An optimization problem in heat conduction with minimal temperature constraint, interior heating and exterior insulation

DOI10.1007/s00526-016-1071-yzbMath1366.35192arXiv1604.08485OpenAlexW2963708426MaRDI QIDQ514245

Hui Yu

Publication date: 1 March 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08485

zbMATH Keywords

variational problemminimizeroptimization problemheat conduction problemminimal temperature constraintoptimizer

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stefan problems, phase changes, etc. (80A22) Nonlinear elliptic equations (35J60) Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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An optimization problem in heat conduction with volume constraint and double obstacles ⋮ A free boundary optimization problem for the \(\infty\)-Laplacian

Cites Work

• The nonlinear optimization problem in heat conduction
• An Optimization Problem with Volume Constraint
• An Introduction to Variational Inequalities and Their Applications
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