Felix Browder
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American mathematician
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Felix Browdermathematics Degrees
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Mathematics
Felix Browder's Degrees
- PhD Mathematics Princeton University
Why Is Felix Browder Influential?
(Suggest an Edit or Addition)According to Wikipedia, Felix Earl Browder was an American mathematician known for his work in nonlinear functional analysis. He received the National Medal of Science in 1999 and was President of the American Mathematical Society until 2000. His two younger brothers also became notable mathematicians, William Browder and Andrew Browder .
Felix Browder's Published Works
Published Works
- Nonlinear functional analysis (1970) (2350)
- Construction of fixed points of nonlinear mappings in Hilbert space (1967) (1127)
- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE. (1965) (833)
- Nonlinear operators and nonlinear equations of evolution in Banach spaces (1976) (736)
- The fixed point theory of multi-valued mappings in topological vector spaces (1968) (599)
- Convergence of approximants to fixed points of nonexpansive nonlinear mappings in banach spaces (1967) (464)
- FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE. (1965) (421)
- The solution by iteration of nonlinear functional equations in Banach spaces (1966) (411)
- The One-Dimensional Heat Equation: Contents (1984) (394)
- On the spectral theory of elliptic differential operators. I (1961) (391)
- Nonlinear mappings of nonexpansive and accretive type in Banach spaces (1967) (387)
- Mathematical developments arising from Hilbert problems (1976) (374)
- Convergence theorems for sequences of nonlinear operators in Banach spaces (1967) (364)
- Nonlinear functional analysis and its applications (1986) (296)
- The One-Dimensional Heat Equation (1984) (280)
- Nonlinear mappings of monotone type in Banach spaces (1972) (272)
- Fixed point theory and nonlinear problems (1983) (267)
- Semicontractive and semiaccretive nonlinear mappings in Banach spaces (1968) (263)
- Nonlinear maximal monotone operators in Banach space (1968) (241)
- Nonlinear monotone operators and convex sets in Banach spaces (1965) (233)
- A new generalization of the Schauder fixed point theorem (1967) (220)
- A general principle on ordered sets in nonlinear functional analysis (1976) (213)
- On the convergence of successive applications for nonlinear functional equations (1968) (191)
- Functional analysis and partial differential equations. II (1959) (178)
- Existence and approximation of solutions of nonlinear variational inequalities. (1966) (174)
- Mathematical Problems. Lecture Delivered Before the International Congress of Mathematicians at Paris in 1900 (1979) (163)
- Variational methods for nonlinear elliptic eigenvalue problems (1965) (155)
- Nonlinear Elliptic Boundary Value Problems (1963) (154)
- The One-Dimensional Heat Equation: Preface (1984) (144)
- Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces (1969) (141)
- Non-Linear Equations of Evolution (1964) (132)
- Nonlinear Operators and Nonlinear Equations of Evolution (1976) (126)
- Partial Differential Equations in the 20th Century (1998) (120)
- ESTIMATES AND EXISTENCE THEOREMS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS. (1959) (113)
- Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces (1967) (112)
- The solvability of non-linear functional equations (1963) (110)
- Nonlinear integral equations and systems of Hammerstein type (1975) (107)
