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[null,"1.","Record Nr.",null,"UNINA9910781506703321"]
[null,null,"Autore",null,"Picard R. H (Rainer H.)"]
[null,null,"Titolo",null,"Partial differential equations [[electronic resource] ] : a unified Hilbert space approach / / Rainer Picard, Des McGhee"]
[null,null,"Pubbl/distr/stampa",null,"Berlin ; ; New York, : De Gruyter, c2011"]
[null,null,"ISBN",null,"1-283-39993-8"]
[{"$nulls":4},"9786613399939"]
[{"$nulls":4},"3-11-025027-6"]
[null,null,"Descrizione fisica",null,"1 online resource (488 p.)"]
[null,null,"Collana",null,"De Gruyter expositions in mathematics, , 0938-6572 ; ; 55"]
[null,null,"Classificazione",null,"SK 600"]
[null,null,"Disciplina",null,"515/.733"]
[null,null,"Soggetti",null,"Hilbert space"]
[{"$nulls":4},"Differential equations, Partial"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"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"]
[null,null,null,"Sommario/riassunto","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 solution theory can be naturally developed. Applications to many areas of mathematical physics are also presented. The book aims to be largely self-contained. Full proofs to all but the most straightforward "]
[{"$nulls":4},"results are provided, keeping to a minimum references to other literature for essential material. It is therefore highly suitable as a resource for graduate courses and also for researchers, who will find new results for particular evolutionary systems from mathematical physics."]