Nonexistence of Weak Solutions for Some Degenerate and Singular Hyperbolic Problems on $\mathbb R_+^{n+1}$

E. Mitidieri ; S. I. Pohozaev

Informatics and Automation, Function spaces, harmonic analysis, and differential equations, Tome 232 (2001), pp. 248-267.

Résumé

Theorems concerning the absence of weak solutions are proved for a wide class of evolution equations and inequalities. This class includes, in particular, the inequalities with degenerate and singular operators of hyperbolic type.

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