Second Order Parabolic Differential Equations

1996/11/01 by Gary M. Lieberman · 10 citations
Mathematics · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Order (exchange) #Mathematics #Applied mathematics #Mathematical analysis #Parabolic partial differential equation #Differential equation #Economics

paper · doi:10.1142/3302

openalex publication_date 1996/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

Maximum principles introduction to the theory of weak solutions Holder estimates existence, uniqueness and regularity of solutions further theory of weak solutions strong solutions fixed point theorems and their applications comparison and maximum principles boundary gradient estimates global and local gradient bounds Holder gradient estimates and existence theorems the oblique derivative problem for quasilinear parabolic equations fully nonlinear equations I - introduction fully nonlinear equations II - Monge-Ampere and Hessian equations.

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