Optimal control problems of phase field system with total variation functional as the interfacial energy

zbMath1302.49007MaRDI QIDQ1943335

Ken Shirakawa, Noriaki Yamazaki

Publication date: 19 March 2013

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ade/1360073019

zbMATH Keywords

heat equationsingular diffusion equationoptimal control problemsnon-smooth objective functionparabolic PDEstotal variation functional

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Reaction-diffusion equations (35K57) Heat equation (35K05) Existence theories for optimal control problems involving partial differential equations (49J20)

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