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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2001 Volume 232, Pages 248–267 (Mi tm217)
This article is cited in 27 papers

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

E. Mitidieria, S. I. Pohozaevb

a Dipartimento di Scienze Matematiche, Università degli Studi di Trieste, Via A. Valerio 12/1, 34127, Trieste, Italia
b Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: 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.

UDC: 517

Received in August 2000


 English version: Proceedings of the Steklov Institute of Mathematics, 2001, 232, 240–259

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