Book Review: Sobolev and viscosity solutions for fully nonlinear elliptic and parabolic equations

Bulletin of the American Mathematical Society ◽

10.1090/bull/1735 ◽

2021 ◽

pp. 1

Author(s):

Denis Talay

Keyword(s):

Viscosity Solutions ◽

Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Elliptic And Parabolic Equations

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Viscosity Solutions of Fully Nonlinear Elliptic and Parabolic Equations

Partial Differential Equations in China ◽

10.1007/978-94-011-1198-0_4 ◽

1994 ◽

pp. 42-49

Author(s):

Guangcang Dong ◽

Baojun Bian

Keyword(s):

Viscosity Solutions ◽

Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Elliptic And Parabolic Equations

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Sobolev and Viscosity Solutions for Fully Nonlinear Elliptic and Parabolic Equations

10.1090/surv/233 ◽

2018 ◽

Author(s):

N. Krylov

Keyword(s):

Viscosity Solutions ◽

Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Elliptic And Parabolic Equations

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$ W^{2, p} $-regularity for asymptotically regular fully nonlinear elliptic and parabolic equations with oblique boundary values

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2021080 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Junjie Zhang ◽

Shenzhou Zheng ◽

Chunyan Zuo

Keyword(s):

Parabolic Equations ◽

Boundary Values ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Elliptic And Parabolic Equations ◽

Oblique Boundary ◽

Asymptotically Regular

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Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-019-1591-3 ◽

2019 ◽

Vol 58 (4) ◽

Author(s):

Hongjie Dong ◽

N. V. Krylov

Keyword(s):

Sobolev Spaces ◽

Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Elliptic And Parabolic Equations

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On fully nonlinear elliptic and parabolic equations with VMO coefficients in domains

St Petersburg Mathematical Journal ◽

10.1090/s1061-0022-2012-01231-8 ◽

2012 ◽

Vol 24 (1) ◽

pp. 39-69 ◽

Author(s):

Hongjie Dong ◽

N. V. Krylov ◽

Xu Li

Keyword(s):

Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Elliptic And Parabolic Equations ◽

Vmo Coefficients

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Elements of the 𝐶^{2+𝛼}-theory of fully nonlinear elliptic and parabolic equations

Mathematical Surveys and Monographs - Sobolev and Viscosity Solutions for Fully Nonlinear Elliptic and Parabolic Equations ◽

10.1090/surv/233/13 ◽

2018 ◽

pp. 271-310

Keyword(s):

Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Elliptic And Parabolic Equations

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Local Discontinuous Galerkin Methods for One-Dimensional Second Order Fully Nonlinear Elliptic and Parabolic Equations

Journal of Scientific Computing ◽

10.1007/s10915-013-9763-3 ◽

2013 ◽

Vol 59 (1) ◽

pp. 129-157 ◽

Author(s):

Xiaobing Feng ◽

Thomas Lewis

Keyword(s):

Discontinuous Galerkin ◽

Parabolic Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Fully Nonlinear ◽

One Dimensional ◽

Local Discontinuous Galerkin ◽

Nonlinear Elliptic ◽

Local Discontinuous Galerkin Methods ◽

Elliptic And Parabolic Equations

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RECENT DEVELOPMENTS ON MAXIMUM PRINCIPLE FOR Lp-VISCOSITY SOLUTIONS OF FULLY NONLINEAR ELLIPTIC/PARABOLIC PDES

Recent Progress on Reaction-Diffusion Systems and Viscosity Solutions ◽

10.1142/9789812834744_0007 ◽

2009 ◽

Author(s):

SHIGEAKI KOIKE

Keyword(s):

Maximum Principle ◽

Viscosity Solutions ◽

Parabolic Pdes ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Recent Developments

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The measurable viscosity solutions for fully nonlinear elliptic equations

Nonlinear Analysis ◽

10.1016/s0362-546x(97)00549-x ◽

1998 ◽

Vol 33 (4) ◽

pp. 401-412 ◽

Author(s):

Guangchang Dong ◽

Chunlai Mu

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Nonlinear Elliptic Equations ◽

Fully Nonlinear Elliptic Equations ◽

Fully Nonlinear ◽

Nonlinear Elliptic

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SOME QUESTIONS IN THE THEORY OF NONLINEAR ELLIPTIC AND PARABOLIC EQUATIONS

Mathematics of the USSR-Sbornik ◽

10.1070/sm1974v023n02abeh002179 ◽

1974 ◽

Vol 23 (2) ◽

pp. 287-318

Author(s):

M I Višik ◽

A V Fursikov

Keyword(s):

Parabolic Equations ◽

Nonlinear Elliptic ◽

Elliptic And Parabolic Equations

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