# Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

DOI link for Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations book

# Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

DOI link for Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations book

ByVictor A. Galaktionov, Enzo L. Mitidieri, Stanislav I. Pohozaev

Edition 1st Edition

First Published 2014

eBook Published 22 September 2014

Pub. location New York

Imprint Chapman and Hall/CRC

Pages 569 pages

eBook ISBN 9780429160691

SubjectsMathematics & Statistics

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#### Get Citation

Galaktionov, V., Mitidieri, E., Pohozaev, S. (2015). Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations. New York: Chapman and Hall/CRC, https://doi.org/10.1201/b17415

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear PDEs.The book

## TABLE OF CONTENTS

chapter |13 pages

#### Blow-up rescaled equation as a gradient system: toward the generic blow-up behavior for parabolic PDEs

Variational setting and compactly supported solutions

chapter 1|5 pages

#### 11 Problem “fast diﬀusion”: L–S and other patterns

Oscillatory ODEs with analytic nonlinearities

chapter 2|2 pages

#### 2 Countable set of p-branches of global self-similar so-lutions: general strategy

Global similarity solutions for

chapter |2 pages

#### Variational setting: global p-branches

Pitchfork bifurcations at local existence of global sim- ilarity proﬁles

chapter |18 pages

#### Rarefaction similarity solutions

Blow-up self-similar solutions: invariant subspace and critical blow-up “saw” exponent

chapter |5 pages

#### Analytic δ-deformations by the Cauchy–Kovalevskaya theo-rem

compactons for higher-order NDEs

ByC-nonnegative