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Record Nr. |
UNINA9910781506703321 |
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Autore |
Picard R. H (Rainer H.) |
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Titolo |
Partial differential equations [[electronic resource] ] : a unified Hilbert space approach / / Rainer Picard, Des McGhee |
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Pubbl/distr/stampa |
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Berlin ; ; New York, : De Gruyter, c2011 |
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ISBN |
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1-283-39993-8 |
9786613399939 |
3-11-025027-6 |
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Descrizione fisica |
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1 online resource (488 p.) |
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Collana |
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De Gruyter expositions in mathematics, , 0938-6572 ; ; 55 |
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Classificazione |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Hilbert space |
Differential equations, Partial |
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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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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Frontmatter -- Preface -- Contents -- Nomenclature -- Chapter 1 Elements of Hilbert Space Theory -- Chapter 2 Sobolev Lattices -- Chapter 3 Linear Partial Differential Equations with Constant Coefficients in Rn+1, n ∈ N -- Chapter 4 Linear Evolution Equations -- Chapter 5 Some Evolution Equations of Mathematical Physics -- Chapter 6 A "Royal Road" to Initial Boundary Value Problems of Mathematical Physics -- Conclusion -- Bibliography -- Index |
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Sommario/riassunto |
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This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev lattice structure, a simple extension of the well-established notion of a chain (or scale) of Hilbert spaces. The focus on a Hilbert space setting (rather than on an apparently more general Banach space) is not a severe constraint, but rather a highly adaptable and suitable approach providing a more transparent framework for presenting the main issues in the development of a solution theory for partial differential equations. In contrast to other texts on partial differential equations, which consider either specific equation types or apply a collection of tools for solving a variety of equations, this book takes a more global point of view by focusing on the issues involved in determining the appropriate functional analytic setting in which a |
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