Pohozaev, Stanislav I.; Tesei, Alberto

Instantaneous blow-up of solutions to a class of hyperbolic inequalities

Electron. J. Differ. Equ. 2002, 155-165, electronic only (2002)


Summary: We prove instantaneous blow-up of nonnegative solutions for a class of semilinear hyperbolic inequalities with first order terms and singular coefficients. The present approach relies on a suitable choice of the functions used to test the differential inequalities.

Mathematics Subject Classification

35L15, 35L70, 35A70


hyperbolic inequalities, instantaneous blow-up, nonnegative solutions, singular coefficients