RT Journal Article
T1 Unbounded solutions of the nonlocal heat equation
A1 Brandle Cerqueira, Cristina
A1 Chasseigne, E.
A1 Ferreira, Raúl
AB We consider the Cauchy problem posed in the whole space for the following nonlocal heat equation: where is a symmetric continuous probability density. Depending on the tail of , we give a rather complete picture of the problem in optimal classes of data by: estimating the initial trace of (possibly unbounded) solutions; showing existence and uniqueness results in a suitable class; proving blow-up in finite time in the case of some critical growths; giving explicit unbounded polynomial solutions.
PB American Institute of Mathematical Sciences
SN 1534-0392
YR 2011
FD 2011-11
LK https://hdl.handle.net/10016/22186
UL https://hdl.handle.net/10016/22186
LA eng
DS e-Archivo
RD 20 may. 2024