On Well-posedness of Impulsive Problems for Nonlinear Parabolic Equations
Sivasundaram, Seenith and Friedman, Avner
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  and  are unnecessary.
W. Zhang et al., "On Well-posedness of Impulsive Problems for Nonlinear Parabolic Equations," Nonlinear Studies, Cambridge Scientific Publishers Ltd., Jan 2002.
Mathematics and Statistics
Keywords and Phrases
impulsive problem; parabolic equations; blow-up; well-posed
Article - Journal
© 2002 Cambridge Scientific Publishers Ltd., All rights reserved.