Existence and partial regularity results for the gradient flow for a variational functional of degenerate type

We establish the existence and partial regularity of a weak solution to the evolution problem associated to a variational functional of degenerate type. We use the penalty method due to Chen and Struwe to make approximation of solutions. The main ingredient is to show that the ≤-regularity theorem h...

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Bibliographic Details
Main Author: Masashi Misawa
Format: Article
Language:English
Published: Sapienza Università Editrice 1999-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1999(3)/317-351.pdf