Title: The Riemannian Penrose inequality via nonlinear potential theory,
Speaker(s): Carlo Mantegazza , Università di Napoli,
Date and time: 11 Jul 2022, 17:30 (Europe/Rome),
Lecture series: Analysis Seminar,
Venue: Dipartimento di Matematica (Aula Magna).
You can access the full event here: https://events.dm.unipi.it/e/101
Abstract
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We will discuss the Riemannian Penrose inequality in an asymptotically flat 3-manifold with nonnegative scalar curvature
and the main points of a new proof by means of a monotonicity formula holding along the level sets of the p-capacitary potentials of the horizon boundary.
Joint work with Virginia Agostiniani, Lorenzo Mazzieri and Francesca Oronzio.
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Title: The Riemannian Penrose inequality via nonlinear potential theory,
Speaker(s): Carlo Mantegazza , Università di Napoli,
Date and time: Jul 11, 2022, 5:30 PM (Europe/Rome),
Lecture series: Analysis Seminar,
Venue: Dipartimento di Matematica (Aula Magna).
You can access the full event here: https://events.dm.unipi.it/e/101
Abstract
--------
We will discuss the Riemannian Penrose inequality in an asymptotically flat 3-manifold with nonnegative scalar curvature
and the main points of a new proof by means of a monotonicity formula holding along the level sets of the p-capacitary potentials of the horizon boundary.
Joint work with Virginia Agostiniani, Lorenzo Mazzieri and Francesca Oronzio.
Note
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Note the change of title and abstract!!!
Time and location are the same
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https://events.dm.unipi.it/e/101
Title: Li & Yau estimates for some semilinear heat equations,
Speaker(s): Carlo Mantegazza , Università di Napoli,
Date and time: 11 Jul 2022, 17:30 (Europe/Rome),
Lecture series: Analysis Seminar,
Venue: Dipartimento di Matematica (Aula Magna).
You can access the full event here: https://events.dm.unipi.it/e/101
Abstract
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We will show some Li & Yau–type gradient estimates for positive solutions of the semilinear heat equations $u_t =\Delta u + u^p$ with p>1,
on a complete n–dimensional Riemannian manifold (M,g) with nonnegative Ricci tensor. We then discuss some applications to ancient and eternal solutions.
Joint work with Giacomo Ascione, Daniele Castorina and Giovanni Catino.
--
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https://events.dm.unipi.it/e/101