Panagiotis E. Souganidis

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#4986

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#1872

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#2284

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Mathematics

Why Is Panagiotis E. Souganidis Influential?

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According to Wikipedia, Panagiotis E. Souganidis is an American mathematician, specializing in partial differential equations. Biography Souganidis graduated in 1981 with B.A. from the National and Kapodistrian University of Athens. At the University of Wisconsin–Madison he graduated with M.A. in 1981 and Ph.D. in 1984 with thesis under the supervision of Michael G. Crandall. Souganidis was a postdoc in 1984–1985 at the University of Minnesota's Institute for Mathematics and its Applications and was at the Institute for Advanced Study in 1988 and 1990. After holding professorships at Brown University, the University of Wisconsin–Madison, and the University of Texas at Austin, he became in 2008 the Charles H. Swift Distinguished Service Professor in Mathematics at the University of Chicago. He has held visiting positions at academic institutions in Italy, Japan, Greece, France, the UK, and Sweden.

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Panagiotis E. Souganidis'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

Convergence of approximation schemes for fully nonlinear second order equations (1990) (1144)
Phase Transitions and Generalized Motion by Mean Curvature (1992) (551)
Differential Games and Representation Formulas for Solutions of Hamilton-Jacobi-Isaacs Equations. (1983) (538)
Stability and instability of solitary waves of Korteweg-de Vries type (1987) (388)
Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates (1998) (333)
Approximation schemes for viscosity solutions of Hamilton-Jacobi equations (1985) (316)
Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales (1994) (180)
Stochastic homogenization of Hamilton–Jacobi equations and some applications (1999) (162)
A PDE approach to geometric optics for certain semilinear parabolic equations (1989) (156)
A New Approach to Front Propagation Problems: Theory and Applications (1998) (152)
Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media (2005) (150)
On the Large Time Behavior of Solutions of Hamilton-Jacobi Equations (2000) (149)
Fully nonlinear stochastic partial differential equations: non-smooth equations and applications (1998) (142)
Homogenization of “Viscous” Hamilton–Jacobi Equations in Stationary Ergodic Media (2005) (135)
Correctors for the homogenization of Hamilton‐Jacobi equations in the stationary ergodic setting (2003) (134)
Differential Games, Optimal Control and Directional Derivatives of Viscosity Solutions of Bellman’s and Isaacs’ Equations (1985) (133)
A uniqueness result for viscosity solutions of second order fully nonlinear partial di (1988) (131)
Space-Time Periodic Solutions and Long-Time Behavior of Solutions to Quasi-linear Parabolic Equations (2001) (119)
A limiting case for velocity averaging (1998) (118)
Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor (1995) (116)
Instability of a class of dispersive solitary waves (1990) (112)
A rate of convergence for monotone finite difference approximations to fully nonlinear, uniformly elliptic PDEs (2008) (108)
Wavefront propagation for reaction-diffusion systems of PDE (1990) (106)
Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications (2005) (106)
Rates of convergence for the homogenization of fully nonlinear uniformly elliptic pde in random media (2010) (102)
Asymptotic and numerical homogenization (2008) (101)
Existence of viscosity solutions of Hamilton-Jacobi equations (1985) (101)
Convergence of Nonlocal Threshold Dynamics Approximations to Front Propagation (2008) (99)
Fully nonlinear stochastic partial differential equations (1998) (92)
Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations (1995) (89)
Viscosity solutions and applications : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 12-20, 1995 (1997) (86)
Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations (2000) (84)
Singularities and uniqueness of cylindrically symmetric surfaces moving by mean curvature (1993) (84)
Front propagation: Theory and applications (1997) (83)
Threshold dynamics type approximation schemes for propagating fronts (1999) (81)
Fully nonlinear stochastic PDE with semilinear stochastic dependence (2000) (73)
Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments (2011) (72)
