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Blow-up for higher-order parabolic, ...
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Galaktionov, Victor A.
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Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations // Victor A. Galaktionov, Enzo L. Mitidieri, Stanislav I. Pohozaev.
Author:
Galaktionov, Victor A.
other author:
Mitidieri, Enzo.
Published:
Boca Raton :CRC Press, Taylor & Francis Group, : c2015.,
Description:
xxvi, 543 p. :ill. ;24 cm.
[NT 15003449]:
1. Complicated self-similar blow-up, compacton, and standing wave patterns for four nonlinear PDEs: a unified variational approach to elliptic equations -- 2. Classification of global sign-changing solutions of semilinear heat equations in the subcritical Fujita range: second- and higher-order diffusion -- 3. Global and blow-up solutions for Kuramoto-Sivashinsky, Navier-Stokes, and Burnett equations -- 4. Regional, single-point, and global blow-up for a fourth- order porous medium-type equation with source -- 5. Semilinear fourth-order hyperbolic equation: two types of blow-up patterns -- 6. Quasilinear fourth-order hyperbolic Boussinesq equation : shock, rarefaction, and fundamental solutions -- 7. Blow-up and global solutions for Korteweg-de Vries-type equations -- 8. Higher-order nonlinear dispersion PDEs : shock, rarefaction, and blow-up waves -- 9. Higher-order Schrödinger equations : from"blow-up" zero structures to quasilinear operators.
Subject:
Differential equations, Partial. -
ISBN:
9781482251722
Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations /
Galaktionov, Victor A.
Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations /
Victor A. Galaktionov, Enzo L. Mitidieri, Stanislav I. Pohozaev. - Boca Raton :CRC Press, Taylor & Francis Group,c2015. - xxvi, 543 p. :ill. ;24 cm. - Monographs and research notes in mathematics. - Monographs and research notes in mathematics..
Includes bibliographical references (p. 515-535) and index.
1. Complicated self-similar blow-up, compacton, and standing wave patterns for four nonlinear PDEs: a unified variational approach to elliptic equations -- 2. Classification of global sign-changing solutions of semilinear heat equations in the subcritical Fujita range: second- and higher-order diffusion -- 3. Global and blow-up solutions for Kuramoto-Sivashinsky, Navier-Stokes, and Burnett equations -- 4. Regional, single-point, and global blow-up for a fourth- order porous medium-type equation with source -- 5. Semilinear fourth-order hyperbolic equation: two types of blow-up patterns -- 6. Quasilinear fourth-order hyperbolic Boussinesq equation : shock, rarefaction, and fundamental solutions -- 7. Blow-up and global solutions for Korteweg-de Vries-type equations -- 8. Higher-order nonlinear dispersion PDEs : shock, rarefaction, and blow-up waves -- 9. Higher-order Schrödinger equations : from"blow-up" zero structures to quasilinear operators.
ISBN: 9781482251722UK95.99
LCCN: 2014451823Subjects--Topical Terms:
518115
Differential equations, Partial.
LC Class. No.: QA377 / .G2216 2015
Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations /
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Victor A. Galaktionov, Enzo L. Mitidieri, Stanislav I. Pohozaev.
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1. Complicated self-similar blow-up, compacton, and standing wave patterns for four nonlinear PDEs: a unified variational approach to elliptic equations -- 2. Classification of global sign-changing solutions of semilinear heat equations in the subcritical Fujita range: second- and higher-order diffusion -- 3. Global and blow-up solutions for Kuramoto-Sivashinsky, Navier-Stokes, and Burnett equations -- 4. Regional, single-point, and global blow-up for a fourth- order porous medium-type equation with source -- 5. Semilinear fourth-order hyperbolic equation: two types of blow-up patterns -- 6. Quasilinear fourth-order hyperbolic Boussinesq equation : shock, rarefaction, and fundamental solutions -- 7. Blow-up and global solutions for Korteweg-de Vries-type equations -- 8. Higher-order nonlinear dispersion PDEs : shock, rarefaction, and blow-up waves -- 9. Higher-order Schrödinger equations : from"blow-up" zero structures to quasilinear operators.
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Mitidieri, Enzo.
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