Nonexistence of solutions for quasilinear hyperbolic inequalities

Journal of inequalities and applications

Zhong Bo Fang¹  Suping Xiao² 

[1] School of Mathematical Sciences, Ocean University of China, 266100, Qingdao, P.R. China;School of Mathematical and Computer Science, Shanxi Normal University, 041004, Linfen, Shanxi, P.R. China;

关键词: Quasilinear hyperbolic inequality;    Nonlocal singular source;    Test function;    Nonexistence;    35L72;    35L15;    35B53;   

DOI  :  10.1186/s13660-021-02685-w

来源: Springer

【 摘 要 】

In this paper, we study the Cauchy problems for quasilinear hyperbolic inequalities with nonlocal singular source term and prove the nonexistence of global weak solutions in the homogeneous and nonhomogeneous cases by the test function method.

【 授权许可】

CC BY