A Dilation Invariance Method and the Stability of Inhomogeneous Wave Equations

We apply the method of a kind of dilation invariance to prove the generalized Hyers-Ulam stability of the (inhomogeneous) wave equation with a source, u t t ( x , t ) − c 2 ▵ u ( x , t ) = f ( x , t ) , for a class of real-valued functions with continuous second partial...

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Bibliographic Details
Main Authors: Ginkyu Choi, Soon-Mo Jung
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Mathematics
Subjects:
Online Access:http://www.mdpi.com/2227-7390/7/1/70