Scalar conservation laws with rough (stochastic) fluxes (2013) (71)
Generalized motion by mean curvature as a macroscopic limit of stochastic ising models with long range interactions and Glauber dynamics (1995) (68)
PDE-viscosity solution approach to some problems of large deviations (1986) (67)
Max-min representations and product formulas for the viscosity solutions of Hamilton-Jacobi equations with applications to differential games (1985) (65)
Long‐Time Behavior, Invariant Measures, and Regularizing Effects for Stochastic Scalar Conservation Laws (2014) (63)
Stochastic Homogenization of Level-Set Convex Hamilton–Jacobi Equations (2012) (62)
Comparison of turbulent flame speeds from complete averaging and the G‐equation (1995) (61)
Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case (2014) (58)
Homogenization and Enhancement for the G—Equation (2010) (57)
Maximal solutions and universal bounds for some partial differential equations of evolution (1989) (57)
Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations (2012) (56)
Stochastic homogenization of Hamilon-Jacobi and "viscous"-Hamilton-Jacobi equations with convex nonlinearities -- Revisited (2010) (53)
Stochastic Ising models and anisotropic front propagation (1997) (52)
Asymptotic Series and the Methods of Vanishing Viscosity (1985) (48)
Interacting particle systems and generalized evolution of fronts (1994) (47)
Flame fronts in a turbulent combustion model with fractal velocity fields (1998) (45)
Scalar conservation laws with multiple rough fluxes (2014) (44)
A discussion about the homogenization of moving interfaces (2009) (44)
Viscosity solutions for junctions: well posedness and stability (2016) (44)
A PDE approach to certain large deviation problems for systems of parabolic equations (1989) (43)
Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions (2008) (42)
Phase-field theory for Fitzhugh-Nagumo-type systems (1996) (41)
Finite volume schemes for Hamilton–Jacobi equations (1999) (41)
Anisotropic Motion of an Interface Relaxed by the Formation of Infinitesimal Wrinkles (1995) (40)
Uniqueness of motion by mean curvature perturbed by stochastic noise (2004) (39)
Some counterexamples on the asymptotic behavior of the solutions of Hamilton–Jacobi equations (2000) (38)
Stochastic non-isotropic degenerate parabolic–hyperbolic equations (2016) (37)
Stochastic averaging lemmas for kinetic equations (2012) (35)
Homogenization and Enhancement of the G‐Equation in Random Environments (2011) (35)
Two-Player, Zero-Sum Differential Games and Viscosity Solutions (1999) (35)
Dissipative and Entropy Solutions to Non-Isotropic Degenerate Parabolic Balance Laws (2003) (35)
Viscosity Solutions of Fully Nonlinear Stochastic Partial Differential Equatios (微分方程式の粘性解とその周辺研究集会報告集) (2002) (35)
Front propagation for reaction-diffusion equations of bistable type (1992) (34)
Homogenization and non-homogenization of certain non-convex Hamilton–Jacobi equations (2016) (33)
Large-Time Behavior for Viscous and Nonviscous Hamilton-Jacobi Equations Forced by Additive Noise (2005) (31)
The Relation Between the Porous Medium and the Eikonal Equations in Several Space Dimensions. (1987) (31)
Viscosity Solutions of Second-Order Equations, Stochastic Control and Stochastic Differential Games (1988) (31)
Convergence of difference approximations of quasilinear evolution equations (1986) (29)
Well posedness for multi-dimensional junction problems with Kirchoff-type conditions (2017) (29)
Effective geometric front dynamics for premixed turbulent combustion with separated velocity scales (1994) (28)
Asymmetric potentials and motor effect: a homogenization approach (2009) (27)
Eikonal equations and pathwise solutions to fully non-linear SPDEs (2016) (27)
Front propagation for a jump process model arising in spacial ecology (2005) (27)
A regularity result for viscosity solutions of Hamilton-Jacobi equations in one space dimension (1987) (21)
Existence and uniqueness of weak solutions for precipitation fronts: A novel hyperbolic free boundary problem in several space variables (2010) (20)
A REMARK ON THE ASYMPTOTIC BEHAVIOR OF THE RESOLUTION OF THE KPP EQUATION (1994) (20)
Rare mutations limit of a steady state dispersal evolution model (2016) (20)
Phasefield theory for fractional diffusion-reaction equations and applications (2009) (19)
Asymmetric Potentials and Motor Effect: A Large Deviation Approach (2007) (19)
Time fluctuations in a population model of adaptive dynamics (2013) (18)
