Format:
1 Online-Ressource (xvi, 379 Seiten).
ISBN:
978-0-511-54321-0
Series Statement:
London Mathematical Society lecture note series 293
Note:
Auf der Frontpage: "Online publication date: October 2009"
,
Theory in Spaces of Continuous Functions
,
Gaussian measures
,
Introduction and preliminaries
,
Definition and first properties of Gaussian measures
,
Measures in metric spaces
,
Computation of some Gaussian integrals
,
The reproducing kernel
,
Absolute continuity of Gaussian measures
,
Equivalence of product measures in R[superscript [infinity]
,
The Cameron-Martin formula
,
The Feldman-Hajek theorem
,
Brownian motion
,
Spaces of continuous functions
,
Preliminary results
,
Approximation of continuous functions
,
Interpolation spaces
,
Interpolation between UC[subscript b](H) and UC[superscript 1 subscript b](H)
,
Interpolatory estimates
,
Additional interpolation results
,
The heat equation
,
Strict solutions
,
Regularity of generalized solutions
,
Q-derivatives
,
Q-derivatives of generalized solutions
,
Comments on the Gross Laplacian
,
The heat semigroup and its generator
,
Poisson's equation
,
Existence and uniqueness results
,
Regularity of solutions
,
The equation [Delta subscript Q]u = g
,
The Liouville theorem
,
Elliptic equations with variable coefficients
,
Small perturbations
,
Large perturbations
,
Ornstein-Uhlenbeck equations
,
Existence and uniqueness of strict solutions
,
Classical solutions
,
The Ornstein-Uhlenbeck semigroup
,
[pi]-Convergence
,
Properties of the [pi]-semigroup (R[subscript t])
,
The infinitesimal generator
,
Elliptic equations
,
Schauder estimates
,
Perturbation results for parabolic equations
Additional Edition:
Erscheint auch als Druck-Ausgabe, Paperback ISBN 978-0-521-77729-2
Additional Edition:
Erscheint auch als Druck-Ausgabe, Hardcover ISBN 978-0-511-54321-0
Language:
English
Subjects:
Mathematics
Keywords:
Partielle Differentialgleichung
;
Ordnung 2
;
Hilbert-Raum
DOI:
10.1017/CBO9780511543210
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
https://doi.org/10.1017/CBO9780511543210
Author information:
Zabczyk, Jerzy, 1941-
Author information:
Da Prato, Giuseppe, 1936-2023,
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