Bounds for the heat diffusion through windows of given area

DOI10.1006/jmaa.1997.5716zbMath0898.35068OpenAlexW1980156954MaRDI QIDQ1378632

Jochen Denzler

Publication date: 9 February 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5716

zbMATH Keywords

first eigenvaluebounds on the heat kernel

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Heat equation (35K05) Variational methods for second-order elliptic equations (35J20)

Related Items

The Brezis-Nirenberg problem for the fractional Laplacian with mixed Dirichlet-Neumann boundary conditions, Mixed boundary value problems for fully nonlinear degenerate or singular equations, A boundary piecewise constant level set method for boundary control of eigenvalue optimization problems, Semilinear fractional elliptic problems with mixed Dirichlet-Neumann boundary conditions, Principal eigenvalue of mixed problem for the fractional Laplacian: moving the boundary conditions, Some Remarks on Elliptic Equations with Singular Potentials and Mixed Boundary Conditions, Approach to equilibrium of particles diffusing on curved surfaces, On mixed Dirichlet-Neumann eigenvalues of triangles, Windows of given area with minimal heat diffusion

Cites Work

• The essential spectrum of Neumann Laplacians on some bounded singular domains
• A general rearrangement inequality for multiple integrals
• Real Interpolation of Sobolev Spaces on Subdomains of Rn
• Discrete and Cantor Spectrum for Neumann Laplacians of Combs
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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