Semi-discretization for Stochastic Scalar Conservation Laws with Multiple Rough Fluxes (2015) (17)
Extended mean-field games (2020) (17)
Developments in the Theory of Nonlinear First-Order Partial Differential Equations (1984) (17)
Uniqueness and singularities of cylindrically symmetric surfaces moving by mean curvature (1991) (17)
A homogenization approach for the motion of motor proteins (2012) (16)
A pde approach to small stochastic perturbations of Hamiltonian flows (2012) (16)
Remarks on the Dirichlet Problem for Quasilinear Elliptic and Parabolic Equations (1999) (15)
Pathwise Solutions for Fully Nonlinear First- and Second-Order Partial Differential Equations with Multiplicative Rough Time Dependence (2018) (15)
Interface Dynamics in Phase Transitions (1995) (15)
Free boundary problems for Tumor Growth: a Viscosity solutions approach (2015) (15)
Large time average of reachable sets and Applications to Homogenization of interfaces moving with oscillatory spatio-temporal velocity (2014) (14)
Speed of propagation for Hamilton–Jacobi equations with multiplicative rough time dependence and convex Hamiltonians (2018) (14)
Front propagation for integro-differential KPP reaction–diffusion equations in periodic media (2019) (13)
On the existence of correctors for the stochastic homogenization of viscous hamilton-jacobi equations (2017) (13)
The Effect of Turbulence on Mixing in Prototype Reaction-Diffusion Systems (2000) (12)
On nonlinear equations of evolution (1989) (11)
VISCOSITY SOLUTIONS OF FULLY NONLINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS (Viscosity Solutions of Differential Equations and Related Topics) (2002) (11)
A remark about viscosity solutions of Hamilton-Jacobi equations at the boundary (1986) (11)
Recent developments in the theory of front propagation and its applications (2002) (11)
Examples and Counterexamples for Huygens Principle in Premixed Combustion (1996) (10)
Bounds on enhanced turbulent flame speeds for combustion with fractal velocity fields (1996) (10)
Metastability for parabolic equations with drift: Part i (2013) (9)
A homogenization approach to flashing ratchets (2011) (9)
Differential games and directional derivatives of viscosity solutions of Issacs' equations II (1986) (9)
Singular Hamilton-Jacobi equation for the tail problem (2010) (9)
Quantitative homogenization of elliptic partial differential equations with random oscillatory boundary data (2015) (8)
On first order mean field game systems with a common noise (2020) (8)
Blow-Up of solutions of hamilton-jacobi equations (1986) (8)
Rare mutations limit of a steady state dispersion trait model (2015) (8)
Stochastic homogenization of interfaces moving with changing sign velocity (2014) (7)
Stochastic homogenization of viscous superquadratic Hamilton–Jacobi equations in dynamic random environment (2016) (7)
A PDE approach to asymptotic estimates for optimal exit probabilities (1985) (7)
Weak Stability of Isentropic Gas Dynamics for y = 5-3. (1996) (6)
Convergence of Deterministic Growth Models (2021) (6)
Weak solutions of the master equation for Mean Field Games with no idiosyncratic noise (2021) (6)
Regularity of the value function and quantitative propagation of chaos for mean field control problems (2022) (6)
Concentration phenomena for neutronic multigroup diffusion in random environments (2012) (5)
An algebraic convergence rate for the optimal control of McKean-Vlasov dynamics (2022) (5)
A Singular Hamilton-Jacobi Equation Modeling the Tail Problem (2010) (5)
Addendum to: “Dissipative and Entropy Solutions to Non-Isotropic Degenerate Parabolic Balance Laws” (2004) (5)
Metastability for parabolic equations with drift: Part II. The quasilinear case (2015) (4)
Super-linear propagation for a general, local cane toads model (2017) (4)
New regularity results for Hamilton–Jacobi equations and long time behavior of pathwise (stochastic) viscosity solutions (2020) (4)
Stochastic homogenization of $L^\infty$ variational problems (2011) (4)
Front Propagation for Nonlocal KPP Reaction-Diffusion Equations in Periodic Media (2017) (4)
Brownian fluctuations of flame fronts with small random advection (2018) (3)
Monotone Solutions of the Master Equation for Mean Field Games with Idiosyncratic Noise (2022) (3)
Scaling limits and stochastic homogenization for some nonlinear parabolic equations (2020) (3)
Interpolation results for pathwise Hamilton-Jacobi equations (2020) (3)
New regularity results and long time behavior of pathwise (stochastic) Hamilton-Jacobi equations (2019) (3)
Homogenization of the backward-forward meanfield games systems in periodic environments (2019) (2)
Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations (2013) (2)
Recent developments in the theory of homogenization for fully nonlinear first and second-order pde in random environments (2006) (2)
Perturbation problems in homogenization of Hamilton–Jacobi equations (2017) (2)
The Deterministic and Stochastic Shallow Lake Problem (2016) (2)
The asymptotics of stochastically perturbed reaction-diffusion equations and front propagation (2019) (2)
Quasinonlinear Evolution Equations. (1982) (2)
HOMOGENIZATION OF INTERFACES MOVING IN SPATIALLY RANDOM TEMPORALLY PERIODIC ENVIRONMENT (2017) (1)
Scalar conservation laws with rough (stochastic) fluxes (2013) (1)
RATES OF CONVERGENCE FOR MONOTONE APPROXIMATIONS OF VISCOSITY SOLUTIONS OF FULLY NONLINEAR UNIFORMLY ELLIPTIC PDE (Viscosity Solutions of Differential Equations and Related Topics) (2009) (1)
Quantitative Homogenization of Elliptic PDE with Random Oscillatory Boundary Data (2014) (1)
Comparison principles for second-order elliptic/parabolic equations with discontinuities in the gradient compatible with Finsler norms (2021) (1)
A limiting case of averaging compactness lemmas motivated by the kinetic formulation of some classical systems of fluid mechanics (1999) (0)
A P ] 8 S ep 2 01 3 Scalar conservation laws with rough ( stochastic ) fluxes (0)
Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case (2014) (0)
The reactive-telegraph equation and a related kinetic model (2017) (0)
Homogenization Theory: Periodic and Beyond (2022) (0)
Uperieure S Ormale N Ecole a Limiting Case for Velocity Averaging a Limiting Case for Velocity Averaging a Limiting Case for Velocity Averaging (1998) (0)
Mean field games with common noise and degenerate idiosyncratic noise (2022) (0)
A homogenization approach for the motion of motor proteins (2012) (0)
Dynamical Systems and Nonlinear Partial Differential Equations (1993) (0)
.AsYbIpTOTIC SERIES FOR SOLUTIOSS TO THE DYX.UlIC PROGR.MDI1h'G EQUATION FOR DIFFUSIONS KITH SblALL NOISE (1985) (0)
The PDE workshop on Analysis of Nonlinear PDEs and Free Boundary Problems : Applications to Homogenization (2009) (0)
Scalar conservation laws: Initial and boundary value problems revisited and saturated solutions (2018) (0)
The reactive-telegraph equation and a related kinetic model (2017) (0)
Fully Nonlinear Stochastic Partial Diierential Equations: Non-smooth Equations and Applications Equations Aux D Eriv Ees Partielles Stochastiques Compl Etement Non Lin Eaires : Equations Non R Eguli Eres Et Applications (0)
On the Langevin equation with variable friction (2017) (0)
Markov Chain Approximations for Deter- Ministic Control Problems with Aane Dynamics and Quadratic Cost In (1998) (0)
the spatially dependent case (2014) (0)
RECENT ADVANCES IN THE THEORY OF HOMOGENIZATION FOR FULLY NONLINEAR FIRST- AND SECOND-ORDER PDE IN STATIONARY ERGODIC MEDIA (Viscosity Solution Theory of Differential Equations and its Developments) (2005) (0)
Proceedings of minisemester on evolution of interfaces, Sapporo 2010 (2010) (0)
Stochastic homogenization of viscous superquadratic Hamilton–Jacobi equations in dynamic random environment (2017) (0)
Advances in the theory of random homogenization (2014) (0)
Singular Random Dynamics (2019) (0)
Front propagation for integro-differential KPP reaction–diffusion equations in periodic media (2019) (0)
Title RATES OF CONVERGENCE FOR MONOTONE APPROXIMATIONS OF VISCOSITY SOLUTIONS OF FULLY NONLINEAR UNIFORMLY ELLIPTIC PDE (Viscosity Solutions of Differential Equations and Related Topics) (2018) (0)
Eikonal equations and pathwise solutions to fully non-linear SPDEs (2016) (0)
Recent developments in the theory of homogenization for fully nonlinear first and second-order pde in random (2006) (0)
Asymptotic series for solutions to the dynamic programming equation for diffusions with small noise (1985) (0)
Long-time behaviour of stochastic Hamilton-Jacobi equations (2022) (0)
Progress Report for Contract N00014-93-1-0015 (University of Wisconsin- Madison) (1993) (0)
Effective transmission conditions for second-order elliptic equations on networks in the limit of thin domains (2020) (0)
On the Langevin equation with variable friction (2017) (0)
New regularity results for Hamilton–Jacobi equations and long time behavior of pathwise (stochastic) viscosity solutions (2020) (0)
Speed of propagation for Hamilton–Jacobi equations with multiplicative rough time dependence and convex Hamiltonians (2019) (0)

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