Gradient blow-up solution with small initial datum for a Hamilton–Jacobi equation with degenerate diffusion

Author:

Wang Zhiyong,Yin Jingxue

Funder

NSFC

Foundation of the Science and Technology Department of Fujian Province

Foundation of the Education Department of Fujian Province

Fujian Normal University

NSF of Guangzhou

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference22 articles.

1. Blow up for a diffusion–advection equation;Alikakos;Proc. Roy. Soc. Edinburgh Sect. A,1989

2. Local existence and uniqueness of solutions of degenerate parabolic equations;Anderson;Comm. Partial Differential Equations,1991

3. Boundedness of global solutions for nonlinear parabolic equations involving gradient blow-up phenomena;Arrieta;Ann. Sc. Norm. Super. Pisa Cl. Sci. (5),2004

4. Well-posedness and gradient blow-up estimate near the boundary for a Hamilton–Jacobi equation with degenerate diffusion;Attouchi;J. Differential Equations,2012

5. Boundedness of global solutions of a p-Laplacian evolution equation with a nonlinear gradient term;Attouchi;Asymptot. Anal.,2015

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