A concise proof for existence and uniqueness of solutions of linear parabolic PDEs in the context of optimal control
نویسنده
چکیده
We present a concise proof for existence and uniqueness of solutions of linear parabolic PDEs. It is based on an analysis of the corresponding differential operator and its adjoint in appropriate spaces and simple enough to be presented in the context of an introductory lecture on optimal control of PDEs. Our approach also clarifies some aspects in the structure of first order optimality conditions as illustrated at an example. AMS MSC 2000: 35K15, 47N20, 49K20
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عنوان ژورنال:
- Systems & Control Letters
دوره 62 شماره
صفحات -
تاریخ انتشار 2013