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Some Blow-Up Problems for a Semilinear Parabolic Equation with a Potential
The blow-up rate estimate for the solution to a semilinear parabolic equation
in with 0-Dirichlet
boundary condition is obtained. As an application, it is shown that the
asymptotic behavior of blow-up time and blow-up set of the problem with
nonnegative initial data u(x,0)=M\vf (x) as goes to infinity, which have
been found in \cite{cer}, are improved under some reasonable and weaker
conditions compared with \cite{cer}.Comment: 29 page
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