Verfügbarkeit: Second order partial differential equations in Hilbert spaces

Second order partial differential equations in Hilbert spaces:

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Bibliographische Detailangaben
1. Verfasser:	Da Prato, Giuseppe 1936-2023 (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge Cambridge University Press 2002
Schriftenreihe:	London Mathematical Society lecture note series 293
Schlagworte:	Differential equations, Partial Hilbert space Partielle Differentialgleichung Ordnung 2 Hilbert-Raum
Online-Zugang:	BSB01 FHN01 Volltext
Beschreibung:	Auf der Frontpage: "Online publication date: October 2009"
Beschreibung:	1 Online-Ressource (xvi, 379 Seiten)
ISBN:	9780511543210
DOI:	10.1017/CBO9780511543210

Internformat

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505	8	0	\|t Theory in Spaces of Continuous Functions \|t Gaussian measures \|t Introduction and preliminaries \|t Definition and first properties of Gaussian measures \|t Measures in metric spaces \|t Gaussian measures \|t Computation of some Gaussian integrals \|t The reproducing kernel \|t Absolute continuity of Gaussian measures \|t Equivalence of product measures in R[superscript [infinity] \|t The Cameron-Martin formula \|t The Feldman-Hajek theorem \|t Brownian motion \|t Spaces of continuous functions \|t Preliminary results \|t Approximation of continuous functions \|t Interpolation spaces \|t Interpolation between UC[subscript b](H) and UC[superscript 1 subscript b](H) \|t Interpolatory estimates \|t Additional interpolation results \|t The heat equation \|t Strict solutions \|t Regularity of generalized solutions \|t Q-derivatives \|t Q-derivatives of generalized solutions \|t Comments on the Gross Laplacian \|t The heat semigroup and its generator \|t Poisson's equation \|t Existence and uniqueness results \|t Regularity of solutions \|t The equation [Delta subscript Q]u = g \|t The Liouville theorem \|t Elliptic equations with variable coefficients \|t Small perturbations \|t Large perturbations \|t Ornstein-Uhlenbeck equations \|t Existence and uniqueness of strict solutions \|t Classical solutions \|t The Ornstein-Uhlenbeck semigroup \|t [pi]-Convergence \|t Properties of the [pi]-semigroup (R[subscript t]) \|t The infinitesimal generator \|t Elliptic equations \|t Schauder estimates \|t The Liouville theorem \|t Perturbation results for parabolic equations
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Datensatz im Suchindex

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author	Da Prato, Giuseppe 1936-2023
author_GND	(DE-588)121352641 (DE-588)12135234X
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contents	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
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indexdate	2024-07-10T07:39:17Z
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isbn	9780511543210
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spelling	Da Prato, Giuseppe 1936-2023 Verfasser (DE-588)121352641 aut Second order partial differential equations in Hilbert spaces Giuseppe Da Prato (Scuola Normale Superiore di Pisa), Jerzy Zabczyk (Polish Academy of Sciences, Warsaw) Cambridge Cambridge University Press 2002 © 2004 1 Online-Ressource (xvi, 379 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 293 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 Gaussian measures 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 The Liouville theorem Perturbation results for parabolic equations Differential equations, Partial Hilbert space Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Ordnung 2 (DE-588)4350619-7 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Ordnung 2 (DE-588)4350619-7 s Hilbert-Raum (DE-588)4159850-7 s DE-604 Zabczyk, Jerzy 1941- Sonstige (DE-588)12135234X oth Erscheint auch als Druck-Ausgabe, Paperback 978-0-521-77729-2 Erscheint auch als Druck-Ausgabe, Hardcover 978-0-511-54321-0 London Mathematical Society lecture note series 293 (DE-604)BV044784209 293 https://doi.org/10.1017/CBO9780511543210 Verlag URL des Erstveröffentlichers Volltext
spellingShingle	Da Prato, Giuseppe 1936-2023 Second order partial differential equations in Hilbert spaces London Mathematical Society lecture note series 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 Differential equations, Partial Hilbert space Partielle Differentialgleichung (DE-588)4044779-0 gnd Ordnung 2 (DE-588)4350619-7 gnd Hilbert-Raum (DE-588)4159850-7 gnd
subject_GND	(DE-588)4044779-0 (DE-588)4350619-7 (DE-588)4159850-7
title	Second order partial differential equations in Hilbert spaces
title_alt	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
title_auth	Second order partial differential equations in Hilbert spaces
title_exact_search	Second order partial differential equations in Hilbert spaces
title_full	Second order partial differential equations in Hilbert spaces Giuseppe Da Prato (Scuola Normale Superiore di Pisa), Jerzy Zabczyk (Polish Academy of Sciences, Warsaw)
title_fullStr	Second order partial differential equations in Hilbert spaces Giuseppe Da Prato (Scuola Normale Superiore di Pisa), Jerzy Zabczyk (Polish Academy of Sciences, Warsaw)
title_full_unstemmed	Second order partial differential equations in Hilbert spaces Giuseppe Da Prato (Scuola Normale Superiore di Pisa), Jerzy Zabczyk (Polish Academy of Sciences, Warsaw)
title_short	Second order partial differential equations in Hilbert spaces
title_sort	second order partial differential equations in hilbert spaces
topic	Differential equations, Partial Hilbert space Partielle Differentialgleichung (DE-588)4044779-0 gnd Ordnung 2 (DE-588)4350619-7 gnd Hilbert-Raum (DE-588)4159850-7 gnd
topic_facet	Differential equations, Partial Hilbert space Partielle Differentialgleichung Ordnung 2 Hilbert-Raum
url	https://doi.org/10.1017/CBO9780511543210
volume_link	(DE-604)BV044784209
work_keys_str_mv	AT dapratogiuseppe secondorderpartialdifferentialequationsinhilbertspaces AT zabczykjerzy secondorderpartialdifferentialequationsinhilbertspaces

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