IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Large time behavior for a nonlocal diffusion equation with absorption and bounded initial data
Autor/es:
TERRA, JOANA; WOLANSKI, NOEMI
Revista:
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Editorial:
AMER INST MATHEMATICAL SCIENCES
Referencias:
Lugar: springfield; Año: 2011 vol. 31 p. 581 - 605
ISSN:
1078-0947
Resumen:
We study the large time behavior of nonnegative solutions of theCauchy problem $u_t=int J(x-y)(u(y,t)-u(x,t)),dy-u^p$,$u(x,0)=u_0(x)in L^infty$, where $|x|^{alpha}u_0(x)
ightarrow A>0$ as$|x|
ightarrowinfty$. One of our main goals is the study of the critical case$p=1+2/alpha$ for $0
