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On sufficient conditions of blowing‐up of solution of initial‐boundary‐value problem for strongly nonlinear Sobolev type equation
Author(s) -
Korpusov M.O.
Publication year - 2010
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200900405
Subject(s) - sobolev space , blowing up , mathematics , boundary value problem , type (biology) , mathematical analysis , nonlinear system , initial value problem , physics , ecology , quantum mechanics , biology
We consider the initial‐boundary‐value problem for the N‐dimensional, Sobolev‐type equation with source. Under some conditions, the theorems on blowup of solutions at finite time of this problem are obtained. Twosided estimates for blowing‐up time are derived.