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[null,"1.","Record Nr.",null,"UNINA990004145240403321"]
[null,null,"Autore",null,"Kestemberg, Evelyne"]
[null,null,"Titolo",null,"La fame e il corpo / Evelyne Kestemberg, Jean Kestemberg, Simone Decobert ; prefazione di Serge Lebovici"]
[null,null,"Pubbl/distr/stampa",null,"Roma, : Astrolabio, 1974"]
[null,null,"Descrizione fisica",null,"264 p. ; 21 cm"]
[null,null,"Collana",null,"Psiche e Coscienza"]
[null,null,"Locazione",null,"FLFBC"]
[null,null,"Collocazione",null,"150/A1 KESE 01"]
[null,null,"Lingua di pubblicazione",null,"Italiano"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,"2.","Record Nr.",null,"UNISA996466585003316"]
[null,null,"Autore",null,"Neuberger J. W (John W.), <1934->"]
[null,null,"Titolo",null,"Sobolev gradients and differential equations / / J. W. Neuberger"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Germany ; ; New York, New York : , : Springer, , [1997]"]
[{"$nulls":4},"©1997"]
[null,null,"ISBN",null,"3-540-69594-X"]
[null,null,"Edizione",null,"[1st ed. 1997.]"]
[null,null,"Descrizione fisica",null,"1 online resource (VIII, 152 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 1670"]
[null,null,"Classificazione",null,"65N30"]
[{"$nulls":4},"35A15"]
[null,null,"Disciplina",null,"515/.353"]
[null,null,"Soggetti",null,"Differential equations - Numerical solutions"]
[{"$nulls":4},"Sobolev gradients"]
[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","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (pages [145]-149) and index."]
[null,null,"Nota di contenuto",null,"Several gradients -- Comparison of two gradients -- Continuous steepest descent in Hilbert space: Linear case -- Continuous steepest descent in Hilbert space: Nonlinear case -- Orthogonal projections, Adjoints and Laplacians -- Introducing boundary conditions -- Newton's method in the context of Sobolev gradients -- Finite difference setting: the inner product case -- Sobolev gradients for weak solutions: Function space case -- Sobolev gradients in non-inner product spaces: Introduction -- The superconductivity equations of Ginzburg-Landau -- Minimal surfaces -- Flow problems and non-inner product Sobolev spaces -- Foliations as a guide to boundary conditions -- Some related iterative methods for differential equations -- A related analytic iteration method -- Steepest descent for conservation equations -- A sample computer code with notes."]
[null,null,null,"Sommario/riassunto","A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to the underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. Equal emphasis is placed on numerical and theoretical matters. Several concrete applications are made to illustrate the method. These applications include (1) Ginzburg-Landau functionals of superconductivity, (2) problems of transonic flow in which type depends locally on nonlinearities, and (3) minimal surface problems. Sobolev gradient constructions rely on a study of orthogonal projections onto graphs of closed densely defined linear "]
[{"$nulls":4},"transformations from one Hilbert space to another. These developments use work of Weyl, von Neumann and Beurling."]