On Well-posedness of Impulsive Problems for Nonlinear Parabolic Equations

Author

W. Zhang
Ravi P. Agarwal
Elvan Akin, Missouri University of Science and TechnologyFollow

Editor(s)

Sivasundaram, Seenith and Friedman, Avner

Abstract

In this paper we give weaker conditions for well-posedness of impulsive problems for nonlinear parabolic equations, including existence, uniqueness and continuous dependence, even in case their corresponding Cauchy problems do not have global solutions. With some concrete examples of PDEs we show when their impulsive problems are well-posed and how the well-posedness is related to life-span of PDEs. We also indicate that some assumptions in [6] and [9] are unnecessary.

Recommended Citation

W. Zhang et al., "On Well-posedness of Impulsive Problems for Nonlinear Parabolic Equations," Nonlinear Studies, Cambridge Scientific Publishers Ltd., Jan 2002.

Department(s)

Mathematics and Statistics

Keywords and Phrases

impulsive problem; parabolic equations; blow-up; well-posed

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2002 Cambridge Scientific Publishers Ltd., All rights reserved.

Publication Date

01 Jan 2002