Dorina Mitrea
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Romanian-American mathematician
Dorina Mitrea's AcademicInfluence.com Rankings
Dorina Mitreamathematics Degrees
Mathematics
#6531
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#9026
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Measure Theory
#4581
World Rank
#5361
Historical Rank
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Mathematics
Dorina Mitrea's Degrees
- PhD Mathematics University of Missouri
- Masters Mathematics University of Bucharest
- Bachelors Mathematics University of Bucharest
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Why Is Dorina Mitrea Influential?
(Suggest an Edit or Addition)According to Wikipedia, Dorina Irena-Rita Mitrea is a Romanian-American mathematician known for her work in harmonic analysis, partial differential equations, and the theory of distributions, and in mathematics education. She is a professor of mathematics and chair of the mathematics department at Baylor University.
Dorina Mitrea's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates (2011) (313)
- Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds (2001) (173)
- Vector potential theory on nonsmooth domains in R3 and applications to electromagnetic scattering (1997) (101)
- The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains (2008) (66)
- Differential operators and boundary value problems on hypersurfaces (2006) (52)
- Distributions, Partial Differential Equations, and Harmonic Analysis (2018) (51)
- The method of layer potentials for non-smooth domains with arbitrary topology (1997) (48)
- Boundary value problems for the Laplacian in convex and semiconvex domains (2010) (46)
- Extending Sobolev Functions with Partially Vanishing Traces from Locally (epsilon,delta)-Domains and Applications to Mixed Boundary Problems (2012) (43)
- Finite Energy Solutions of Maxwell's Equations and Constructive Hodge Decompositions on Nonsmooth Riemannian Manifolds (2002) (41)
- $L^p$-Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets (2013) (37)
- On the Regularity of Green Functions in Lipschitz Domains (2010) (32)
- Traces of differential forms on Lipschitz domains, the boundary De Rham complex, and Hodge decompositions (2008) (32)
- Variable Coefficient Transmission Problems and Singular Integral Operators on Non-Smooth Manifolds (2006) (27)
- Groupoid Metrization Theory: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis (2012) (26)
- The Dirichlet problem for elliptic systems with data in Köthe function spaces (2014) (19)
- A generalization of Dahlberg’s theorem concerning the regularity of harmonic Green potentials (2008) (19)
- On the Besov regularity of conformal maps and layer potentials on nonsmooth domains (2003) (18)
- Coercive energy estimates for differential forms in semi-convex domains (2010) (18)
- Layer potentials and Hodge decompositions in two dimensional Lipschitz domains (2002) (17)
- Groupoid metrization theory (2013) (16)
- Hardy spaces and regularity for the inhomogeneous Dirichlet and Neumann problems (2013) (16)
- The Hodge-laplacian: Boundary Value Problems on Riemannian Manifolds (2016) (16)
- General Second Order, Strongly Elliptic Systems in Low Dimensional Nonsmooth Manifolds (2001) (15)
- On the nature of the laplace–beltrami operator on lipschitz manifolds (2011) (14)
- Uniqueness for inverse conductivity and transmission problems in the class of lipschitz domains (1998) (14)
- Perspectives in partial differential equations, harmonic analysis and applications : a volume in honor of Vladimir G. Maz'ya's 70th birthday (2008) (14)
- The BMO-Dirichlet problem for elliptic systems in the upper half-space and quantitative characterizations of VMO (2016) (13)
- The higher order regularity Dirichlet problem for elliptic systems in the upper-half space (2014) (11)
- Abstract capacitary estimates and the completeness and separability of certain classes of non-locally convex topological vector spaces (2012) (11)
- Integral equation methods for div-curl problems for planar vector fields in nonsmooth domains (2005) (9)
- Boundary integral methods for harmonic differential forms in Lipschitz domains (1996) (8)
- A generalization of a theorem of Euler (1994) (6)
- Characterizing regularity of domains via the Riesz transforms on their boundaries (2014) (6)
- Radiation Conditions and Integral Representations for Clifford Algebra-Valued Null-Solutions of the Helmholtz Operator (2018) (4)
- Weighted Sobolev Space Estimates for a Class of Singular Integral Operators (2010) (4)
- Square Function Estimates in Spaces of Homogeneous Type and on Uniformly Rectifiable Euclidean Sets (2014) (4)
- A Sharp Divergence Theorem with Nontangential Traces (2020) (4)
- Sharp Hodge decompositions in two and three dimensional Lipschitz domains (2002) (4)
- Sharp $L^p$-Hodge decompositions for Lipschitz domains in $\mathbb R^2$ (2002) (4)
- On the Lp-Poisson Semigroup Associated with Elliptic Systems (2014) (3)
- On the Well-posedness of the Dirichlet Problem in Certain Classes of Nontangentially Accessible Domains (2009) (3)
