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Operations research, linear programming, control theory, systems theory, optimal control, game theory

2 votes
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Weird claims and conclusions in "Introduction to Shape Optimization"

Not an answer, but too long for a comment. The general idea with this stuff seems to be to pair your family $\mathscr{D}$ of admissible domains with a(ny) suitable normed-space $\mathscr{V}$ of vector …
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1 vote
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Prove of the shape-derivative identity relating the shape and material derivative of a shape...

The classical material derivative $D\varphi/Dt$ of a test function $\varphi \in C_c^\infty(\mathbb{R}_+\times D)$ is obtained by setting $$ \dfrac{D\varphi}{Dt}(x) := \dfrac{\partial\tilde\varphi}{\pa …
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  • 778