- Existence and uniqueness theorems for solutions of nonlinear boundary value problems (1965) (106)
- Existence theorems for nonlinear partial di erential equations (1970) (106)
- Multi-valued monotone nonlinear mappings and duality mappings in Banach spaces (1965) (103)
- On the unification of the calculus of variations and the theory of monotone nonlinear operators in banach spaces. (1966) (97)
- On non-linear wave equations (1962) (96)
- II. Strongly Elliptic Systems of Differential Equations (1955) (94)
- Pseudo-monotone operators and nonlinear elliptic boundary value problems on unbounded domains. (1977) (88)
- Functional Analysis and Related Fields (1970) (87)
- Fixed point theorems for nonlinear semicontractive mappings in banach spaces (1966) (87)
- Existence theorems for nonlinear integral equations of Hammerstein type (1975) (84)
- The mathematical heritage of Henri Poincaré (1983) (82)
- Monotone operators and nonlinear integral equations of Hammerstein type (1969) (81)
- EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR EQUATIONS OF EVOLUTION. (1965) (81)
- Nonlinear elliptic boundary value problems and the generalized topological degree (1970) (80)
- On the regularity properties of solutions of elliptic differential equations (1956) (79)
- Nonlinear monotone and accretive operators in banach spaces. (1968) (74)
- A strongly nonlinear elliptic problem in Orlicz-Sobolev spaces (1986) (74)
- Nonlinear Functional Analysis and Nonlinear Integral Equations of Hammerstein and Urysohn Type (1971) (72)
- Nonlinear accretive operators in Banach spaces (1967) (70)
- Some new results about Hammerstein equations (1974) (70)
- Nonlinear eigenvalue problems and Galerkin approximations (1968) (69)
- Nonlinear ergodic theorems (1976) (63)
- Infinite Dimensional Manifolds and Non-Linear Elliptic Eigenvalue Problems (1965) (62)
- Nonlinear elliptic boundary value problems. II (1965) (61)
- On the iteration of transformations in noncompact minimal dynamical systems (1958) (61)
- Topological degree and nonlinear mappings of analytic type in Banach spaces (1969) (60)
- Degree of mapping for nonlinear mappings of monotone type. (1983) (58)
- On a Theorem of Beurling and Livingston (1965) (56)
- Nonlinear Functional Analysis and Its Applications, Part 1 (1986) (56)
- Strongly nonlinear elliptic boundary value problems (1978) (54)
- Maximal monotone operators and nonlinear integral equations of Hammerstein type (1970) (53)
- Nonlinear functional equations in Banach spaces and elliptic super-regularization (1968) (53)
- VARIATIONAL BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR ELLIPTIC EQUATIONS OF ARBITRARY ORDER. (1963) (51)
- On the chain rule for the divergence of BV-like vector fields: applications, partial results, open problems (2007) (49)
- Nonlinear operators in Banach spaces (1966) (48)
- The topological degree for noncompact nonlinear mappings in Banach spaces (1968) (46)
- On approximation by solutions of partial differential equations (1962) (46)
- A property of sobolev spaces (1979) (46)
- NON-LOCAL ELLIPTIC BOUNDARY VALUE PROBLEMS. (1964) (45)
- Remarks on nonlinear ergodic theory (1977) (45)
- Nonlinear variational inequalities and maximal monotone mappings in Banach spaces (1969) (44)
- Covering spaces, fibre spaces, and local homeomorphisms (1954) (44)
- Strongly nonlinear parabolic initial-boundary value problems. (1979) (43)
- The topological degree and Galerkin approximations for noncompact operators in Banach spaces (1968) (41)
