Geodesic
Asymptotic behavior of solutions to parabolic problems with nonlinear nonlocal terms
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study the existence and asymptotic behavior of self-similar solutions to the parabolic problem $$ u_t-\Delta u=\int_0^t k(t,s)|u|^{p-1}u(s)ds\quad\hbox{on } (0,\infty)\times \mathbb{R}^N, $$ with p>1 and $u(0,\cdot) \in C_0(\mathbb{R}^N)$.
Classification : 35K15, 35B40, 35E15
Keywords: nonlocal parabolic equation, global solution, self-similar solution 
@article{EJDE_2013__2013__a90,
     author = {Loayza, Miguel},
     title = {Asymptotic behavior of solutions to parabolic problems with nonlinear nonlocal terms},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a90/}
}
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Loayza, Miguel. Asymptotic behavior of solutions to parabolic problems with nonlinear nonlocal terms. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a90/