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Record Nr. |
UNINA9910450318903321 |
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Autore |
Da Prato Giuseppe |
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Titolo |
Second order partial differential equations in Hilbert spaces / / Giuseppe Da Prato, Jerzy Zabczyk [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2002 |
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ISBN |
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1-107-11991-X |
1-280-42958-5 |
9786610429585 |
0-511-17727-5 |
0-511-15823-8 |
0-511-32567-3 |
0-511-54321-2 |
0-511-04995-1 |
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Descrizione fisica |
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1 online resource (xvi, 379 pages) : digital, PDF file(s) |
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Collana |
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London Mathematical Society lecture note series ; ; 293 |
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Disciplina |
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Soggetti |
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Differential equations, Partial |
Hilbert space |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references (p. 358-375) and index. |
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Nota di contenuto |
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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 |
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