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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 167, Number 2, Pages 206–213
DOI: https://doi.org/10.4213/tmf6634 (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
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DOI: https://doi.org/10.4213/tmf6634
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.
Received: 12.10.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 167, Issue 2, Pages 577–583
DOI: https://doi.org/10.1007/s11232-011-0043-9
Bibliographic databases:
Document Type: Article
Language: Russian
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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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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