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SCUOLA NORMALE SUPERIORE Preprints di Matematica -n. 1 Gennaio 2005
 

Summary: SCUOLA NORMALE SUPERIORE
Pisa
Preprints di Matematica - n. 1 Gennaio 2005
Maximum Principles for Infinite Dimensional
Diffusion Equations
ROBERTO STASI
Maximum Principles for Infinite Dimensional
Diffusion Equations
Roberto Stasi
Scuola Normale Superiore
Piazza dei Cavalieri, 7
56126 Pisa
e-mail: roberto.stasi@sns.it
Abstract
In this paper we prove the validity of the Maximum Principle for
some class of elliptic and parabolic equations of diffusion type in infinite
dimension. The main tools are Asplund's theorem and Preiss' theorem
on differentiability of Lipschitz functions in Banach space.
AMS Subject Classification 2000: 35R15, 46G12, 58C20, 60H15.
Key Words and Phrases: uniqueness, Maximum Principle, Kolmogorov

  

Source: Abbondandolo, Alberto - Scuola Normale Superiore of Pisa

 

Collections: Mathematics