- Mathematical Developments Arising from Hilbert Problems, Part 1 (1976) (40)
- On quantitative versions of theorems due to (2010) (39)
- Nonlinear Eigenvalue Problems and Group Invariance (1970) (38)
- REMARKS ON NONLINEAR FUNCTIONAL EQUATIONS. (1964) (38)
- A priori estimates for solutions of elliptic boundary-value problems. III (1960) (37)
- The Dirichlet Problem for Linear Elliptic Equations of Arbitrary Even Order with Variable Coefficients. (1952) (37)
- On the Eigenfunctions and Eigenvalues of the General Linear Elliptic Differential Operator. (1953) (37)
- J-Monotone Nonlinear Operators in Banach Spaces (1966) (37)
- Real Analytic Functions on Product Spaces and Separate Analyticity (1961) (36)
- MAPPING THEOREMS FOR NONCOMPACT NONLINEAR OPERATORS IN BANACH SPACES. (1965) (35)
- On a sharpened form of the Schauder fixed-point theorem. (1977) (35)
- Asymptotic fixed point theorems (1970) (34)
- Strongly Non-Linear Parabolic Boundary Value Problems (1964) (33)
- Approximation-solvability of nonlinear functional equations in normed linear spaces (1967) (33)
- Perspectives in nonlinear partial differential equations : in honor of Haïm Brezis (2007) (33)
- Remarks on the direct method of the calculus of variations (1965) (32)
- Pseudo-monotone operators and the direct method of the calculus of variations (1970) (32)
- ON THE SPECTRAL THEORY OF STRONGLY ELLIPTIC DIFFERENTIAL OPERATORS. (1959) (30)
- Non-Linear Initial Value Problems (1965) (29)
- Linear Maximal Monotone Operators and Singular Nonlinear Integral Equations of Hammerstein Type (1978) (29)
- Normal solvability and the Fredholm alternative for mappings into infinite dimensional manifolds (1971) (27)
- THE EIGENFUNCTION EXPANSION THEOREM FOR THE GENERAL SELF-ADJOINT SINGULAR ELLIPTIC PARTIAL DIFFERENTIAL OPERATOR. I. THE ANALYTICAL FOUNDATION. (1954) (25)
- Remarks on nonlinear interpolation in Banach spaces (1969) (24)
- Degree of mapping for nonlinear mappings of monotone type: Densely defined mapping. (1983) (24)
- ASYMPTOTIC DISTRIBUTION OF EIGENVALUES AND EIGEN. FUNCTIONS FOR NON-LOCAL ELLIPTIC BOUNDARY VALUE PROBLEMS, I. (1965) (23)
- On a principle of H. Brézis and its applications (1977) (23)
- Continuity properties of monotone nonlinear operators in Banach spaces (1964) (23)
- Normal solvability and $\phi $-accretive mappings of Banach spaces (1972) (23)
- On the Fredholm alternative for nonlinear operators (1970) (23)
- Remarks on fixed point theorems of contractive type (1979) (23)
- Topological methods for non-linear elliptic equations of arbitrary order. (1966) (22)
- On Some Approximation Methods for Solutions of the Dirichlet Problem for Linear Elliptic Equations of Arbitrary Order (1958) (21)
- VARIATIONAL BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR ELLIPTIC EQUATIONS, III. (1963) (21)
- FIXED POINT THEOREMS ON INFINITE DIMENSIONAL MANIFOLDS (1965) (21)
- Topology and non-linear functional equations (1968) (20)
- Remarks on nonlinear functional equations, II (1965) (18)
- Normal solvability for nonlinear mappings into Banach spaces (1971) (18)
- Degree of mapping for nonlinear mappings of monotone type: Strongly nonlinear mapping. (1983) (18)
- Assumption of Boundary Values and the Green's Function in the Dirichlet Problem for the General Linear Elliptic Equation. (1953) (17)
- Lusternik-Schnirelman category and nonlinear elliptic eigenvalue problems (1965) (17)
- VARIATIONAL BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR ELLIPTIC EQUATIONS, II. (1963) (16)
- On the "Edge of the Wedge" Theorem (1963) (16)
