Life span of nonnegative solutions to certain quasilinear parabolic Cauchy problems
We consider the problem $$ ho(x)u_t-Delta u^m=h(x,t)u^{1+p}, quad x in mathbb{R}^N, ; t>0, $$ with nonnegative, nontrivial, continuous initial condition, $$ u(x,0)=u_0(x) otequiv 0, quad u_0(x)ge 0, ; x in mathbb{R}^N. $$ An integral inequality is obtained that can be used to find an exponent $...
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| Format: | Article |
| Language: | English |
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Texas State University
2003-06-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/66/abstr.html |