L ∞ $L^{\infty }$ decay estimates of solutions of nonlinear parabolic equation

Boundary Value Problems

Hui Wang¹  Caisheng Chen² 

[1] College of Mathematics and Statistics, Ili Normal University;College of Sciences, Hohai University;

关键词: Doubly nonlinear equation;    Degenerate evolution m-Laplacian equation;    L ∞ $L^{\infty }$ decay estimates of solution;   

DOI  :  10.1186/s13661-020-01480-8

来源: DOAJ

【 摘 要 】

Abstract In this paper, we are interested in L ∞ $L^{\infty }$ decay estimates of weak solutions for the doubly nonlinear parabolic equation and the degenerate evolution m-Laplacian equation not in the divergence form. By a modified Moser’s technique we obtain L ∞ $L^{\infty }$ decay estimates of weak solutiona.

【 授权许可】

Unknown