Blow-Up in Nonlinear Equations of Mathematical Physics

Theory and Methods
1. Auflage 2018
ISBN: 978-3-11-060108-4
Verlag: De Gruyter

Buch, Englisch, Band 27, 326 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 770 g

Reihe: De Gruyter Series in Nonlinear Analysis and Applications

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

Zielgruppe

Reseachers and graduate students in partial differential equation

Autoren/Hrsg.

Korpusov, Maxim Olegovich

Yushkov, Egor Vladislavovich

Ovchinnikov, Alexey Vital'evich

Sveshnikov, Alexey Georgievich

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Nichtlineare Wissenschaft
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Über Autor(innen)

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