On Isoperimetric Inequalities for the Cauchy-Robin Heat Operator

DOI10.1051/MMNP/201712311zbMath1390.35193OpenAlexW2618042835MaRDI QIDQ4607559

Aidyn Kassymov, Makhmud A. Sadybekov, Durvudkhan Suragan

Publication date: 14 March 2018

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/201712311

zbMATH Keywords

isoperimetric inequalityheat operator\(s\)-number

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (4)

An embedding theorem for the fractional Sobolev space on homogeneous groups ⋮ Rayleigh-Faber-Krahn, Lyapunov and Hartmann-Wintner inequalities for fractional elliptic problems ⋮ Preface for the Special Issue on “Special functions and analysis of PDEs” ⋮ SOME WEAK GEOMETRIC INEQUALITIES FOR THE RIESZ POTENTIAL

Cites Work

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• Isoperimetric inequalities for Schatten norms of Riesz potentials
• On first and second eigenvalues of Riesz transforms in spherical and hyperbolic geometries
• Isoperimetric inequalities for the logarithmic potential operator
• Some spectral geometry inequalities for generalized heat potential operators
• A Faber-Krahn inequality for Robin problems in any space dimension
• On Schatten norms of convolution-type integral operators
• An isoperimetric inequality for the second eigenvalue of the Laplacian with Robin boundary conditions
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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