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Optimal Control of Partial Differential Equations II: Theory and Applications

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This volume features contributions from the conference "Optimal Control of Partial Differential Equations," held at the Mathematisches Forschungsinstitut Oberwolfach from May 18 to May 24, 1986. The diverse topics presented highlight the challenges in developing a unifying control theory for partial differential equations. However, there is a notable focus on practical applications, including optimal cooling laws for rolled steel production and optimal shape design in mechanics and hydrodynamics. Another significant area addressed is the development of numerical methods, encompassing the finite element method and Quasi-Newton methods for both constrained and unconstrained control problems. The volume also delves into complex issues related to free boundary value problems. Additionally, several contributions illustrate how practical challenges can drive advancements in theory, particularly in suboptimal control, necessary optimality conditions, and sensitivity analysis. The conference fostered engaging discussions in the welcoming environment of the Mathematisches Forschungsinstitut Oberwolfach, with participants expressing gratitude to the Director and staff for their support.

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Optimal Control of Partial Differential Equations II: Theory and Applications, Heinz Hoffmann

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Erscheinungsdatum
1987
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