Blow-up in nonlinear equations of mathematical physics : theory and methods / Maxim Olegovich Korpusov [and three others].

Format:

Book

Author/Creator:

Korpusov, M. O., author.

Ovchinnikov, Alexey Vital'evich, author.

Sveshnikov, Alexey Georgievich, author.

Yushkov, Egor Vladislavovich, author.

Series:

De Gruyter series in nonlinear analysis and applications ; Volume 27.

De Gruyter series in nonlinear analysis and applications ; Volume 27

Language:

English

Subjects (All):

Differential equations, Partial--Numerical solutions.

Differential equations, Partial.

Physical Description:

1 online resource (348 pages).

Place of Publication:

Berlin ; Boston : De Gruyter, 2018.

Language Note:

In English.

Summary:

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. ContentsNonlinear capacity method of S. I. PokhozhaevMethod of self-similar solutions of V. A. GalaktionovMethod of test functions in combination with method of nonlinear capacityEnergy method of H. A. LevineEnergy method of G. TodorovaEnergy method of S. I. PokhozhaevEnergy method of V. K. Kalantarov and O. A. LadyzhenskayaEnergy method of M. O. Korpusov and A. G. SveshnikovNonlinear Schrödinger equationVariational method of L. E. Payne and D. H. SattingerBreaking of solutions of wave equationsAuxiliary and additional results

Contents:

Frontmatter

Contents

Introduction

Notation

List Of Nonlinear Equations

1. Nonlinear Capacity Method Of S. I. Pokhozhaev

2. Method Of Self-Similar Solutions Of V. A. Galaktionov

3. Method Of Test Functions In Combination With Method Of Nonlinear Capacity

4. Energy Method Of H. A. Levine

5. Energy Method Of G. Todorova

6. Energy Method Of S. I. Pokhozhaev

7. Energy Method Of V. K. Kalantarov And O. A. Ladyzhenskaya

8. Energy Method Of M. O. Korpusov And A. G. Sveshnikov

9. Nonlinear Schrödinger Equation

10. Variational Method Of L. E. Payne And D. H. Sattinger

11. Breaking Of Solutions Of Wave Equations

A Auxiliary And Additional Results

Bibliography

Index

Notes:

Includes bibliographical references and index.

Description based on print version record.

ISBN:

3-11-059900-7

3-11-060207-5

OCLC:

1048661733