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On the blow-up of sign-changing solutions to semilinear parabolic equations.

Authors :
Pohozaev, S.
Source :
Doklady Mathematics; Apr2010, Vol. 81 Issue 2, p185-187, 3p
Publication Year :
2010

Abstract

The article presents a study concerning the solution to the Cauchy problem for second-order semilinear parabolic equations which is the blow-up. According to the method being presented in the study the nonlinearity of the equation and solutions are not to be assumed as positive. It notes that Cauchy problem is analyzed through nonlinear method which is grounded on optimal test functions. It mentions that the study is backed up by the Program of the Russian Academy of Sciences "Modern Problems in Mathematics," and Russian Foundation for Basic Research.

Details

Language :
English
ISSN :
10645624
Volume :
81
Issue :
2
Database :
Complementary Index
Journal :
Doklady Mathematics
Publication Type :
Academic Journal
Accession number :
49781422
Full Text :
https://doi.org/10.1134/S1064562410020055