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Nonexistence of local solutions to semilinear partial differential inequalities

Stanislav I Pohozaev; Alberto Tesei — 2004

Annales de l'I.H.P. Analyse non linéaire

Blow-up of nonnegative solutions to quasilinear parabolic inequalities

Stanislav I. Pohozaev; Alberto Tesei — 2000

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We investigate critical exponents for blow-up of nonnegative solutions to a class of parabolic inequalities. The proofs make use of a priori estimates of solutions combined with a simple scaling argument.

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

Pohozaev, Stanislav I.; Tesei, Alberto — 2002

Electronic Journal of Differential Equations (EJDE) [electronic only]

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