Blow-Up in Nonlinear Equations of Mathematical Physics
eBook - ePub

Blow-Up in Nonlinear Equations of Mathematical Physics

Theory and Methods

  1. 344 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Blow-Up in Nonlinear Equations of Mathematical Physics

Theory and Methods

About this book

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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Yes, you can access Blow-Up in Nonlinear Equations of Mathematical Physics by Maxim Olegovich Korpusov,Alexey Vital'evich Ovchinnikov,Alexey Georgievich Sveshnikov,Egor Vladislavovich Yushkov in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Title Page
  3. Copyright
  4. Dedication
  5. Contents
  6. Introduction
  7. Notation
  8. List of nonlinear equations
  9. 1 Nonlinear capacity method of S. I. Pokhozhaev
  10. 2 Method of self-similar solutions of V. A. Galaktionov
  11. 3 Method of test functions in combination with method of nonlinear capacity
  12. 4 Energy method of H. A. Levine
  13. 5 Energy method of G. Todorova
  14. 6 Energy method of S. I. Pokhozhaev
  15. 7 Energy method of V. K. Kalantarov and O. A. Ladyzhenskaya
  16. 8 Energy method of M. O. Korpusov and A. G. Sveshnikov
  17. 9 Nonlinear Schrödinger equation
  18. 10 Variational method of L. E. Payne and D. H. Sattinger
  19. 11 Breaking of solutions of wave equations
  20. A Auxiliary and additional results
  21. Bibliography
  22. Index