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Verlag: Boston, Basel, Berlin: Birkhäuser, 1999
ISBN 10: 0817641211 ISBN 13: 9780817641214
Sprache: Englisch
Anbieter: Antiquariat Bernhardt, Kassel, Deutschland
gebundene Ausgabe. Zustand: Sehr gut. Progress in Nonlinear Differential Equations and Their Applications, Volume 37. Zust: Gutes Exemplar. XII, 273 Seiten, Englisch 568g.
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Zustand: New. This text presents a functional analytic method for handling a large class of nonlinear partial differential equations and systems. Results obtained by this method have important applications to the calculus of variations, nonlinear elasticity, problems of phase transitions and optimal design. Series: Progress in Nonlinear Differential Equations and Their Applications. Num Pages: 286 pages, biography. BIC Classification: PBKF; PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 17. Weight in Grams: 586. . 1999. Hardback. . . . . Books ship from the US and Ireland.
Taschenbuch. Zustand: Neu. Implicit Partial Differential Equations | Bernard Dacorogna (u. a.) | Taschenbuch | xiii | Englisch | 2012 | Birkhäuser | EAN 9781461271932 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Nonlinear partial differential equations has become one of the main tools of mod ern mathematical analysis; in spite of seemingly contradictory terminology, the subject of nonlinear differential equations finds its origins in the theory of linear differential equations, and a large part of functional analysis derived its inspiration from the study of linear pdes. In recent years, several mathematicians have investigated nonlinear equations, particularly those of the second order, both linear and nonlinear and either in divergence or nondivergence form. Quasilinear and fully nonlinear differential equations are relevant classes of such equations and have been widely examined in the mathematical literature. In this work we present a new family of differential equations called 'implicit partial differential equations', described in detail in the introduction (c.f. Chapter 1). It is a class of nonlinear equations that does not include the family of fully nonlinear elliptic pdes. We present a new functional analytic method based on the Baire category theorem for handling the existence of almost everywhere solutions of these implicit equations. The results have been obtained for the most part in recent years and have important applications to the calculus of variations, nonlin ear elasticity, problems of phase transitions and optimal design; some results have not been published elsewhere.