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On the Blow-Up of the Solution of a Problem for the Sobolev Equation with a Noncoercive Source.

Authors :
Artemeva, M. V.
Korpusov, M. O.
Source :
Differential Equations; Jul2023, Vol. 59 Issue 7, p893-903, 11p
Publication Year :
2023

Abstract

We consider an initial–boundary value problem for a nonlinear Sobolev-type second-order differential equation with a noncoercive source describing the behavior of charges in a semiconductor plasma in an external field. The local solvability of this problem is proved, and upper bounds are obtained for the solution blow-up time. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00122661
Volume :
59
Issue :
7
Database :
Complementary Index
Journal :
Differential Equations
Publication Type :
Academic Journal
Accession number :
171883042
Full Text :
https://doi.org/10.1134/S0012266123070030