This book presents the basic theory of the symmetry of solutions to second-order elliptic partial differential equations by means of the maximum principle. It proceeds from elementary fac… Mehr…
This book presents the basic theory of the symmetry of solutions to second-order elliptic partial differential equations by means of the maximum principle. It proceeds from elementary facts about the linear case to recent results about positive solutions of nonlinear elliptic equations. Gidas, Ni and Nirenberg, building on the work of Alexandrov and Serrin, have shown that the shape of the set on which such elliptic equations are solved has a strong effect on the form of positive solutions. In particular, if the equation and its boundary condition allow spherically symmetric solutions, then, remarkably, all positive solutions are spherically symmetric. These recent and important results are presented with minimal prerequisites, in a style suited to graduate students. Two long appendices give a leisurely account of basic facts about the Laplace and Poisson equations, and there is an abundance of exercises, with detailed hints, some of which contain new results. | An Introduction to Maximum Principles and Symmetry in Elliptic Problems by L. E. Fraenkel Paperback | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics > Mathematical Analysis P10117, L. E. Fraenkel<
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This book presents the basic theory of the symmetry of solutions to second-order elliptic partial differential equations by means of the maximum principle. It proceeds from elementary fac… Mehr…
This book presents the basic theory of the symmetry of solutions to second-order elliptic partial differential equations by means of the maximum principle. It proceeds from elementary facts about the linear case to recent results about positive solutions of nonlinear elliptic equations. Gidas, Ni and Nirenberg, building on the work of Alexandrov and Serrin, have shown that the shape of the set on which such elliptic equations are solved has a strong effect on the form of positive solutions. In particular, if the equation and its boundary condition allow spherically symmetric solutions, then, remarkably, all positive solutions are spherically symmetric. These recent and important results are presented with minimal prerequisites, in a style suited to graduate students. Two long appendices give a leisurely account of basic facts about the Laplace and Poisson equations, and there is an abundance of exercises, with detailed hints, some of which contain new results. Books > Science & Nature > Math & Physics > Mathematics > Mathematical Analysis List_Books, [PU: Cambridge University Press]<
Indigo.ca
new in stock. Versandkosten:zzgl. Versandkosten. Details...
(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
Paperback, [PU: Cambridge University Press], The author of this 2000 volume proceeds from elementary facts about the linear case to recent results about positive solutions of non-linear e… Mehr…
Paperback, [PU: Cambridge University Press], The author of this 2000 volume proceeds from elementary facts about the linear case to recent results about positive solutions of non-linear elliptic equations, with minimal prerequisites in a style suited to graduate students. There is a plentiful supply of exercises, with detailed hints, some of which contain new results., Differential Calculus & Equations<
This book presents the basic theory of the symmetry of solutions to second-order elliptic partial differential equations by means of the maximum principle. It proceeds from elementary fac… Mehr…
This book presents the basic theory of the symmetry of solutions to second-order elliptic partial differential equations by means of the maximum principle. It proceeds from elementary facts about the linear case to recent results about positive solutions of nonlinear elliptic equations. Gidas, Ni and Nirenberg, building on the work of Alexandrov and Serrin, have shown that the shape of the set on which such elliptic equations are solved has a strong effect on the form of positive solutions. In particular, if the equation and its boundary condition allow spherically symmetric solutions, then, remarkably, all positive solutions are spherically symmetric. These recent and important results are presented with minimal prerequisites, in a style suited to graduate students. Two long appendices give a leisurely account of basic facts about the Laplace and Poisson equations, and there is an abundance of exercises, with detailed hints, some of which contain new results. | An Introduction to Maximum Principles and Symmetry in Elliptic Problems by L. E. Fraenkel Paperback | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics > Mathematical Analysis P10117, L. E. Fraenkel<
This book presents the basic theory of the symmetry of solutions to second-order elliptic partial differential equations by means of the maximum principle. It proceeds from elementary fac… Mehr…
This book presents the basic theory of the symmetry of solutions to second-order elliptic partial differential equations by means of the maximum principle. It proceeds from elementary facts about the linear case to recent results about positive solutions of nonlinear elliptic equations. Gidas, Ni and Nirenberg, building on the work of Alexandrov and Serrin, have shown that the shape of the set on which such elliptic equations are solved has a strong effect on the form of positive solutions. In particular, if the equation and its boundary condition allow spherically symmetric solutions, then, remarkably, all positive solutions are spherically symmetric. These recent and important results are presented with minimal prerequisites, in a style suited to graduate students. Two long appendices give a leisurely account of basic facts about the Laplace and Poisson equations, and there is an abundance of exercises, with detailed hints, some of which contain new results. Books > Science & Nature > Math & Physics > Mathematics > Mathematical Analysis List_Books, [PU: Cambridge University Press]<
Paperback, [PU: Cambridge University Press], The author of this 2000 volume proceeds from elementary facts about the linear case to recent results about positive solutions of non-linear e… Mehr…
Paperback, [PU: Cambridge University Press], The author of this 2000 volume proceeds from elementary facts about the linear case to recent results about positive solutions of non-linear elliptic equations, with minimal prerequisites in a style suited to graduate students. There is a plentiful supply of exercises, with detailed hints, some of which contain new results., Differential Calculus & Equations<
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Advanced text, originally published in 2000, on differential equations, with plentiful supply of exercises all with detailed hints.
Detailangaben zum Buch - An Introduction to Maximum Principles and Symmetry in Elliptic Problems
EAN (ISBN-13): 9780521172783 ISBN (ISBN-10): 0521172780 Taschenbuch Erscheinungsjahr: 2011 Herausgeber: Cambridge University Press 340 Seiten Gewicht: 0,517 kg Sprache: eng/Englisch
Buch in der Datenbank seit 2011-02-08T00:34:57+01:00 (Berlin) Detailseite zuletzt geändert am 2023-08-08T21:53:54+02:00 (Berlin) ISBN/EAN: 0521172780
ISBN - alternative Schreibweisen: 0-521-17278-0, 978-0-521-17278-3 Alternative Schreibweisen und verwandte Suchbegriffe: Autor des Buches: fränkel, fraenkel, alexandrov, nirenberg jujda Titel des Buches: elliptic, maximum, principles mathematics
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