Moving Interfaces and Quasilinear Parabolic Evolution Equations

In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems, transmission pro...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Prüss, Jan (Autor), Simonett, Gieri (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Edición:1st ed. 2016.
Colección:Monographs in Mathematics, 105
Temas:
Differential equations.
Mathematical physics.
Functional analysis.
Differential Equations.
Mathematical Methods in Physics.
Functional Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • Basic Notations
  • General References
  • Part I Background
  • 1Problems and Strategies
  • 2.Tools from Differential Geometry
  • Part II Abstract Theory
  • 3Operator Theory and Semigroups
  • 4.Vector-Valued Harmonic Analysis
  • 5.Quasilinear Parabolic Evolution Equations
  • Part III Linear Theory
  • 6.Elliptic and Parabolic Problems
  • 7.Generalized Stokes Problems
  • 8.Two-Phase Stokes Problems
  • Part IV Nonlinear Problems
  • 9.Local Well-Posedness and Regularity
  • 10.Linear Stability of Equilibria
  • 11.Qualitative Behaviour of the Semiows
  • 12.Further Parabolic Evolution Problems
  • Biographical Comments
  • Outlook and Future Challenges
  • References
  • List of Figures
  • List of Symbols
  • Subject Index.

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