We consider a fourth order non linear evolution equation with a logarithmic potential. We study the asymptotic behaviour of the solutions and their regularity. Moreover, we provide an analysis of the set of stationary and travelling wave solutions.
DYNAMICS OF AN EVOLUTION EQUATION WITH SINGULAR POTENTIAL / Colucci, R.. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 22:12(2023), pp. 3391-3408. [10.3934/cpaa.2023117]
DYNAMICS OF AN EVOLUTION EQUATION WITH SINGULAR POTENTIAL
Colucci R.
2023-01-01
Abstract
We consider a fourth order non linear evolution equation with a logarithmic potential. We study the asymptotic behaviour of the solutions and their regularity. Moreover, we provide an analysis of the set of stationary and travelling wave solutions.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Postprint_Singular_Colucci.pdf
accesso aperto
Descrizione: This article has been published in a revised form in Communications on Pure and Applied Analysis [http://dx.doi.org/10.3934/cpaa.2023117]. This version is free to download for private research and study only. Not for redistribution, re-sale or use in derivative works
Tipologia:
Documento in post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza d'uso:
Tutti i diritti riservati
Dimensione
354.81 kB
Formato
Adobe PDF
|
354.81 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
