Nonexistence of solutions for quasilinear hyperbolic inequalities

Abstract

Abstract 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.

Keywords

• Quasilinear hyperbolic inequality
• Nonlocal singular source
• Test function
• Nonexistence