- A Fatou Theorem and Poisson’s Integral Representation Formula for Elliptic Systems in the Upper Half-Space (2019) (3)
- Fatou-type theorems and boundary value problems for elliptic systems in the upper half-space (2019) (3)
- Characterizing Lyapunov domains via Riesz transforms on H\"older spaces (2014) (3)
- Triebel‐Lizorkin sequence spaces are genuine mixed‐norm spaces (2013) (3)
- The transmission problem for multilayered anisotropic elastic bodies with rough interfaces (1999) (2)
- Radiation Conditions and Integral Representations for Clifford Algebra-Valued Null-Solutions of the Iterated Helmholtz Operator (2018) (2)
- On the Extension of Divergence-Free Vector Fields Across Lipschitz Interfaces (2008) (2)
- Geometric Harmonic Analysis I (2022) (2)
- Hardy spaces of Clifford algebra-valued monogenic functions in exterior domains and a higher dimensional version of Cauchy’s vanishing theorem (2017) (2)
- Higher degree layer potentials for non-smooth domains with arbitrary topology (2000) (2)
- Integral methods for the wave operator on Lipschitz cylinders (2002) (1)
- A general converse theorem for mean‐value theorems in linear elasticity (2006) (1)
- Regularity of the Green Potential for the Laplacian with Robin Boundary Condition (2010) (1)
- On the Regularity of the Harmonic Green Potential in Nonsmooth Domains (2006) (1)
- Multilayer potentials for higher-order systems in rough domains (2021) (1)
- Poisson problems with half-Dirichlet boundary conditions for Dirac operators on nonsmooth manifolds (2002) (1)
- Boundary value problems for harmonic vector fields on nonsmooth domains (2019) (1)
- Singular Integral Operators, Quantitative Flatness, and Boundary Problems (2022) (1)
- 9. Further Tools from Differential Geometry, Harmonic Analysis, Geometric Measure Theory, Functional Analysis, Partial Differential Equations, and Clifford Analysis (2016) (0)
- The Space $$\mathcal {D} '(\varOmega )$$ of Distributions (2018) (0)
- Solutions to Selected Exercises (2013) (0)
- The Space of Tempered Distributions (2013) (0)
- More on Fundamental Solutions for Systems (2013) (0)
- The Lamé and Stokes Operators (2013) (0)
- The Space $$\mathcal{D}^{\prime}(\Omega )$$ of Distributions (2013) (0)
- The Concept of a Fundamental Solution (2013) (0)
- Geometric Harmonic Analysis II (2022) (0)
- Semigroupoids and Groupoids (2013) (0)
- 5. Dirichlet and Neumann Boundary Value Problems for the Hodge-Laplacian on Regular SKT Domains (2016) (0)
- The Schwartz Space and the Fourier Transform (2013) (0)
- 7. Solvability of Boundary Problems for the Hodge-Laplacian in the Hodge-de Rham Formalism (2016) (0)
- Potential theoretic methods for the hyperbolic Maxwell system in rough cylinders (2004) (0)
- On the Boundedness of Calderón-Zygmund Operators with Monogenic Kernels (2008) (0)
- Quantitative Metrization Theory (2013) (0)
- 1. Introduction and Statement of Main Results (2016) (0)
- The Heat Operator and Related Versions (2013) (0)
- Functional Analysis on Quasi-Pseudonormed Groups (2013) (0)
- Finer Interior Estimates for Injectively Elliptic Systems of Arbitrary Order (2022) (0)
- 8. Additional Results and Applications (2016) (0)
- 6. Fatou Theorems and Integral Representations for the Hodge-Laplacian on Regular SKT Domains (2016) (0)
- 4. Harmonic Layer Potentials Associated with the Levi-Civita Connection on UR Domains (2016) (0)
- HÖLDER ESTIMATES FOR THE ELASTIC FAR-FIELD PATTERN WITH RESPECT TO THE BOUNDARY (1999) (0)
- The Dirichlet problem with VMO data in upper-graph Lipschitz domains (2019) (0)
- Compactness, or Lack Thereof, for the Harmonic Double Layer (2021) (0)
- Non‐classical boundary value problems of elastostatics and hydrostatics on Lipschitz domains (2001) (0)
- Boundary value problems for harmonic vector fields on non-smooth domains (2000) (0)
- Uniqueness for Inverse Inhomogeneous Transmission Problems in Lipschitz Domains (2004) (0)
- The Laplacian and Related Operators (2013) (0)
- On the Lp-Poisson Semigroup Associated with Elliptic Systems (2017) (0)
- THE WAVE OPERATOR (2020) (0)
- Applications to Analysis on Quasimetric Spaces (2013) (0)
- NON-SMOOTH DOMAINS WITH ARBITRARY TOPOLOGY (2000) (0)
- Radiation Conditions and Integral Representations for Clifford Algebra-Valued Null-Solutions of the Helmholtz Operator (2018) (0)
- 3. Harmonic Layer Potentials Associated with the Hodge-de Rham Formalism on UR Domains (2016) (0)
- Nonlocally Convex Functional Analysis (2013) (0)
- Failure of Fredholm solvability for the Dirichlet problem corresponding to weakly elliptic systems (2021) (0)
- Calderón–Zygmund Theory for Second-Order Elliptic Systems on Riemannian Manifolds (2015) (0)
- 2. Geometric Concepts and Tools (2016) (0)
- Sharp Invertibility Results for Layer Potentials in 2D (2002) (0)
- The Poisson integral formula for variable-coefficient elliptic systems in rough domains (2020) (0)
- Mean value formulas for differential operators (2005) (0)
- The Concept of Fundamental Solution (2018) (0)
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