- Analyticity and Partial Differential Equations, I (1962) (16)
- Nonlinear elliptic problems. II (1964) (15)
- Existence and perturbation theorems for nonlinear maximal monotone operators in Banach spaces (1967) (15)
- Mathematics and the sciences (1988) (15)
- Mathematics into the twenty-first century : 1988 centennial symposium, August 8-12 (1992) (14)
- Noncompact problems at the intersection of geometry, analysis, and topology : proceedings of the Brezis-Browder Conference, Noncompact Variational Problems and General Relativity, October 14-18, 2001, Rutgers, the State University of New Jersey, New Brunswick, NJ (2004) (14)
- Maximal monotone operators in nonreflexive Banach spaces and nonlinear integral equations of Hammerstein type (1975) (14)
- Nonlinear parabolic boundary value problems of arbitrary order (1963) (14)
- Strongly nonlinear parabolic variational inequalities. (1980) (13)
- Nonlinear elliptic functional equations in nonreflexive Banach spaces (1966) (13)
- The Relevance of Mathematics. (1976) (13)
- Singular Hammerstein equations and maximal monotone operators (1976) (13)
- A continuity property for adjoints of closed operators in Banach spaces, and its application to elliptic boundary value problems (1961) (13)
- Degree of mapping and its generalizations (1983) (12)
- Linear Parabolic Differential Equations of Arbitrary Order; General Boundary-Value Problems for Elliptic Equations. (1953) (12)
- The Dirichlet and Vibration Problems for Linear Elliptic Differential Equations of Arbitrary Order. (1952) (11)
- On analyticity and partial differential equations (1962) (11)
- Scattering for non-linear wave equations. (1963) (11)
- Nonlinear mappings of analytic type in Banach spaces (1970) (10)
- THE ASYMPTOTIC DISTRIBUTION OF EIGENFUNCTIONS AND EIGENVALUES FOR SEMI-ELLIPTIC DIFFERENTIAL OPERATIONS. (1957) (10)
- Problems of present day mathematics (1976) (10)
- EIGENFUNCTION EXPANSIONS FOR FORMALLY SELF-ADJOINT PARTIAL DIFFERENTIAL OPERATORS. II. (1956) (10)
- The lefschetz fixed point theorem and asymptotic fixed point theorems (1975) (10)
- THE SOLUTION BY ITERATION OF LINEAR FUNCTIONAL EQUATIONS IN BANACH SPACES BY F. E. BROWDER AND W. V. PETRYSHYN (2007) (10)
- Degree theory for nonlinear mappings (1986) (10)
- Eigenfunction Expansions for Non-Symmetric Partial Differential Operators, III (1959) (9)
- The relation of functional analysis to concrete analysis in 20th century mathematics (1975) (8)
- EIGENFUNCTION EXPANSIONS FOR FORMALLY SELF-ADJOINT PARTIAL DIFFERENTIAL OPERATORS. I. (1956) (8)
- Convergence of approximants by regularization for solutions of nonlinear functional equations in Banach spaces (1968) (8)
- Approximation in uniform norm by solutions of elliptic differential equations (1961) (7)
- REGULARITY THEOREMS FOR SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS. (1957) (7)
- Non-linear functional equations in locally convex spaces (1957) (6)
- Normally solvable nonlinear mappings in Banach spaces and their homotopies (1974) (6)
- On the constructive solution of nonlinear functional equations (1977) (6)
- Stone age of mathematics at the midway (1989) (6)
- Families of Linear Operators Depending Upon a Parameter (1965) (6)
- A remark on the Dirichlet problem for non-elliptic self-adjoint partial differential operators (1957) (6)
- Partial Differential Equations in the 20 th Century * (1998) (6)
- Boundary conditions for condensing mappings (1984) (6)
- Principal functions for elliptic systems of differential equations (1965) (6)
- Group invariance in nonlinear functional analysis (1970) (5)
