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Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, Issue 11, Pages 43–53 (Mi vyuru45)  

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modelling

The Destruction of the Solution of the Nonlocal Equation with Gradient Nonlinearity

M. O. Korpusov

Lomonosov Moscow State University (Moscow, Russian Federation)

Abstract: In this paper we continue our consideration of equations with gradient nonlinearities. In this paper, we consider initial-boundary value problem in a bounded domain with smooth boundary for non-local in time equation with gradient nonlinearity and prove the local solvability of the strong generalized sense, in addition, we obtain sufficient conditions for the destruction of a finite time and sufficient conditions for global in time solubility.

Keywords: nonlocal equation with gradient nonlinearity, Sobolev type equations, the destruction of the solutions.

Full text: PDF file (7166 kB)
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UDC: 517.957
Received: 11.11.2011

Citation: M. O. Korpusov, “The Destruction of the Solution of the Nonlocal Equation with Gradient Nonlinearity”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 11, 43–53

Citation in format AMSBIB
\Bibitem{Kor12}
\by M.~O.~Korpusov
\paper The Destruction of the Solution of the Nonlocal Equation with Gradient Nonlinearity
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2012
\issue 11
\pages 43--53
\mathnet{http://mi.mathnet.ru/vyuru45}


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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. A. A. Kon'kov, “Blow-up of solutions for a class of nondivergence elliptic inequalities”, Comput. Math. Math. Phys., 57:3 (2017), 453–463  mathnet  crossref  crossref  isi  elib
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