Blowing-up property of the solution of an impulsive parabolic equation

Authors
Citation
K. Nakagawa, Blowing-up property of the solution of an impulsive parabolic equation, NONLIN ANAL, 47(6), 2001, pp. 3729-3740
Citations number
6
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
6
Year of publication
2001
Part
6
Pages
3729 - 3740
Database
ISI
SICI code
0362-546X(200108)47:6<3729:BPOTSO>2.0.ZU;2-D
Abstract
An impulsive semilinear parabolic equation subject to an inhomogeneous Robi n boundary condition is considered. We prove that for certain classes of im pulsive sources and continuous initial data, the solutions of the problem u nder consideration blow up in the desired time interval. And we give a simp le numerical example.