Galaktionov, Victor A. <br/><br/>
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. 
 - Boca Raton :  CRC Press, Taylor & Francis Group,  [2015].  ©2015 
 - xxvi, 543 p. :  ill ;  24 cm. 
 - Monographs and research notes in mathematics .
 - Monographs and research notes in mathematics. .
<br/><br/>Includes bibliographical references (pages 515-535) and index. 
<br/><br/>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. 
<br/><br/>
<br/><br/><label>ISBN: </label>9781482251722 (hbk.) 1482251728 (hbk.) 
<br/><br/><label>LCCN: </label>2014451823 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Differential equations, Partial.<br/>Differential equations, Partial.
<br/><br/><label>Subjects--Index Terms: </label>მათემატიკა დიფერენციალური განტოლებები 
<br/><br/><label>LC Class. No.: </label>QA377  / .G2216 2015 
<br/><br/><label>Universal Decimal Class. No.: </label>517.9