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Blow-Up in Nonlinear Equations of Mathematical Physics

Theory and Methods

By: Maxim Olegovich Korpusov,Alexey Vital'evich Ovchinnikov,Alexey Georgievich Sveshnikov,Egor Vladislavovich Yushkov

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Blow-Up in Nonlinear Equations of Mathematical Physics

Theory and Methods

By: Maxim Olegovich Korpusov,Alexey Vital'evich Ovchinnikov,Alexey Georgievich Sveshnikov,Egor Vladislavovich Yushkov

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 Schrödinger equation Variational method of L. E. Payne and D. H. Sattinger Breaking of solutions of wave equations Auxiliary and additional results

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Page Count

489

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110599007

ISBN 13

9783110599008

Blow-Up in Nonlinear Equations of Mathematical Physics

Theory and Methods

By: Maxim Olegovich Korpusov,Alexey Vital'evich Ovchinnikov,Alexey Georgievich Sveshnikov,Egor Vladislavovich Yushkov

Write a review Read reviews Take a Quiz Solve Book Puzzle

Blow-Up in Nonlinear Equations of Mathematical Physics

Theory and Methods

By: Maxim Olegovich Korpusov,Alexey Vital'evich Ovchinnikov,Alexey Georgievich Sveshnikov,Egor Vladislavovich Yushkov

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 Schrödinger equation Variational method of L. E. Payne and D. H. Sattinger Breaking of solutions of wave equations Auxiliary and additional results

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Page Count

348

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110602075

ISBN 13

9783110602074