Some Blow-Up Problems for a Semilinear Parabolic Equation with a Potential

Details Some Blow-Up Problems for a Semilinear Parabolic Equation with a Potential Some Blow-Up Problems for a Semilinear Parabolic Equation with a Potential

2007-05-13

arxiv.org/abs/0705.1828v1

Mathematics

Analysis of PDEs

29 pages

Scientific paper

The blow-up rate estimate for the solution to a semilinear parabolic equation $u_t=\Delta u+V(x) |u|^{p-1}u$ in $\Omega \times (0,T)$ 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 $M$ goes to infinity, which have been found in \cite{cer}, are improved under some reasonable and weaker conditions compared with \cite{cer}.

Affiliated with

Also associated with

No associations

Rating

Some Blow-Up Problems for a Semilinear Parabolic Equation with a Potential does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Some Blow-Up Problems for a Semilinear Parabolic Equation with a Potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some Blow-Up Problems for a Semilinear Parabolic Equation with a Potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-458035