Article ISI SCOPUS
Journal of Differential Equations  (2025)

The Hardy parabolic problem with initial data in uniformly local Lebesgue spaces

Carhuas-Torre, B; Castillo R.; Loayza M.

Keywords: nonlinear equation, Non-existence, Singular potential, Local existence, Singular initial data

Abstract

We consider the singular nonlinear equation ut??u=|?|??f(u) in RN×(0,T) with ?>0 and f?C([0,?)) non-decreasing. This equation is known in the literature as the Hardy parabolic equation when f(u)=up, p>1. We obtain necessary and sufficient conditions for the existence of solutions for initial data in the uniformly local Lebesgue spaces improving results given in the context of Lebesgue spaces. © 2025 Elsevier Inc.

Más información

Título según WOS: The Hardy parabolic problem with initial data in uniformly local Lebesgue spaces
Título según SCOPUS: The Hardy parabolic problem with initial data in uniformly local Lebesgue spaces
Título de la Revista: Journal of Differential Equations
Volumen: 424
Editorial: ACADEMIC PRESS INC
Fecha de publicación: 2025
Página de inicio: 438
Página final: 462
Idioma: English
DOI:

10.1016/j.jde.2025.01.009
Notas: ISI, SCOPUS