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Conference publications

Abstracts

XXI conference

Blow-up Situation for Some Partial Differential Inequalities

Galakhov E.I., Salieva O.A.1

PFUR, Russia, 117198, Moscow, ul. Miklukho-Maklaya, 6, galakhov@rambler.ru

1MGTU "Stankin", Moscow, 127994, Vadkovsky per., 1, olga.a.salieva@gmail.com

1 pp. (accepted)

Infinite growth of a solution to a differential equation or inequality near finite values of the independent variables is called a blow-up situation [1]. The authors of the present talk establish sufficient conditions for occurrence of a blow-up situation for several classes of nonlinear partial differential inequalities that have singular coefficients on unbounded sets.

Literature

1. Mitidieri E., Pohozaev S.I. A priori estimates and nonexistence of solutions of partial differential equations and inequalities// Proceedings of the Steklov Institute of Mathematics 234, 2001. P. 1-383.



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