Electronic Journal of Differential Equations,
Conference 08 (2002), pp. 155--165. 

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

Authors: Stanislav I. Pohozaev (Univ. di Roma, Roma, Italy)
  Alberto Tesei (Univ. di Roma, Roma, Italy)
 
Abstract: 
 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.

Published October 21, 2002.
Math Subject Classifications: 35L15, 35L70, 35A70.
Key Words: Hyperbolic  inequalities; instantaneous blow-up; nonnegative solutions; singular coefficients.