Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem (Memoirs of the American Mathematical Society)

by Donatella Danielli, Nicola Garofalo, Arshak Petrosyan, and Tung To

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The authors give a comprehensive treatment of the parabolic Signorini problem based on a generalization of Almgren's monotonicity of the frequency. This includes the proof of the optimal regularity of solutions, classification of free boundary points, the regularity of the regular set and the structure of the singular set.
  • ISBN13 9781470425470
  • Publish Date 1 September 2017
  • Publish Status Active
  • Publish Country US
  • Imprint American Mathematical Society
  • Format Paperback
  • Pages 103
  • Language English