arXiv Open Access 2022

Hilbert Complexes with Mixed Boundary Conditions -- Part 3: Biharmonic Complexes

Dirk Pauly Michael Schomburg

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Abstrak

We show that the biharmonic Hilbert complex with mixed boundary conditions on bounded strong Lipschitz domains is closed and compact. The crucial results are compact embeddings which follow by abstract arguments using functional analysis together with particular regular decompositions. Higher Sobolev order results are also proved. This paper extends recent results of the authors on the de Rham and elasticity Hilbert complexes with mixed boundary conditions and results of Pauly and Zulehner on the biharmonic Hilbert complex with empty or full boundary conditions.

Topik & Kata Kunci

math.AP math.FA

Penulis (2)

Dirk Pauly

Michael Schomburg

Format Sitasi

APA MLA BibTeX

Pauly, D., Schomburg, M. (2022). Hilbert Complexes with Mixed Boundary Conditions -- Part 3: Biharmonic Complexes. https://arxiv.org/abs/2207.11778

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