Some Blow-Up Problems For A Semilinear Parabolic Equation With A Potential
نویسندگان
چکیده
The blow-up rate estimate for the solution to a semilinear parabolic equation ut = ∆u+V (x)|u|p−1u in Ω×(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) = Mφ(x) as M goes to infinity, which have been found in [5], are improved under some reasonable and weaker conditions compared with [5].
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To The Memory of My Father ,
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