2001-Luminy conference on Quasilinear Elliptic and Parabolic Equations and Systems
Electron. J. Diff. Eqns., Conf. 08, 2002, pp. 155--165.

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

Stanislav I. Pohozaev & Alberto Tesei

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.

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Stanislav I. Pohozaev
Steklov Mathematical Institute, Russian Academy of Sciences,
Gubkina 8, 117966 Moscow, Russia
e-mail: pohozaev@mi.ras.ru

Alberto Tesei
Dipartimento di Matematica "G. Castelnuovo",
Universit\`a di Roma ``La Sapienza'', P.le A. Moro 5,
I-00185 Roma, Italia
e-mail: tesei@mat.uniroma1.it

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