Description

Book Synopsis

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

Blow-Up in Nonlinear Equations of Mathematical Physics: Theory and Methods

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    A Hardback by Maxim Olegovich Korpusov, Alexey Vital'evich Ovchinnikov, Alexey Georgievich Sveshnikov

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      Book details

      Publisher De Gruyter
      Published 6 August 2018
      ISBN-13 9783110601084
      978-3110601084
      Also in:
      Differential calculus and equations Mathematical / Computational / Theoretical physics

      Description

      Book Synopsis

      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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