Title
A heat equation with a nonlinear nonlocal term in time and singular initial data
Date Issued
01 January 2014
Access level
metadata only access
Resource Type
journal article
Author(s)
Quinteiro I.
Universidade Federal de Pernambuco
Abstract
We consider the general semilinear parabolic equation ut - Δu = ∫0t k(t, s)\u\p-1u(s)ds in (0, T) × ℝN with p > 1. The function k : {(t, s); s < t} → ℝ is continuous and verifies a scaling property. We prove the existence and non existence results for initial data in the space L r(ℝN) with 1 ≤ r < ∞.
Start page
447
End page
460
Volume
27
Issue
June 5
Language
English
OCDE Knowledge area
Matemáticas puras
Scopus EID
2-s2.0-84899803934
Source
Differential and Integral Equations
ISSN of the container
08934983
Sources of information:
Directorio de Producción Científica
Scopus