TY  - BOOK
AU  - Galaktionov,Victor A.
AU  - Mitidieri,Enzo
AU  - Pokhozhaev,S.I.
TI  - Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations
T2  - Monographs and research notes in mathematics
SN  - 9781482251722 (hbk.)
AV  - QA377 .G2216 2015
PY  - 2015///]
CY  - Boca Raton
PB  - CRC Press, Taylor & Francis Group
KW  - Differential equations, Partial
KW  - fast
KW  - მათემატიკა
KW  - დიფერენციალური განტოლებები
N1  - 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
ER  -