Pohozaev, Stanislav I.; Tesei, Alberto Instantaneous blow-up of solutions to a class of hyperbolic inequalities. (English) Zbl 1024.35081 Electron. J. Differ. Equ. 2002, Conf. 08, 155-165 (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. Cited in 6 Documents MSC: 35L70 Second-order nonlinear hyperbolic equations 35R45 Partial differential inequalities and systems of partial differential inequalities 35L15 Initial value problems for second-order hyperbolic equations 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs Keywords:nonnegative solutions; singular coefficients PDFBibTeX XMLCite \textit{S. I. Pohozaev} and \textit{A. Tesei}, Electron. J. Differ. Equ. 2002, 155--165 (2002; Zbl 1024.35081) Full Text: EuDML EMIS