Local and global nonexistence of solutions to semilinear evolution equations

For a fixed $ p $ and $ sigma > -1 $, such that $ p >max{1,sigma+1}$, one main concern of this paper is to find sufficient conditions for non solvability of [ u_t = -(-Delta)^{frac{beta}{2}}u - V(x)u + t^sigma h(x)u^p + W(x,t), ] posed in $ S_T:=mathbb{R}^Nimes(0,T)$, where $ 0 < T <+inf...

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Bibliographic Details
Main Authors: Mohammed Guedda, Mokhtar Kirane
Format: Article
Language:English
Published: Texas State University 2002-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/09/g1/abstr.html