Heat equation for a general convex domain inR3with a finite number of piecewise impedance boundary conditions

DOI10.1080/00036819108840042zbMath0738.58049OpenAlexW1973480539WikidataQ58250616 ScholiaQ58250616MaRDI QIDQ4711108

Elsayed M. E. Zayed

Publication date: 25 June 1992

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819108840042

zbMATH Keywords

inverse problemeigenvalue problemLaplace operatorspectral function

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Heat equation (35K05)

Related Items (8)

On hearing the shape of the three-dimensional multi-connected vibrating membrane with piecewise smooth boundary conditions ⋮ On hearing the shape of rectilinear regions ⋮ An inverse problem for a general doubly connected bounded domain in R³with a Finite Number of Piecewise Impedance Boundary Conditions ⋮ Asymptotic expansions of the heat kernel of the Laplacian for general annular bounded domains with Robin boundary conditions: Further results. ⋮ Eigenvalues of the negative Laplacian for simply connected bounded domains ⋮ Short-time asymptotics of the heat kernel on bounded domain with piecewise smooth boundary conditions and its applications to an ideal gas ⋮ An inverse problem for a general vibrating annular membrane in \(\mathbb R^ 3\) with its physical applications: further results. ⋮ An inverse problem for the three-dimensional multi-connected vibrating membrane with Robin boundary conditions.

Cites Work

• An inverse eigenvalue problem for a general convex domain: an extension to higher dimensions
• Eigenvalues of the Laplacian with Neumann boundary conditions

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