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Article
Analysis of a Combined Filtered/Phase-Field Approach to Topology Optimization in Elasticity
We advance a combined filtered/phase-field approach to topology optimization in the setting of linearized elasticity. Existence of minimizers is proved and rigorous parameter asymptotics are discussed by means...
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Article
Spatial ecology, optimal control and game theoretical fishing problems
Of paramount importance in both ecological systems and economic policies are the problems of harvesting of natural resources. A paradigmatic situation where this question is raised is that of fishing strategie...
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Article
A note on the rearrangement of functions in time and on the parabolic Talenti inequality
Talenti inequalities are a central feature in the qualitative analysis of PDE constrained optimal control as well as in calculus of variations. The classical parabolic Talenti inequality states that if we cons...
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Article
Shape Optimization of a Weighted Two-Phase Dirichlet Eigenvalue
This article is concerned with a spectral optimization problem: in a smooth bounded domain \({\Omega }\) Ω ...