Geodesic
Asymptotic behavior of solutions to parabolic problems with nonlinear nonlocal terms
Electronic journal of differential equations, Tome 2013 (2013)
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},
     year = {2013},
     volume = {2013},
     zbl = {1304.35098},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a90/}
}
TY  - JOUR
AU  - Loayza,  Miguel
TI  - Asymptotic behavior of solutions to parabolic problems with nonlinear nonlocal terms
JO  - Electronic journal of differential equations
PY  - 2013
VL  - 2013
UR  - http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a90/
LA  - en
ID  - EJDE_2013__2013__a90
ER  - 
%0 Journal Article
%A Loayza,  Miguel
%T Asymptotic behavior of solutions to parabolic problems with nonlinear nonlocal terms
%J Electronic journal of differential equations
%D 2013
%V 2013
%U http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a90/
%G en
%F EJDE_2013__2013__a90
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/