Ross G. Pinsky

Positive Harmonic Functions and Diffusion

• Broschiertes Buch

Produktbeschreibung

A self-contained account of the theory of positive harmonic functions for second order elliptic operators, using an integrated probabilistic and analytic approach.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 492
• Erscheinungstermin: 31. Dezember 2007
• Englisch
• Abmessung: 229mm x 152mm x 29mm
• Gewicht: 792g
• ISBN-13: 9780521059831
• ISBN-10: 0521059836
• Artikelnr.: 23453135

Inhaltsangabe

1. Existence and uniqueness for diffusion processes; 2. The basic
properties of diffusion processes; 3. The spectral theory of elliptic
operators on smooth bounded domains; 4. Generalized spectral theory for
operators on arbitrary domains; 5. Applications to the one-dimensional case
and the radially symmetric multi-dimensional case; 6. Criteria for
transience or recurrence and explosion or non-explosion of diffusion
processes; 7. Positive harmonic functions and the Martin boundary: general
theory; 8. Positive harmonic functions and the Martin boundary:
applications to certain classes of operators; 9. Bounded harmonic functions
and applications to Brownian motion and the Laplacian on a manifold of
non-positive curvature.