Optimal regularity and the free boundary in the parabolic Signorini problem /

We 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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Danielli, Donatella, 1966- (Autor), Garofalo, Nicola (Autor), Petrosyan, Arshak, 1975- (Autor), To, Tung, 1980- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2017.
Colección:Memoirs of the American Mathematical Society ; no. 1181.
Temas:
Elasticity > Mathematical models.
Boundary value problems.
Mathematical physics.
Élasticité > Modèles mathématiques.
Problèmes aux limites.
Physique mathématique.
Boundary value problems
Elasticity > Mathematical models
Mathematical physics
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction
  • Notation and preliminaries
  • Known existence and regularity results
  • Classes of solutions
  • Estimates in Gaussian spaces
  • The generalized frequency function
  • Existence and homogeneity of blowups
  • Homogeneous global solutions
  • Optimal regularity of solutions
  • Classification of free boundary points
  • Free boundary: Regular set
  • Free boundary: Singular set
  • Weiss and Monneau type monotonicity formulas
  • Structure of the singular set
  • Appendix A. Estimates in Gaussian spaces: Proofs
  • Parabolic Whitney's extension theorem.

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