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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
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BL
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| Record Number
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667864
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dltt
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| Main Entry
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Galaktionov, Victor A.
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| Title & Author
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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
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| Series Statement
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Monographs and research notes in mathematics
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| Page. NO
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xxvi, 543 pages :: illustrations ;; 24 cm
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| ISBN
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9781482251722
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: 1482251728
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: 1482251736
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: 9781482251739
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Includes bibliographical references (pages 515-535) and index
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| Contents
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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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| Subject
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Differential equations, Partial
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| LC Classification
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QA377.G35 2015
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| Added Entry
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Mitidieri, Enzo
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Pokhozhaev, S. I.
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