Remarks on a paper by W. A. Day on a maximum principle under nonlocal boundary conditions-Reference-Cited by-同舟云学术

Remarks on a paper by W. A. Day on a maximum principle under nonlocal boundary conditions

Published:1987 Issue:4 Volume:44 Page:751-752
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Kawohl Bernhard

Abstract

In a recent paper W. A. Day proved a decay property for solutions to a linear parabolic equation with nonlocal boundary conditions. Such boundary conditions arise in thermoelasticity. We extend his result (a) from one to arbitrary space dimensions, (b) from linear to nonlinear parabolic equations, and (c) from differential equations to differential inequalities. Our tool is the classical maximum principle.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1987-44-04/S0033-569X-1987-0872825-0/S0033-569X-1987-0872825-0.pdf

Reference4 articles.

1. On a quasilinear elliptic boundary value problem of nonlocal type with an application in combustion theory;Bader, Peter;Z. Angew. Math. Phys.,1984

2. W. A. Day, A decreasing property of solutions of parabolic equations with applications to thermoelasticity, Quart. Appl. Math. 40, 468–475 (1983)

3. Some nonlocal boundary value problems for linear differential operators;Paneyakh, B. P.;Mat. Zametki,1984

Cited by 43 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. Numerical solution to a nonlinear McKendrick-Von Foerster equation with diffusion;Numerical Algorithms;2022-06-29

2. A MODIFIED BACKWARD EULER SCHEME FOR THE DIFFUSION EQUATION SUBJECT TO NONLINEAR NONLOCAL BOUNDARY CONDITIONS;Eurasian Journal of Mathematical and Computer Applications;2021-09-25

3. Heat source identification of some parabolic equations based on the method of fundamental solutions;The European Physical Journal Plus;2018-10

4. A class of time-fractional reaction-diffusion equation with nonlocal boundary condition;Mathematical Methods in the Applied Sciences;2018-02-12

5. Numerical solution of two backward parabolic problems using method of fundamental solutions;Inverse Problems in Science and Engineering;2016-01-30