Young measure solutions for a fourth-order wave equation with variable growth

Boundary value problems

Mingqi Xiang¹ 

[1] College of Science, Civil Aviation University of China, Tianjin, P.R. China

关键词: nonlinear wave equation;    Young measure solution: variable exponent space;    nonlinear elastodynamics;    Galerkin’s approximation;    asymptotic stability;    35L35;    35B40;    35D99;   

DOI  :  10.1186/s13661-015-0386-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the existence of Young measure solutions to a fourth-order wave equation with variable exponent nonlinearity on a bounded domain. The asymptotic behavior of the Young measure solutions is also investigated by applying a lemma developed by Nakao.

【 授权许可】

CC BY