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.
Al Horani, M., Favini, A., Tanabe, H. (2016). Parabolic First and Second Order Differential Equations. MILAN JOURNAL OF MATHEMATICS, 84(2), 1-17 [10.1007/s00032-016-0260-7].
Parabolic First and Second Order Differential Equations
FAVINI, ANGELO;
2016
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.File in questo prodotto:
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