期刊论文详细信息
Electronic Journal of Differential Equations | |
Decay estimates for solutions of evolutionary damped p-Laplace 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
【 预 览 】
Files | Size | Format | View |
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RO202307120000343ZK.pdf | 326KB | download |