Isoperimetric inequalities involving heat flow under linear radiation conditions-Reference-Cited by-同舟云学术

Isoperimetric inequalities involving heat flow under linear radiation conditions

Published:1977 Issue:2 Volume:64 Page:265-271
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Acker Andrew

Abstract

Under the assumption that a constant linear radiation condition holds on each boundary component, we show that the annulus and the strip are heat-flow minimizing with respect to area-preserving variations in one (for the annulus: the outer) boundary component.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1977-064-02/S0002-9939-1977-0445122-1/S0002-9939-1977-0445122-1.pdf

Reference7 articles.

1. Heat flow inequalities with applications to heat flow optimization problems;Acker, Andrew;SIAM J. Math. Anal.,1977

2. Über ein Minimalproblem der mathematischen Physik;Carleman, T.;Math. Z.,1918

3. Hochschulb\"{u}cher f\"{u}r Mathematik, Band 31;Golusin, G. M.,1957

4. Partielle Differentialgleichungen

5. N. I. Mushelišvili, Singular integral equations, Noordhoff, Groningen, 1953.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Free Boundary Optimization Problem;SIAM Journal on Mathematical Analysis;1978-12

2. Isoperimetric inequalities involving heat flow—The case of a one-sided linear radiation condition;Zeitschrift für angewandte Mathematik und Physik ZAMP;1978-09

3. A free boundary optimization problem involving weighted areas;Zeitschrift für angewandte Mathematik und Physik ZAMP;1978-05

4. Heat Flow Inequalities with Applications to Heat Flow Optimization Problems;SIAM Journal on Mathematical Analysis;1977-08