Continuity estimates for doubly degenerate parabolic equations with lower order terms via nonlinear potentials

2023/09/01 by Qifan Li, Li, Qifan
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2309.00441

openalex publication_date 2023/09/01 · openalex created_date 2023/09/05 · openalex updated_date 2026/07/28

Abstract

This article studies the continuity of bounded nonnegative weak solutions to inhomogeneous doubly nonlinear parabolic equations. A model equation is ∂_t u-div(u^m-1|Du|^p-2Du)=f in Ω×(-T,0)⊂ ℝⁿ⁺¹. Here, we consider the case m>1 and 2

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