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.

The generalized porousmedium equation on graphs: existence and uniqueness of solutions with l(1) data

Setti, AG;
2022-01-01

Abstract

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.
2022
2022
https://link.springer.com/article/10.1007/s00526-022-02249-w
Bianchi, D; Setti, Ag; Wojciechowski, Rk
File in questo prodotto:
File Dimensione Formato  
GPMEgraphs_REVISED-FINAL.pdf

Open Access dal 29/06/2023

Descrizione: Versione finale accettata
Tipologia: Documento in Post-print
Licenza: Copyright dell'editore
Dimensione 665.56 kB
Formato Adobe PDF
665.56 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2139271
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 8
  • ???jsp.display-item.citation.isi??? 8
social impact