Hölder continuity of a bounded weak solution of generalized parabolic p-Laplacian equations

2014/07/02 by Sukjung Hwang, Hwang, Sukjung, Gary M. Lieberman +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Stability and Controllability of Differential Equations #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1407.0531

Abstract

Here we generalize quasilinear parabolic p-Laplacian type equations to obtain the prototype equation as u_t - div (g(|Du|)/ |Du| ⋅ Du) = 0, where a nonnegative, increasing, and continuous function g trapped in between two power functions |Du|^{g₀ -1} and |Du|^{g₁ -1} with 1

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