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BV Solutions to Evolution Problems with Time-Dependent Domains

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Abstract

In a Hilbert space H we consider evolution problems -du(t) ε A(t)u(t) on some interval [0, T], where every A(t): D(A(t))→ 2 H is a maximal monotone operator, and the correspondence t↦ A(t) is – in a suitable sense – of bounded variation or absolutely continuous.

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Kunze, M., Monteiro Marques, M.D.P. BV Solutions to Evolution Problems with Time-Dependent Domains. Set-Valued Analysis 5, 57–72 (1997). https://doi.org/10.1023/A:1008621327851

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  • DOI: https://doi.org/10.1023/A:1008621327851

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