On existence and uniqueness of viscosity solutions for second order fully nonlinear PDEs with Caputo time fractional derivatives

Tokinaga Namba

doi:10.1007/s00030-018-0513-y

On existence and uniqueness of viscosity solutions for second order fully nonlinear PDEs with Caputo time fractional derivatives

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-018-0513-y ◽

2018 ◽

Vol 25 (3) ◽

Cited By ~ 3

Author(s):

Tokinaga Namba

Keyword(s):

Viscosity Solutions ◽

Existence And Uniqueness ◽

Fractional Derivatives ◽

Second Order ◽

Nonlinear Pdes ◽

Fully Nonlinear ◽

Fully Nonlinear Pdes

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Second Order Backward SDEs, Fully Nonlinear PDEs, and Applications in Finance

Proceedings of the International Congress of Mathematicians 2010 (ICM 2010) ◽

10.1142/9789814324359_0183 ◽

2011 ◽

Author(s):

Nizar Touzi

Keyword(s):

Second Order ◽

Nonlinear Pdes ◽

Fully Nonlinear ◽

Fully Nonlinear Pdes ◽

Backward Sdes

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Uniqueness of viscosity solutions for monotone systems of fully nonlinear PDES under Dirichlet condition

Nonlinear Analysis ◽

10.1016/0362-546x(94)90172-4 ◽

1994 ◽

Vol 22 (4) ◽

pp. 519-532 ◽

Cited By ~ 3

Author(s):

Shigeaki Koike

Keyword(s):

Viscosity Solutions ◽

Dirichlet Condition ◽

Nonlinear Pdes ◽

Monotone Systems ◽

Fully Nonlinear ◽

Fully Nonlinear Pdes

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Neural networks-based backward scheme for fully nonlinear PDEs

SN Partial Differential Equations and Applications ◽

10.1007/s42985-020-00062-8 ◽

2021 ◽

Vol 2 (1) ◽

Author(s):

Huyên Pham ◽

Xavier Warin ◽

Maximilien Germain

Keyword(s):

Neural Networks ◽

Nonlinear Pdes ◽

Fully Nonlinear ◽

Fully Nonlinear Pdes

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Existence and uniqueness of global strong solutions to fully nonlinear second order elliptic systems

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-016-0381-2 ◽

2016 ◽

Vol 23 (3) ◽

Cited By ~ 2

Author(s):

Nikos Katzourakis

Keyword(s):

Existence And Uniqueness ◽

Elliptic Systems ◽

Strong Solutions ◽

Second Order ◽

Fully Nonlinear ◽

Global Strong Solutions

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Curvature Measures, Isoperimetric Type Inequalities and Fully Nonlinear PDEs

Lecture Notes in Mathematics - Fully Nonlinear PDEs in Real and Complex Geometry and Optics ◽

10.1007/978-3-319-00942-1_2 ◽

2013 ◽

pp. 47-94 ◽

Cited By ~ 2

Author(s):

Pengfei Guan

Keyword(s):

Nonlinear Pdes ◽

Fully Nonlinear ◽

Fully Nonlinear Pdes ◽

Curvature Measures

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Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group

Nonlinear Analysis ◽

10.1016/j.na.2020.112013 ◽

2020 ◽

Vol 200 ◽

pp. 112013 ◽

Cited By ~ 2

Author(s):

Alessandro Goffi

Keyword(s):

Heisenberg Group ◽

Nonlinear Pdes ◽

Liouville Type ◽

Fully Nonlinear ◽

Fully Nonlinear Pdes ◽

Liouville Type Results

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Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. III. Uniqueness of viscosity solutions for general second-order equations

Journal of Functional Analysis ◽

10.1016/0022-1236(89)90062-1 ◽

1989 ◽

Vol 86 (1) ◽

pp. 1-18 ◽

Cited By ~ 46

Author(s):

P.L Lions

Keyword(s):

Stochastic Control ◽

Viscosity Solutions ◽

Second Order ◽

Optimal Stochastic Control ◽

Infinite Dimensions ◽

Fully Nonlinear ◽

Second Order Equations

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Viscosity solutions of fully nonlinear second order parabolic equations with $L^1$ dependence in time and Neumann boundary conditions

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2008.21.763 ◽

2008 ◽

Vol 21 (3) ◽

pp. 763-800 ◽

Cited By ~ 9

Author(s):

Mariane Bourgoing ◽

Keyword(s):

Boundary Conditions ◽

Viscosity Solutions ◽

Parabolic Equations ◽

Neumann Boundary ◽

Second Order ◽

Neumann Boundary Conditions ◽

Fully Nonlinear

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On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160420103 ◽

1989 ◽

Vol 42 (1) ◽

pp. 15-45 ◽

Cited By ~ 146

Author(s):

Hitoshi Ishii

Keyword(s):

Viscosity Solutions ◽

Second Order ◽

Fully Nonlinear ◽

Uniqueness And Existence

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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 ◽

Cited By ~ 55

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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