Schauder Type Estimates for “Flat” Viscosity Solutions to Non-convex Fully Nonlinear Parabolic Equations and Applications

João Vítor da Silva; Disson dos Prazeres

doi:10.1007/s11118-017-9677-z

Schauder Type Estimates for “Flat” Viscosity Solutions to Non-convex Fully Nonlinear Parabolic Equations and Applications

Potential Analysis ◽

10.1007/s11118-017-9677-z ◽

2017 ◽

Vol 50 (2) ◽

pp. 149-170 ◽

Cited By ~ 8

Author(s):

João Vítor da Silva ◽

Disson dos Prazeres

Keyword(s):

Viscosity Solutions ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Parabolic

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regularity of viscosity solutions for fully nonlinear parabolic equations

Nonlinear Analysis ◽

10.1016/s0362-546x(98)00149-7 ◽

1999 ◽

Vol 38 (8) ◽

pp. 977-994

Author(s):

Ning Zhu

Keyword(s):

Viscosity Solutions ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Parabolic

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A remark on a vanishing property for viscosity solutions of fully nonlinear parabolic equations

Nonlinear Analysis ◽

10.1016/j.na.2012.11.023 ◽

2013 ◽

Vol 80 ◽

pp. 14-17

Author(s):

Agnid Banerjee

Keyword(s):

Viscosity Solutions ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Parabolic

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The Phragmén-Lindelöf theorem for L-viscosity solutions of fully nonlinear parabolic equations with unbounded ingredients

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2019.05.007 ◽

2020 ◽

Vol 133 ◽

pp. 172-184

Author(s):

Shota Tateyama

Keyword(s):

Viscosity Solutions ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Parabolic ◽

Lindelöf Theorem

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Probabilistic approach to viscosity solutions of the Cauchy problems for systems if fully nonlinear parabolic equations

Journal of Mathematical Sciences ◽

10.1007/s10958-013-1155-6 ◽

2013 ◽

Vol 188 (6) ◽

pp. 655-672 ◽

Cited By ~ 1

Author(s):

Ya. I Belopolskaya ◽

W. A. Woyczynski

Keyword(s):

Viscosity Solutions ◽

Parabolic Equations ◽

Probabilistic Approach ◽

Nonlinear Parabolic Equations ◽

Cauchy Problems ◽

Fully Nonlinear ◽

Nonlinear Parabolic

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Remarks on the strong maximum principle for viscosity solutions to fully nonlinear parabolic equations

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2004.3.395 ◽

2004 ◽

Vol 3 (3) ◽

pp. 395-415 ◽

Cited By ~ 20

Author(s):

Francesca Lio

Keyword(s):

Maximum Principle ◽

Viscosity Solutions ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Strong Maximum Principle ◽

Fully Nonlinear ◽

Nonlinear Parabolic

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Symmetry of viscosity solutions for fully nonlinear parabolic equations

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2015.11.002 ◽

2016 ◽

Vol 29 ◽

pp. 68-79 ◽

Cited By ~ 1

Author(s):

Limei Dai

Keyword(s):

Viscosity Solutions ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Parabolic

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Hölder gradient estimates on $$L^p$$-viscosity solutions of fully nonlinear parabolic equations with VMO coefficients

SN Partial Differential Equations and Applications ◽

10.1007/s42985-021-00133-4 ◽

2021 ◽

Vol 2 (6) ◽

Author(s):

Shota Tateyama

Keyword(s):

Viscosity Solutions ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Gradient Estimates ◽

Fully Nonlinear ◽

Nonlinear Parabolic ◽

Vmo Coefficients

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Local estimates for fully nonlinear parabolic equations in weighted spaces

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7259 ◽

2021 ◽

Author(s):

Mikyoung Lee ◽

Jihoon Ok

Keyword(s):

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Weighted Spaces ◽

Fully Nonlinear ◽

Nonlinear Parabolic

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The first initial-boundary value problem for fully nonlinear parabolic equations generated by functions of the eigenvalues of the Hessian

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.07.076 ◽

2008 ◽

Vol 339 (2) ◽

pp. 1362-1373 ◽

Cited By ~ 1

Author(s):

Changyu Ren

Keyword(s):

Boundary Value Problem ◽

Parabolic Equations ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Nonlinear Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Parabolic ◽

Initial Boundary Value

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Sharp regularity estimates for second order fully nonlinear parabolic equations

Mathematische Annalen ◽

10.1007/s00208-016-1506-y ◽

2016 ◽

Vol 369 (3-4) ◽

pp. 1623-1648 ◽

Cited By ~ 11

Author(s):

João Vitor da Silva ◽

Eduardo V. Teixeira

Keyword(s):

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Second Order ◽

Fully Nonlinear ◽

Regularity Estimates ◽

Nonlinear Parabolic

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