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Annales de l'Institut Henri Poincaré / Analyse non linéaire, ISSN 0294-1449, 05/1996, Volume 13, Issue 3, pp. 293 - 317
We investigate the questions of the existence and uniqueness of viscosity solutions to the Cauchy problem for integro-differential PDEs with nonlinear integral... 
35 K 15 | 45 K 05 | stochastic differential utility | viscosity solutions | 90 A 10 | 49 L 25 | nonlinear integro-differential parabolic PDE | MATHEMATICS, APPLIED | HAMILTON-JACOBI EQUATIONS | UTILITY | Differential equations
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 07/2018, Volume 265, Issue 2, pp. 719 - 732
We study the Lasry–Lions approximation using the kernel determined by the fundamental solution with respect to a time-dependent Tonelli Lagrangian. This... 
Aubry–Mather theory | Weak KAM theory | Hamilton–Jacobi equations | Lasry–Lions regularization | MATHEMATICS | Hamilton-Jacobi equations | HILBERT-SPACES | SET | LAX-OLEINIK | LEMMA | POINT-OF-VIEW | DYNAMICS | Lasry-Lions regularization | Aubry-Mather theory | REGULARIZATION
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 05/2019, Volume 351, pp. 270 - 289
We design, analyze and numerically validate alternating evolution schemes for solving static Hamilton–Jacobi equations. This class of high resolution numerical... 
Finite difference | Alternating evolution | Hamilton–Jacobi equation | Viscosity solution | VISCOSITY SOLUTIONS | MATHEMATICS, APPLIED | Hamilton-Jacobi equation | APPROXIMATIONS | ALGORITHMS | ORDERED UPWIND METHODS | DISCONTINUOUS GALERKIN METHODS | CONSTRUCTION | FAST SWEEPING METHODS | SCHEMES
Journal Article
Automatica, ISSN 0005-1098, 2011, Volume 47, Issue 8, pp. 1556 - 1569
Journal Article
JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 12/2017, Volume 2017, Issue 12, p. 1
We demonstrate separability of the Maxwell's equations in the Myers-Perry(A) dS geometry and derive explicit solutions for various polarizations. Application... 
KILLING TENSORS | Black Holes | GRAVITATIONAL PERTURBATIONS | VARIABLE SEPARATION | DE-SITTER METRICS | STRING THEORY | Black Holes in String Theory | HAMILTON-JACOBI | ABSORPTION | GREYBODY FACTORS | FUZZBALL PROPOSAL | ROTATING BLACK-HOLES | PHYSICS, PARTICLES & FIELDS | String theory
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 05/2017, Volume 337, pp. 27 - 41
In this paper, a new type of finite difference Hermite weighted essentially non-oscillatory (HWENO) schemes are constructed for solving Hamilton–Jacobi (HJ)... 
HWENO method | Hamilton–Jacobi equation | Finite difference method | TRIANGULAR MESHES | EFFICIENT IMPLEMENTATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Hamilton-Jacobi equation | ELEMENT-METHOD | DISCONTINUOUS GALERKIN METHOD | UNSTRUCTURED MESHES | PHYSICS, MATHEMATICAL
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 04/2005, Volume 74, Issue 250, pp. 603 - 627
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 08/2019, Volume 267, Issue 5, pp. 2918 - 2949
In this paper, we prove the stochastic homogenization of certain nonconvex Hamilton–Jacobi equations. The nonconvex Hamiltonians, which are generally uneven... 
Uneven | Min-max formula/identity | Stochastic homogenization | Hamilton–Jacobi equation | Nonconvex | Stationary ergodic | MATHEMATICS | VISCOSITY SOLUTIONS | Hamilton-Jacobi equation | CORRECTORS
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 09/2016, Volume 261, Issue 5, pp. 2702 - 2737
We prove stochastic homogenization for a general class of coercive, nonconvex Hamilton–Jacobi equations in one space dimension. Some properties of the... 
Nonconvex Hamilton–Jacobi equation | Dynamical properties of effective Hamiltonians | Metric problem | Stochastic homogenization | Nonconvex Hamilton-Jacobi equation | MATHEMATICS | BELLMAN EQUATIONS | MEDIA | Analysis of PDEs | Mathematics
Journal Article
ASYMPTOTIC ANALYSIS, ISSN 0921-7134, 2019, Volume 115, Issue 1-2, pp. 63 - 94
Subdiffusive motion takes place at a much slower timescale than diffusive motion. As a preliminary step to studying reaction-subdiffusion pulled fronts, we... 
renewal equation | MATHEMATICS, APPLIED | WKB approximation | Hamilton-Jacobi equation | Age-structured PDE | CYTOPLASM | DYNAMICS | DIFFUSION | anomalous diffusion | MODEL | AGE | Constraining | Mathematics - Analysis of PDEs
Journal Article
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 05/2019, Volume 125, pp. 119 - 174
In this paper we elucidate the connection between various notions of differentiability in the Wasserstein space: some have been introduced intrinsically (in... 
Hamilton–Jacobi equations in the Wasserstein space | Differentiability in the Wasserstein space | Viscosity solutions | MATHEMATICS | MATHEMATICS, APPLIED | MAPS | Hamilton-Jacobi equations in the Wasserstein space | INFINITE DIMENSIONS
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 02/2016, Volume 307, pp. 423 - 445
Journal Article
Nonlinear Differential Equations and Applications NoDEA, ISSN 1021-9722, 6/2013, Volume 20, Issue 3, pp. 413 - 445
We consider continuous-state and continuous-time control problems where the admissible trajectories of the system are constrained to remain on a network. In... 
Networks | Secondary 34H05 | 35F21 | Analysis | Optimal control | Graphs | Mathematics | Hamilton–Jacobi equations | Primary 35R02 | 35Q93 | 49J15 | Viscosity solutions | Hamilton-Jacobi equations | MATHEMATICS, APPLIED | STATE CONSTRAINTS | BELLMAN EQUATIONS | Analysis of PDEs
Journal Article
Automatica, ISSN 0005-1098, 04/2016, Volume 66, pp. 205 - 217
Journal Article
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