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The generalized porous medium equation on graphs: Existence and uniqueness of solutions with l^1 data

Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
Date: Tuesday, 19 September 2023 11:00 - 12:00

Venue: Davide Bianchi - Aula Buzano (DISMA Politecnico di Torino)

We study solutions of the generalized porous medium equation on infinite graphs. For nonnegative or nonpositive integrable data, we prove the existence and uniqueness of mild solutions on any graph. For changing sign integrable data, we show existence and uniqueness under extra assumptions such as local finiteness or a uniform lower bound on the node measure.

 

Speaker
Davide Bianchi
Affiliation
Harbin Institute of Technology (Shenzhen)
Room
Aula Buzano
Proposed by
Elvise Berchio

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