A concise course on stochastic partial differential equations

These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. All kinds of dynamics with stochastic influence in nature or man-made complex systems can be modelled by such equations. To keep the technicalities minimal we confine ourselves to the cas...

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Detalles Bibliográficos
Otros Autores: Prévôt, Claudia, author (author), Röckner, Michael, 1956- author
Formato: Libro electrónico
Idioma:Inglés
Publicado: Berlin, Germany ; New York, New York : Springer [2007]
Edición:1st ed. 2007.
Colección:Lecture Notes in Mathematics, 1905
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461262806719
Tabla de Contenidos:
  • Motivation, Aims and Examples
  • Stochastic Integral in Hilbert spaces
  • Stochastic Differential Equations in Finite Dimensions
  • A Class of Stochastic Differential Equations in Banach Spaces
  • Appendices: The Bochner Integral
  • Nuclear and Hilbert-Schmidt Operators
  • Pseudo Invers of Linear Operators
  • Some Tools from Real Martingale Theory
  • Weak and Strong Solutions: the Yamada-Watanabe Theorem
  • Strong, Mild and Weak Solutions.