ENGLISH

Blow-up in Nonlinear Sobolev Type Equations (De Gruyter Series in Nonlinear Analysis and Applications)

By Alexander B. Al’shin , Maxim O. Korpusov , Alexey G. Sveshnikov

Book information

Publisher
de Gruyter
Year
2011
ISBN
3110255278, 9783110255270, 9783110255294
ISSN
0941-813X
LCC
QA378 .A47 2011
Google Books ID
8E5tua5iIBsC
Open Library ID
OL24808622M
Language
english
Format
PDF
Filesize
3 MB (2948264 bytes)
Series
De Gruyter Series in Nonlinear Analysis and Applications 15
Edition
1
Pages
661\661
Orientation
yes
Scanned
no
Time added
2012-02-04 16:00:00
Математика;Математическая физика

Description

The monograph is devoted to the study of initial-boundary-value problems for multi-dimensional Sobolev-type equations over bounded domains. The authors consider both specific initial-boundary-value problems and abstract Cauchy problems for first-order (in the time variable) differential equations with nonlinear operator coefficients with respect to spatial variables. The main aim of the monograph is to obtain sufficient conditions for global (in time) solvability, to obtain sufficient conditions for blow-up of solutions at finite time, and to derive upper and lower estimates for the blow-up time. The monograph contains a vast list of references (440 items) and gives an overall view of the contemporary state-of-the-art of the mathematical modeling of various important problems arising in physics. Since the list of references contains many papers which have been published previously only in Russian research journals, it may also serve as a guide to the Russian literature.

Similar books