Polygonal heat conductors with a stationary hot spot

DOI10.1007/S11854-008-0029-1zbMath1176.35013OpenAlexW2048780055MaRDI QIDQ948856

Shigeru Sakaguchi, Rolando Magnanini

Publication date: 16 October 2008

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-008-0029-1

zbMATH Keywords

symmetryconvex polygonconstant initial datumzero boundary conditions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

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Cites Work

• Unnamed Item
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• The spatial critical points not moving along the heat flow
• Matzoh ball soup: Heat conductors with a stationary isothermic surface
• On heat conductors with a stationary hot spot
• Diffusion processes in a small time interval

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