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Mathematics > Analysis of PDEs

arXiv:2207.07959 (math)
[Submitted on 16 Jul 2022 (v1), last revised 23 Dec 2022 (this version, v3)]

Title:Fourth order differential operators with interior degeneracy and generalized Wentzell boundary conditions

Authors:Alessandro Camasta, Genni Fragnelli
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Abstract:In this paper we consider the fourth order operators A1u := (au")" and A2u := au"" in divergence form and non divergence form, respectively, where a, defined in [0, 1] with values in R+, degenerates in an interior point of the interval. Using the semigroup technique, under suitable assumptions on a, we study the generation property of these operators associated to generalized Wentzell boundary conditions, proving the well posedness of the corresponding parabolic problems.
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:2207.07959 [math.AP]
  (or arXiv:2207.07959v3 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.2207.07959

Submission history

From: Genni Fragnelli [view email]
[v1] Sat, 16 Jul 2022 14:35:26 UTC (19 KB)
[v2] Mon, 12 Dec 2022 18:39:48 UTC (19 KB)
[v3] Fri, 23 Dec 2022 18:06:26 UTC (19 KB)
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