Lasry-Lions regularization and a Lemma of Ilmanen
Patrick Bernard (CEREMADE)
TL;DR
This paper offers a comprehensive, self-contained proof of Ilmanen's Lemma utilizing a Lasry-Lions type regularization method, clarifying a key result in the field.
Contribution
It presents a new, self-contained proof of Ilmanen's Lemma based on Lasry-Lions regularization, enhancing understanding and accessibility.
Findings
Proof is fully self-contained and rigorous
Utilizes Lasry-Lions regularization technique
Clarifies a fundamental lemma in the literature
Abstract
We provide a full self-contained proof of a famous Lemma of Ilmanen. This proof is based on a regularisation procedure similar to Lasry-Lions regularisation.
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Taxonomy
TopicsAdvanced Banach Space Theory · Mathematical and Theoretical Analysis · Advanced Topics in Algebra