Maximal Lp-regularity of parabolic problems with boundary dynamics of relaxation type

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Abstract

In this paper we investigate vector-valued parabolic initial boundary value problems of relaxation type. Typical examples for such boundary conditions are dynamic boundary conditions or linearized free boundary value problems like in the Stefan problem. We present a complete Lp-theory for such problems which is based on maximal regularity of certain model problems. © 2008 Elsevier Inc. All rights reserved.

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Denk, R., Prüss, J., & Zacher, R. (2008). Maximal Lp-regularity of parabolic problems with boundary dynamics of relaxation type. Journal of Functional Analysis, 255(11), 3149–3187. https://doi.org/10.1016/j.jfa.2008.07.012

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