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Title of article :
The blow-up problem for a semilinear parabolic equation with a potential
Author/Authors :
Carmen Cortazar، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2007
Pages :
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Abstract :
Let Ω be a bounded smooth domain in RN. We consider the problem ut = u + V (x)up in Ω × [0,T ), with Dirichlet boundary conditions u = 0 on ∂Ω ×[0,T ) and initial datum u(x, 0) = Mϕ(x) where M 0, ϕ is positive and compatible with the boundary condition.We give estimates for the blow-up time of solutions for large values of M. As a consequence of these estimates we find that, for M large, the blow-up set concentrates near the points where ϕp−1V attains its maximum. © 2007 Elsevier Inc. All rights reserved.
Keywords :
Blow-up , Semilinear parabolic equations
Journal title :
Journal of Mathematical Analysis and Applications
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Link To Document :