Inverse problems for evolution equations with time dependentoperator-coefficients

Mohammed Al Horani; Angelo Favini; Hiroki Tanabe

doi:10.3934/dcdss.2016025

Article Contents

2016, Volume 9, Issue 3: 737-744. Doi: 10.3934/dcdss.2016025

This issue Previous Article Classical solutions to quasilinear parabolic problems with dynamic boundary conditions Next Article Observability of $N$-dimensional integro-differential systems

Inverse problems for evolution equations with time dependent operator-coefficients

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
3.
Hirai Sanso 12-13, Takarazuka 665-0817

Received: April 30, 2015

Revised: June 30, 2015

Published: May 2016

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Abstract

In this paper we study an inverse problem with time dependent operator-coefficients. We indicate sufficient conditions for the existence and the uniqueness of a solution to this problem. A number of concrete applications to partial differential equations is described.

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

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References

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