Decay estimates for solutions of evolutionary damped p-Laplace equations

Electronic Journal of Differential Equations

article

Farid Bozorgnia¹  Peter Lewintan² 

[1] CAMGSD, Instituto Superior Técnico University of Lisbon Av. Rovisco Pais 1049-001 Lisbon;Faculty of Mathematics University of Duisburg-Essen Thea-Leymann-Str. 9

关键词: p-Laplace;    telegraph equation;    asymptotic behavior;    convexity.;   

DOI  :  10.58997/ejde.2021.73

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

In this note, we study the asymptotic behavior, as t tends to infinity,of the solution u to the evolutionary damped p-Laplace equationwith Dirichlet boundary conditions. Let u* denote the stationary solution withsame boundary values, then we prove the W1,p-norm of u(t) - u* decaysfor large t like t-1/((p-1)p)2.

【 授权许可】

CC BY