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On the rate of convergence of solutions in free boundary problems via penalization
Authors:Shigeaki Koike  Takahiro Kosugi  Makoto Naito
Institution:Mathematical Institute, Tohoku University, Aoba, Sendai, Miyagi, 980-8578, Japan
Abstract:The rate of convergence of approximate solutions via penalization for free boundary problems are concerned. A key observation is to obtain global bounds of penalized terms which give necessary estimates on integrations by the nonlinear adjoint method by L.C. Evans.
Keywords:Obstacle problem  Gradient constraint  Weakly coupled system  Penalization  Rate of convergence
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