On the regularity theory of fully nonlinear parabolic equations

DOI10.1090/S0273-0979-1990-15854-9zbMath0704.35025OpenAlexW2059118857MaRDI QIDQ5899880

Lihe Wang

Publication date: 1990

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1990-15854-9

zbMATH Keywords

compactnessviscosity solutionsbarriersfully nonlinearHölder continuousHarnackAleksandrov-Bakel'man-Pucci type maximum principle

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45)

Related Items (8)

Smooth approximations of the conical Kähler-Ricci flows ⋮ Lorentz estimates for fully nonlinear parabolic and elliptic equations ⋮ The differentiability of solutions for elliptic equations which degenerate on part of the boundary of a convex domain ⋮ On parabolic partial differential equations with Hölder continuous diffusion coefficients ⋮ Blow-up and global existence profile of a class of fully nonlinear degenerate parabolic equations ⋮ On the long time behaviour of the conical Kähler-Ricci flows ⋮ Strong solutions of a class of fully nonlinear degenerate parabolic equations ⋮ On fully nonlinear elliptic and parabolic equations with VMO coefficients in domains

Cites Work

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• Interior a priori estimates for solutions of fully nonlinear equations
• The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
• Operatori ellittice estremanti
• On an Aleksandrov-Bakel'Man Type Maximum Principle for Second-Order Parabolic Equations
• The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
• Viscosity Solutions of Hamilton-Jacobi Equations
• SOME NEW RESULTS IN THE THEORY OF CONTROLLED DIFFUSION PROCESSES
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• A harnack inequality for parabolic differential equations

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