The total variation flow with time dependent boundary values

Bögelein V, Duzaar F, Scheven C (2016)

Publication Type: Journal article

Publication year: 2016

Journal

Calculus of Variations and Partial Differential Equations Springer Verlag (Germany)

Book Volume: 55

Pages Range: Art. 108, 31

Journal Issue: 4

DOI: 10.1007/s00526-016-1041-4

Abstract

In this paper we consider the Cauchy–Dirichlet problem for the total variation flow on a space-time cylinder   ΩT=Ω×(0,T) with a bounded Lipschitz domain Ω in Rn, when the initial datum uo is in L2(Ω) and the time dependent lateral boundary values g are given by a function in L1w∗(0,T;BV(Ω))  with time derivative   ∂tg∈L2(ΩT) .


Authors with CRIS profile

Frank Duzaar Lehrstuhl für Partial Differential Equations

Involved external institutions

Universität Salzburg (Paris Lodron Universität Salzburg) AT Austria (AT) Universität Duisburg-Essen (UDE) DE Germany (DE)

How to cite

APA:

Bögelein, V., Duzaar, F., & Scheven, C. (2016). The total variation flow with time dependent boundary values. Calculus of Variations and Partial Differential Equations, 55(4), Art. 108, 31. https://doi.org/10.1007/s00526-016-1041-4

MLA:

Bögelein, Verena, Frank Duzaar, and Christoph Scheven. "The total variation flow with time dependent boundary values." Calculus of Variations and Partial Differential Equations 55.4 (2016): Art. 108, 31.

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