Article ISI SCOPUS
Electronic Journal of Differential Equations  (2025)

EXISTENCE AND NON-EXISTENCE OF SOLUTIONS FOR HARDY PARABOLIC EQUATIONS WITH SINGULAR INITIAL DATA

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

Keywords: uniqueness, critical values, Local existence, Lebesgue spaces, Hardy parabolic equation

Abstract

We establish the existence, non-existence and uniqueness of the local solutions of the Hardy parabolic equation ut ? ?u = h(t)| · |?? g(u) on ? × (0, T) with Dirichlet boundary conditions. We assume that ? with 0 ? ? is a smooth domain bounded or unbounded, h ? C(0, ?), g ? C([0, ?)) is a non-decreasing function, 0 < ? < min{2, N}, and the initial data have a singularity at the origin. ©2025. This work is licensed under a CC BY 4.0 license.

Más información

Título según WOS: EXISTENCE AND NON-EXISTENCE OF SOLUTIONS FOR HARDY PARABOLIC EQUATIONS WITH SINGULAR INITIAL DATA
Título según SCOPUS: EXISTENCE AND NON-EXISTENCE OF SOLUTIONS FOR HARDY PARABOLIC EQUATIONS WITH SINGULAR INITIAL DATA
Título de la Revista: Electronic Journal of Differential Equations
Volumen: 2025
Editorial: Texas State University - San Marcos
Fecha de publicación: 2025
Idioma: English
DOI:

10.58997/ejde.2025.67
Notas: ISI, SCOPUS