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Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations / Victor A. Galaktionov, University of Bath, UK ; Enzo L. Mitidieri, Universita' degli Studi di Trieste, Italy ; Stanislav I. Pohozaev, Steklov Institute of Mathematics, Moscow, Russia.

By: Contributor(s): Material type: TextTextLanguage: English Series: Monographs and research notes in mathematicsPublisher: Boca Raton : CRC Press, Taylor & Francis Group, [2015]Copyright date: ©2015Description: xxvi, 543 p. : ill ; 24 cmISBN:
  • 9781482251722 (hbk.)
  • 1482251728 (hbk.)
Subject(s): Additional physical formats: Electronic version:: No titleLOC classification:
  • QA377 .G2216 2015
Available additional physical forms:
  • Also available in electronic format.
Contents:
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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Holdings
Item type Current library Call number Copy number Status Date due Barcode
წიგნი წიგნი ეროვნული სამეცნიერო ბიბლიოთეკა 1 საცავი. 1 კორპ. 517.9 (Browse shelf(Opens below)) 2E61807 Available 2016-24669

Includes bibliographical references (pages 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.

Also available in electronic format.

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