Nonlinear degenerate parabolic equations with irregular initial data

Existence and regularity results for a class of degenerate nonlinear parabolic equations are proved for irregular initial data like the Dirac mass. Indeed the diffusion operator may degenerate as the solution diverges and may depend on space and time variables in a non–regular way, too.

Bibliographic Details
Main Author: Maria Michaela Porzio
Format: Article
Language:English
Published: Sapienza Università Editrice 2021-02-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2021(3-4)/293-307.pdf