Stability of the Diffusion Equation with a Source

We will prove the generalized Hyers-Ulam stability of the (inhomogeneous) diffusion equation with a source, ut(x,t)-k△u(x,t)=f(x,t), for a class of scalar functions with continuous second partial derivatives.

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Bibliographic Details
Main Authors: Soon-Mo Jung, Seungwook Min
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/1216901
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