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 Tr. Mat. Inst. Steklova, 2001, Volume 232, Pages 248–267 (Mi tm217)

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.

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

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Document Type: Article
UDC: 517

Citation: E. Mitidieri, S. I. Pohozaev, “Nonexistence of Weak Solutions for Some Degenerate and Singular Hyperbolic Problems on $\mathbb R_+^{n+1}$”, Function spaces, harmonic analysis, and differential equations, Collected papers. Dedicated to the 95th anniversary of academician Sergei Mikhailovich Nikol'skii, Tr. Mat. Inst. Steklova, 232, Nauka, MAIK «Nauka/Inteperiodika», M., 2001, 248–267; Proc. Steklov Inst. Math., 232 (2001), 240–259

Citation in format AMSBIB
\Bibitem{MitPok01} \by E.~Mitidieri, S.~I.~Pohozaev \paper Nonexistence of Weak Solutions for Some Degenerate and Singular Hyperbolic Problems on $\mathbb R_+^{n+1}$ \inbook Function spaces, harmonic analysis, and differential equations \bookinfo Collected papers. Dedicated to the 95th anniversary of academician Sergei Mikhailovich Nikol'skii \serial Tr. Mat. Inst. Steklova \yr 2001 \vol 232 \pages 248--267 \publ Nauka, MAIK «Nauka/Inteperiodika» \publaddr M. \mathnet{http://mi.mathnet.ru/tm217} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1851453} \zmath{https://zbmath.org/?q=an:1032.35138} \transl \jour Proc. Steklov Inst. Math. \yr 2001 \vol 232 \pages 240--259 

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