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Titlebook: Optimal Control of Coupled Systems of Partial Differential Equations; Karl Kunisch,Jürgen Sprekels,Fredi Tröltzsch Conference proceedings

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Null-controllability for a Coupled Heat-Finite-dimensional Beam System,A model representing a coupling between a heat conducting medium and a finite-dimensional approximation of a beam equation is considered. We establish a Carleman inequality for this model. Next we deduce a nullcontrollability result with an internal control in the conducting medium and there is no control in the structure equation.
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Optimization Problems for Thin Elastic Structures,We discuss shape optimization problems and variational methods for fundamental mechanical structures like beams, plates, arches, curved rods, and shells.
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https://doi.org/10.1007/978-3-7643-8923-9Coupled Systems; Maxwell‘s equations; Partial Differential Equations; partial differential equation; wav
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Optimal Control of Coupled Systems of Partial Differential Equations978-3-7643-8923-9Series ISSN 0373-3149 Series E-ISSN 2296-6072
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Beyond Lack of Compactness and Lack of Stability of a Coupled Parabolic-Hyperbolic Fluid-Structure on of the domain .(.) of the generator ., there is no immediate implication of smoothing in the .-variable (i.e., its resolvent .(λ, .) is not compact on this component space). Thus, one is presented with the basic question of whether smooth initial data (I.C.) will give rise to higher regularity of
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