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TMF, 2011, Volume 167, Number 2, Pages 206–213 (Mi tmf6634)  
This article is cited in 2 scientific papers (total in 2 papers)

Destruction of solutions of wave equations in systems with distributed parameters

M. O. Korpusov

Lomonosov Moscow State University, Moscow, Russia

Abstract: We consider two initial boundary value problems on an interval with homogeneous Dirichlet conditions. These problems were proposed by M. I. Rabinovich and D. I. Trubetskov and are given by nonlinear fourth-order Sobolev-type equations. We prove the local-in-time existence of a strong generalized solution of one problem, and for both problems, we obtain sufficient conditions for the destruction of their strong generalized solutions in a finite time.

Keywords: destruction, nonlinear analysis

DOI: https://doi.org/10.4213/tmf6634

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English version:
Theoretical and Mathematical Physics, 2011, 167:2, 577–583

Bibliographic databases:

Received: 12.10.2010

Citation: M. O. Korpusov, “Destruction of solutions of wave equations in systems with distributed parameters”, TMF, 167:2 (2011), 206–213; Theoret. and Math. Phys., 167:2 (2011), 577–583

Citation in format AMSBIB
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\by M.~O.~Korpusov
\paper Destruction of solutions of wave equations in systems with distributed parameters
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\vol 167
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\pages 206--213
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\jour Theoret. and Math. Phys.
\yr 2011
\vol 167
\issue 2
\pages 577--583
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. M. O. Korpusov, E. A. Ovsyannikov, “Blow-up instability in non-linear wave models with distributed parameters”, Izv. Math., 84:3 (2020), 449–501  mathnet  crossref  crossref  isi  elib
    2. M. O. Korpusov, “Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive source”, Izv. Math., 84:5 (2020), 930–959  mathnet  crossref  crossref  isi
    		• Теоретическая и математическая физика Theoretical and Mathematical Physics
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