Nonexistence of global solutions to a class of nonlinear differential inequalities and application to hyperbolic-elliptic problems

• Autorzy: Alaa N. , Guedda M.
• Języki publikacji: EN

Abstrakty

EN

We consider the problem [wzór] posed in Ω x (0,+∞). Here Ω ⊂ Rn is a an open smooth bounded domain and φ is like [wzór] and ε = š1. We prove, in certain conditions on f and φ that there is absence of global solutions. The method of proof relies on a simple analysis of the ordinary inequality of the type w'' + δw' ≥ αw + βwp. It is also shown that a global positive solution, when it exists, must decay at least exponentially.

Słowa kluczowe

EN

nonlinear differential inequalities; hyperbollic and elliptic problems; blow-up; asymptotic behavior of solutions

PL

nieliniowe różniczkowe nierówności; hiperboliczne i eliptyczne problemy; wybuchnąć; zachowanie asymptotyczne rozwiązań

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2003
• Tom: Vol. 9, nr 1
• Strony: 103--121
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Alaa N.

• Faculte Des Sciences Et Techniques Universite Cadi Ayyad BP 618 Marrakech Maroc

autor

Guedda M.

• Lamfa, CNRS UMR 6140 Universite de Picardie Jules Verne Faculte de Mathematiques et d’Informatique 33, rue Saint-Leu 80039, Amiens, France

Bibliografia

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