Blow-up of solutions of a semilinear heat equation with a memory term
Messaoudi, Salim A.
Abstr. Appl. Anal., Tome 2005 (2005) no. 2, p. 87-94 / Harvested from Project Euclid
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We consider an initial boundary value problem related to the equation $u_{t}-\Delta u+\int_{0}^{t}g(t-s)\Delta u(x,s)ds= |u|^{p-2}u$ and prove, under suitable conditions on $g$ and $p$ , a blow-up result for certain solutions with positive initial energy.
Publié le : 2005-04-28
Classification:  
@article{1116340202,
     author = {Messaoudi, Salim A.},
     title = {Blow-up of solutions of a semilinear heat equation with a
memory term},
     journal = {Abstr. Appl. Anal.},
     volume = {2005},
     number = {2},
     year = {2005},
     pages = { 87-94},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1116340202}
}

Messaoudi, Salim A. Blow-up of solutions of a semilinear heat equation with a
memory term. Abstr. Appl. Anal., Tome 2005 (2005) no. 2, pp.  87-94. http://gdmltest.u-ga.fr/item/1116340202/