Nonexistence of global solutions of a delayed wave equation with variable-exponents

Miskolc Mathematical Notes

article

Erhan Piskin¹  Hazal Yüksekkaya¹ 

[1] Dicle University, Department of Mathematics

关键词: blow up;    existence;    Petrovsky equation;    delay term;    variable exponent;   

DOI  :  10.18514/MMN.2021.3487

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

This work deals with a Petrovsky equation with delay term and variable exponents. Firstly, we establish the local existence result by the Faedo-Galerkin method. Later, we prove the blow-up of solutions in a finite time. Our results are more general than the earlier results.

【 授权许可】

CC BY