Abstract
We are concerned with an inverse problem for a first-order linear evolution equation. Moreover, a complete second-order evolution equation will be considered, too. We indicate sufficient conditions for existence and uniqueness of a solution. All the results apply well to inverse problems for equations from mathematical physics. As a possible application of the abstract theorems, some examples of partial differential equations are given.
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Dedicated to the memory of Alfredo Lorenzi
Lecture given at the Alfredo Lorenzi Analysis Seminar by Angelo Favini on February 24, 2015
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Al Horani, M., Favini, A. & Tanabe, H. Parabolic First and Second Order Differential Equations. Milan J. Math. 84, 299–315 (2016). https://doi.org/10.1007/s00032-016-0260-7
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DOI: https://doi.org/10.1007/s00032-016-0260-7