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International Conference on Interdisciplinary Mathematical and Statistical Techniques - IMST 2008 / FIM XVI
May 16-18, 2008
University of Memphis
Memphis, TN, USA

Organizers
Sat Gupta, M.L. Aggarawal, James Jamison

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Asymptotic Analysis Of The Abstract Telegraph Equation
by
Ted Clarke
Department of Mathematical Sciences, University of Memphis.
Coauthors: Eugene C. Eckstein, Department of Biomedical Engineering, University of Memphis; Jerome A. Goldstein, Department of Mathematical Sciences, University of Memphis.

It is known that each solution of the abstract telegraph equation is approximately equal to some solution of the corresponding abstract heat equation. It is shown how to find the initial condition for the abstract heat equation in terms of the two initial conditions and intensity parameter of the abstract telegraph equation so that one can say that a given solution of the abstract telegraph equation is asymptotically close to a specific solution of the abstract heat equation.

Date received: April 9, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxa-46.