Blow-Up in Nonlinear Equations of Mathematical Physics(English, Electronic book text, Korpusov Maxim Olegovich)

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Blow-Up in Nonlinear Equations of Mathematical Physics(English, Electronic book text, Korpusov Maxim Olegovich) is written by Korpusov Maxim Olegovich and published by De Gruyter. It's available with International Standard Book Number or ISBN identification 3110602075 (ISBN 10) and 9783110602074 (ISBN 13).

The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations of mathematical physics. The included material is based on lectures read by the authors at the Lomonosov Moscow State University, and the book is addressed to a wide range of researchers and graduate students working in nonlinear partial differential equations, nonlinear functional analysis, and mathematical physics. Contents Nonlinear capacity method of S. I. Pokhozhaev Method of self-similar solutions of V. A. Galaktionov Method of test functions in combination with method of nonlinear capacity Energy method of H. A. Levine Energy method of G. Todorova Energy method of S. I. Pokhozhaev Energy method of V. K. Kalantarov and O. A. Ladyzhenskaya Energy method of M. O. Korpusov and A. G. Sveshnikov Nonlinear Schroedinger equation Variational method of L. E. Payne and D. H. Sattinger Breaking of solutions of wave equations Auxiliary and additional results