In this paper we study the regularity and the behavior in time of the solutions to the Dirichlet problem for the total variation flow in a bounded domain. We show that the regularity of the initial datum influences the behavior and can produce extinction in finite time and “immediately boundedness of the solutions”.
On the behavior in time of the solutions to total variation flow / Porzio, Maria Michaela; Riey, Giuseppe. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8266. - (2024). [10.1515/acv-2024-0033]
On the behavior in time of the solutions to total variation flow
Maria Michaela Porzio;
2024
Abstract
In this paper we study the regularity and the behavior in time of the solutions to the Dirichlet problem for the total variation flow in a bounded domain. We show that the regularity of the initial datum influences the behavior and can produce extinction in finite time and “immediately boundedness of the solutions”.File allegati a questo prodotto
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