- Strongly nonlinear integral equations of hammerstein type. (1975) (5)
- Mathematical developments arising from Hilbert problems : [proceedings] (1976) (5)
- Remarks on the paper “boundary conditions for condensing mappings” (1984) (5)
- Nonlinear Ergodic Theorems for Asymptotically Nonexpansive Mappings in Banach Spaces Satisfying Opial’s Condition (2003) (5)
- On the Dirichlet problem for linear non-elliptic partial differential equations, II (1958) (5)
- Further remarks on nonlinear functional equations (1966) (5)
- The Mathematical Heritage of Henri Poincaré, Part 2 (1983) (4)
- The Analyticity of Kernels (1961) (4)
- Functional analysis and partial differential equations (1959) (3)
- Some new asymptotic fixed point theorems. (1974) (3)
- PARABOLIC SYSTEMS OF DIFFERENTIAL EQUATIONS WITH TIME-DEPENDENT COEFFICIENTS. (1956) (3)
- EIGENFUNCTION EXPANSIONS FOR SINGULAR ELLIPTIC OPERATORS. II. THE HILBERT SPACE ARGUMENT; PARABOLIC EQUATIONS ON OPEN MANIFOLDS. (1954) (2)
- The One-Dimensional Heat Equation: The One-Phase Stefan Problem with Temperature-Boundary Specification (1984) (2)
- Reflections on the Future of Mathematics (2002) (2)
- The zeros of solutions of elliptic partial differential equations with analytic coefficients (1968) (2)
- On the Proof of Mergelyan's Approximation Theorem (1960) (2)
- Nonlinear and global analysis (1992) (2)
- Erratum to the paper “remarks on fixed point theorems of contractive type” (1981) (2)
- Normal Solvability And Existence Theorems For Nonlinear Mappings In Banach Spaces (2010) (2)
- The One-Dimensional Heat Equation: Foreword by Felix E. Browder (1984) (2)
- The One-Dimensional Heat Equation: The Cauchy Problem (1984) (2)
- Eigenfunction Expansions with Boundary Conditions (1965) (2)
- Singular nonlinear integral equations of Hammerstein type (1975) (2)
- Generalizations of accretivity for nonlinear mappings of Banach spaces (1972) (1)
- Normal Solvability for Nonlinear Mappings and the Geometry of Banach Spaces (2010) (1)
- On a sharpened form of the Leray-Lions' ellipticity criterion (1997) (1)
- Contributions to Functional Analysis (1966) (1)
- The One-Dimensional Heat Equation: Analyticity of Solutions (1984) (1)
- ON A FIXED POINT THEOREM FOR NONEXPANSIVE NONLINEAR OPERATOR (2008) (1)
- Functional analysis and related fields : proceedings of a conference in honor of professor Marshall Stone, held at the University of Chicago, May 1968 (1970) (1)
- Mathematics vs. Numerical Analysis. (1965) (1)
- String theory and geometry (1988) (0)
- Commutators with powers of an unbounded operator in Hilbert space (1965) (0)
- The One-Dimensional Heat Equation: The Inhomogeneous Heat Equation ut = uxx + f ( x, t ) (1984) (0)
- Of time, intelligence, and institutions (1993) (0)
- Partial Differential Operators (2020) (0)
- The One-Dimensional Heat Equation: Preliminaries (1984) (0)
- Science and the American future (1982) (0)
- Haïm Brezis, Guest Editor (2018) (0)
- Uniqueness of the Mapping Degree for Elliptic Operators with Strong Zero Order Nonlinearities (1986) (0)
- Haïm Brezis, Guest Editor (2018) (0)
- Let H be a Hilbert space with inner product (u,v). Consider the time-dependent nonlinear equation of evolution in H given by (2016) (0)
- The One-Dimensional Heat Equation: Integral Equations (1984) (0)
- The One-Dimensional Heat Equation: The Initial-Value Problem (1984) (0)
- The One-Dimensional Heat Equation: Some Properties of Solutions in General Domains (1984) (0)
- Review: Fritz John, Plane waves and spherical means applied to partial differential equations (1957) (0)
