Remarks on a paper by W. A. Day on a maximum principle under nonlocal boundary conditions
Open Access
- 1 January 1987
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 44 (4) , 751-752
- https://doi.org/10.1090/qam/872825
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.Keywords
This publication has 4 references indexed in Scilit:
- On a quasilinear elliptic boundary value problem of nonlocal type with an application in combustion theoryZeitschrift für angewandte Mathematik und Physik, 1984
- Certain nonlocal boundary-value problems for linear differential operatorsMathematical Notes, 1984
- Maximum Principles in Differential EquationsPublished by Springer Nature ,1984
- A decreasing property of solutions of parabolic equations with applications to thermoelasticityQuarterly of Applied Mathematics, 1983