A note on comparison principles for viscosity solutions of fully nonlinear second order partial differential equations

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1351001216 ◽

1999 ◽

Vol 28 (2) ◽

pp. 315-331 ◽

Author(s):

Dirk HORSTMANN

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Viscosity Solutions ◽

Second Order ◽

Partial Differential ◽

Fully Nonlinear ◽

Comparison Principles

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A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1988-0934877-2 ◽

1988 ◽

Vol 102 (4) ◽

pp. 975-975 ◽

Author(s):

R. Jensen ◽

P.-L. Lions ◽

P. E. Souganidis

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Viscosity Solutions ◽

Nonlinear Partial Differential Equations ◽

Uniqueness Result ◽

Second Order ◽

Partial Differential ◽

Fully Nonlinear

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Viscosity solutions of fully nonlinear second-order elliptic partial differential equations

Journal of Differential Equations ◽

10.1016/0022-0396(90)90068-z ◽

1990 ◽

Vol 83 (1) ◽

pp. 26-78 ◽

Author(s):

H Ishii ◽

P.L Lions

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Viscosity Solutions ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Partial Differential ◽

Fully Nonlinear

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The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00281780 ◽

1988 ◽

Vol 101 (1) ◽

pp. 1-27 ◽

Author(s):

Robert Jensen

Keyword(s):

Partial Differential Equations ◽

Maximum Principle ◽

Differential Equations ◽

Viscosity Solutions ◽

Second Order ◽

Partial Differential ◽

Fully Nonlinear ◽

The Maximum Principle

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Viscosity solutions of nonlinear second-order partial differential equations in hilbert spaces

Communications in Partial Differential Equations ◽

10.1080/03605309308820943 ◽

1993 ◽

Vol 18 (3-4) ◽

pp. 601-650 ◽

Author(s):

Hitoshi Ishii

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Viscosity Solutions ◽

Hilbert Spaces ◽

Second Order ◽

Partial Differential

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Approximation Schemes for Viscosity Solutions of Fully Nonlinear Stochastic Partial Differential Equations

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications ENUMATH 2019 ◽

10.1007/978-3-030-55874-1_86 ◽

2020 ◽

pp. 871-879

Author(s):

Benjamin Seeger

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Viscosity Solutions ◽

Stochastic Partial Differential Equations ◽

Approximation Schemes ◽

Partial Differential ◽

Fully Nonlinear

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Viscosity solutions of second order integral–partial differential equations without monotonicity condition: A new result

Nonlinear Analysis ◽

10.1016/j.na.2016.09.006 ◽

2016 ◽

Vol 147 ◽

pp. 213-235 ◽

Author(s):

Said Hamadène

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Viscosity Solutions ◽

Second Order ◽

Monotonicity Condition ◽

Partial Differential

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Viscosity solutions to second order partial differential equations on Riemannian manifolds

Journal of Differential Equations ◽

10.1016/j.jde.2008.03.030 ◽

2008 ◽

Vol 245 (2) ◽

pp. 307-336 ◽

Author(s):

Daniel Azagra ◽

Juan Ferrera ◽

Beatriz Sanz

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Viscosity Solutions ◽

Riemannian Manifolds ◽

Second Order ◽

Partial Differential

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Pathwise Solutions for Fully Nonlinear First- and Second-Order Partial Differential Equations with Multiplicative Rough Time Dependence

Lecture Notes in Mathematics - Singular Random Dynamics ◽

10.1007/978-3-030-29545-5_3 ◽

2019 ◽

pp. 75-220 ◽

Author(s):

Panagiotis E. Souganidis

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Time Dependence ◽

Second Order ◽

Partial Differential ◽

Fully Nonlinear ◽

Pathwise Solutions

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Viscosity solutions of fully nonlinear elliptic path dependent partial differential equations

The Annals of Applied Probability ◽

10.1214/16-aap1178 ◽

2016 ◽

Vol 26 (6) ◽

pp. 3381-3414 ◽

Author(s):

Zhenjie Ren

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Viscosity Solutions ◽

Partial Differential ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

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user's guide to viscosity solutions\\ of second order\\ partial differential equations

Bulletin of the American Mathematical Society ◽

10.1090/s0273-0979-1992-00266-5 ◽

1992 ◽

Vol 27 (1) ◽

pp. 1-68 ◽

Cited By ~ 2214

Author(s):

Michael G. Crandall ◽

Hitoshi Ishii ◽

Pierre-Louis Lions

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Viscosity Solutions ◽

Second Order ◽

Partial Differential

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