Quenching phenomenon of singular parabolic problems with L1 initial data


Autoria(s): Dao, A.N.; Díaz Díaz, Jesús Ildefonso; Sauvy, P.
Resumo

We extend some previous existence results for quenching type parabolic problems involving a negative power of the unknown in the equation to the case of merely integrable initial data. We show that L1 Ω is the suitable framework to obtain the continuous dependence with respect to some norm of the initial datum; This way we answer to the question raised by several authors in the previous literature. We also show the complete quenching phenomena for such a L1-initial datum.

Formato

application/pdf

Identificador

http://eprints.ucm.es/39263/1/198.pdf

Idioma(s)

en

Publicador

Texas State University

Relação

http://eprints.ucm.es/39263/

http://ejde.math.txstate.edu/Volumes/2016/136/dao.pdf

info:eu-repo/grantAgreement/EC/FP7/238702

MTM2011-26119

910480

Direitos

info:eu-repo/semantics/openAccess

Palavras-Chave #Ecuaciones diferenciales
Tipo

info:eu-repo/semantics/article

PeerReviewed