SPATIAL DECAY FOR SOLUTIONS OF CAUCHY PROBLEMS FOR PERTURBED HEAT EQUATIONS-Reference-Cited by-同舟云学术

SPATIAL DECAY FOR SOLUTIONS OF CAUCHY PROBLEMS FOR PERTURBED HEAT EQUATIONS

Published:2001-07 Issue:05 Volume:11 Page:797-808
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

SONG J. C.¹

Affiliation:

1. Department of Mathematics, Hanyang University, Ansan, Kyunggido, 425-791, Korea

Abstract

This paper investigates the decay of solutions of four different perturbations of the heat equation in a semi-infinite cylinder when it is heated at the finite end. In each case a bound for the decay of "energy" is obtained, with an explicit exponential decay rate which depends on the perturbation parameter.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202501001100

Reference9 articles.

1. Continuous Dependence on Modeling for Related Cauchy Problems of a Class of Evolution Equations

2. ASYMPTOTIC BEHAVIOR FOR TWO REGULARIZATIONS OF THE CAUCHY PROBLEM FOR THE BACKWARD HEAT EQUATION

3. Spatial decay estimates in transient heat conduction

4. POINTWISE BOUNDS AND SPATIAL DECAY ESTIMATES IN HEAT CONDUCTION PROBLEMS

Cited by 11 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. Spatial behavior in high-order partial differential equations;Mathematical Methods in the Applied Sciences;2018-01-19

2. On the final boundary value problems in linear thermoelasticity;Meccanica;2012-07-25

3. On the Spatial Behavior of Constrained Motion in Type III Thermoelasticity;Journal of Thermal Stresses;2010-06-11

4. On Some Non-Standard Problems in Linear Thermoelasticity;Journal of Thermal Stresses;2009-11-11

5. Spatial behaviour of solutions of the three-phase-lag heat equation;Applied Mathematics and Computation;2009-07