First-order inverse evolution equations

Mohammed Al Horani; Angelo Favini

doi:10.3934/eect.2014.3.355

Article Contents

2014, Volume 3, Issue 3: 355-361. Doi: 10.3934/eect.2014.3.355

This issue Previous Article Preface Next Article Lower semicontinuity for polyconvex integrals without coercivity assumptions

First-order inverse evolution equations

Mohammed Al Horani^1, and
Angelo Favini^2,

1.
Department of Mathematics, The University of Jordan, Amman
2.
Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta S. Donato, 5, 40126 Bologna

Received: May 2013

Revised: April 2014

Published: September 2014

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Abstract

We are concerned with an inverse problem for first order linear evolution equations. We indicate sufficient conditions for existence and uniqueness of a solution to these problems. All the results apply well to inverse problems for equations from mathematical physics. Indeed, as a possible application of the abstract theorems, some examples of partial differential equations are given.

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Mathematics Subject Classification: Primary: 34G10; Secondary: 34A55.

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References

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