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

Blow-Up in Nonlinear Equations of Mathematical Physics

Theory and Methods

Series:De Gruyter Series in Nonlinear Analysis and Applications 27

    103,95 € / $119.99 / £94.50*

    Publication Date:
    August 2018
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    • A unified presentation of theories and methods on the blow-up phenomenon in partial differential equations
    • Includes several applications to equations in mathematical physics
    • Of interest to researchers and graduate students alike

    Aims and Scope

    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.

    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


    24.0 x 17.0 cm
    xviii, 326 pages
    Type of Publication:

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    M. O. Korpusov, A. V. Ovchinnikov, A. G. Sveshnikov and E. V. Yushkov, Lomonosov Moscow State University, Russia.

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