Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations

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 diffu...

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1. Verfasser:	Galaktionov, Victor A. (VerfasserIn)
Weitere Verfasser:	Mitidieri, Enzo (VerfasserIn), Pochožaev, Stanislav I. (VerfasserIn)
Format:	UnknownFormat
Sprache:	eng
Veröffentlicht:	Boca Raton, London, New York CRC Press Taylor & Francis Group 2015
Schriftenreihe:	Monographs and Research Notes in Mathematics
Schlagworte:	Differential equations, Partial > Blowing up (Algebraic geometry) > Differential equations, Hyperbolic > Differential equations, Parabolic > Schrödinger equation > Singularities (Mathematics) > Schrödinger-Gleichung
Online Zugang:	Inhaltsverzeichnis Inhaltstext
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Zusammenfassung:	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
Beschreibung:	Literaturverzeichnis: Seite 515-535
Beschreibung:	xxvi, 543 Seiten Diagramme
ISBN:	9781482251722 978-1-4822-5172-2