Blow-up for p-Laplacian parabolic equations
In this article we give a complete picture of the blow-up criteria for weak solutions of the Dirichlet problem $$ u_t= abla(| abla u|^{p-2} abla u)+lambda |u|^{q-2}u,quad hbox{in } Omega_T, $$ where $p>1$. In particular, for $p>2$, $q=p$ is the blow-up critical exponent and we show that the sh...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2003-02-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2003/20/abstr.html |