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:
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