- NONLINEAR MONOTONE AND ACCRETIVE OPERATORS (2016) (0)
- Mathematics and Society- A Historical View (1978) (0)
- VALUE PROBLEMS. II( (2016) (0)
- The One-Dimensional Heat Equation: Some References to the Literature on ℒ( u ) ≡ uxx – ut (1984) (0)
- The One-Dimensional Heat Equation: The Initial-Boundary-Value Problem for the Quarter Plane with Temperature-Boundary Specification (1984) (0)
- NONLINEAR ELLIPTIC PROBLEMS (2007) (0)
- CLASSIFICATION OF OPERATORS BY MEANS OF THE OPERATIONAL CALCULUS (2007) (0)
- The One-Dimensional Heat Equation: Solutions of Boundary-Value Problems for All Times and Periodic Solutions (1984) (0)
- GENERALIZATIONS OF F. E. BROWDER'S SHARPENED FORM OF THE SCHAUDER FIXED POINT THEOREM (2008) (0)
- The One-Dimensional Heat Equation: The One-Phase Stefan Problem with Flux-Boundary Specification: Some Exercises (1984) (0)
- The One-Dimensional Heat Equation: Some Numerical Methods for Some State-Estimation Problems (1984) (0)
- Proceedings of the NATIONAL NCADEMY OF SCIENCES (0)
- The One-Dimensional Heat Equation: An Application of the Inhomogeneous Heat Equation: The Equation ut = uxx + F ( x,t,u,ux ) (1984) (0)
- QUANTIZATION AND REPRESENTATIONS OF SOLVABLE LIE GROUPS BY L. AUSLANDER AND B. KOSTANT (2007) (0)
- REGULATING TRANSFORMER WITH NON-SATURATING INPUT AND OUTPUT REGIONS (2017) (0)
- THE PROPAGATION OF DISCONTINUITIES IN WAVE MOTION*,t (0)
- THE PROPAGATION OF DISCONTINUITIES IN WAVE MOTION*,t (0)
- There was a total registration of 256 , including the following 206 members of the Society : (2007) (0)
- The One-Dimensional Heat Equation: Initial- and/or Boundary-Value Problems for General Regions with Hölder Continuous Boundaries (1984) (0)
- LECTURE SERIES IN DIFFERENTIAL EQUATIONS. SESSION 3. BOUNDARY VALUE PROBLEMS. (1966) (0)
- The One-Dimensional Heat Equation: Introduction (1984) (0)
- Asymptotically orientation-preserving mappings in Banach spaces (1977) (0)
- EXTREMAL PROBLEMS FOR A CLASS OF FUNC- TIONALS DEFINED ON CONVEX SETS (2007) (0)
- The One-Dimensional Heat Equation: The Solution in a General Region with Temperature-Boundary Specification: The Method of Perron-Poincaré (1984) (0)
- The One-Dimensional Heat Equation: Continuous Dependence upon the Data for Some State-Estimation Problems (1984) (0)
- THE ANNUAL MEETING OF THE SOCIETY The fifty-eighth Annual Meeting of the American Mathematical (2007) (0)
- (existence theorems/singular case/a priori bound/Leray-Schauder principle/truncation) (0)
- The One-Dimensional Heat Equation: The Initial-Boundary-Value Problem for the Semi-Infinite Strip with Temperature-Boundary Specification and Heat-Flux-Boundary Specification (1984) (0)
- STUDIES IN ANALYSIS, NUMBER THEORY AND LOGIC. (1965) (0)
- NONLINEAR FUNCTIONAL EQUATIONS IN BANACH SPACES AND HOMOTOPY ARGUMENTS (2007) (0)
- Mathematics vs. Numerical Analysis (1965) (0)
- CONTROLLABILITY AND PERIODIC SOLUTIONS OF NONLINEAR WAVE EQUATIONS (2017) (0)
- The One-Dimensional Heat Equation: Editor's Statement (1984) (0)
- Continued Fractions: Section Editor's Foreword (1984) (0)
- MULTI-VALUED MONOTONE NONLINEAR (2016) (0)
- The One-Dimensional Heat Equation: The Reduction of Some Initial-Boundary-Value Problems for the Semi-Infinite Strip, to Integral Equations: Some Exercises (1984) (0)
- The One-Dimensional Heat Equation: Determination of an Unknown Time-Dependent Diffusivity a ( t ) from Overspecified Data (1984) (0)
- PERTURBATION BY CERTAIN COMPACT OPERATORS (2016) (0)
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