On the explicit representation of the trace space \(H^{\frac{3}{2}}\) and of the solutions to biharmonic Dirichlet problems on Lipschitz domains via multi-parameter Steklov problems

DOI10.1007/s13163-021-00385-zzbMath1485.35170arXiv1905.00712OpenAlexW3127518027MaRDI QIDQ2072233

Pier Domenico Lamberti, Luigi Provenzano

Publication date: 26 January 2022

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.00712

zbMATH Keywords

Fourier seriesbi-Laplaciantrace spacesSteklov boundary conditionsbiharmonic Steklov eigenvaluesmulti-parameter eigenvalue problems

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

Related Items (4)

Invertibility criteria for the biharmonic single-layer potential ⋮ Bulk-boundary eigenvalues for bilaplacian problems ⋮ Semiclassical bounds for spectra of biharmonic operators ⋮ The Bilaplacian with Robin Boundary Conditions

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