Variations of constrained domain functionals associated with boundary-value problems

DOI10.1023/A:1017587408883zbMath0979.49035MaRDI QIDQ5942221

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Publication date: 28 August 2001

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

diffusion equationmoving boundary problemshape optimizationboundary-value problemsdomain functionalsdomain variations

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (1)

Second-order optimality conditions for constrained domain optimization

Cites Work

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• Optimization of elastic bars in torsion
• Estimates of harmonic measure
• Exit time moments, boundary value problems, and the geometry of domains in Euclidean space
• A symmetry problem in potential theory
• Convexity of domain functionals
• The Neumann problem on Lipschitz domains
• Differentiation with Respect to the Domain in Boundary Value Problems
• Brownian functionals on hypersurfaces in Euclidean space
• Existence of an Optimal Solution of a Shape Control Problem for the Stationary Navier--Stokes Equations
• On optimum design in fluid mechanics
• Variational Formulas on Lipschitz Domains
• On optimum profiles in Stokes flow

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