Titlebook: Optimal Control of Partial Differential Equations; Analysis, Approximat Andrea Manzoni,Alfio Quarteroni,Sandro Salsa Textbook 2021 Springer

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0066-5452 s ofOCPs that stand behind the advanced applications mentioned above..Starting from simple problems that allow a “hands-on” treatment, the reader is progressively led to a general framework suitable to face a b978-3-030-77228-4978-3-030-77226-0Series ISSN 0066-5452 Series E-ISSN 2196-968X

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Quadratic Control Problems Governed by Linear Evolution PDEsl control—that is, the identification of the initial condition—is presented in Sect. 7.3. A general framework for linear-quadratic OCPs governed by parabolic PDEs under divergence form is presented in Sect. 7.4; both the mathematical setting and the optimality conditions are then generalized to prob

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Textbook 2021 and parabolic type) and quadratic cost functions; part III deals with more general classes ofOCPs that stand behind the advanced applications mentioned above..Starting from simple problems that allow a “hands-on” treatment, the reader is progressively led to a general framework suitable to face a b

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Introduction: Representative Examples, Mathematical Structure,The purpose of this chapter is to introduce a general framework for optimal control problems (OCPs) governed by partial differential equations (PDEs), as well as a few intuitive examples and some significant cases.