An Introduction to Maximum Principles and Symmetry in Elliptic Problems (Cambridge Tracts in Mathematics) - Paperback
ISBN: 0521172780
[SR: 1737623], Paperback, [EAN: 9780521172783], Cambridge University Press, Cambridge University Press, Book, [PU: Cambridge University Press], Cambridge University Press, 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., 13911, Differential Equations, 226699, Applied, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13955, Mathematical Analysis, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 468218, Mathematics, 491542, Algebra & Trigonometry, 491544, Calculus, 491546, Geometry, 491548, Statistics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books
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L. E. Fraenkel:
An Introduction to Maximum Principles and Symmetry in Elliptic Problems (Cambridge Tracts in Mathematics) - PaperbackISBN: 0521172780
[SR: 1737623], Paperback, [EAN: 9780521172783], Cambridge University Press, Cambridge University Press, Book, [PU: Cambridge University Press], Cambridge University Press, 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., 13911, Differential Equations, 226699, Applied, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13955, Mathematical Analysis, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 468218, Mathematics, 491542, Algebra & Trigonometry, 491544, Calculus, 491546, Geometry, 491548, Statistics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books
Amazon.com |
ISBN: 9780521172783
ID: 9780521172783
An Introduction to Maximum Principles and Symmetry in Elliptic Problems Introduction-to-Maximum-Principles-and-Symmetry-in-Elliptic-Problems~~L-E-Fraenkel Science/Tech>Mathematics>Mathematics Paperback, Cambridge University Press
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2000, ISBN: 9780521172783
Paperback, [PU: CAMBRIDGE UNIVERSITY PRESS], Advanced text, originally published in 2000, on differential equations, with plentiful supply of exercises all with detailed hints., Differential Calculus & Equations
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Title: | An Introduction to Maximum Principles and Symmetry in Elliptic Problems |
ISBN: | 0521172780 |
Details of the book - An Introduction to Maximum Principles and Symmetry in Elliptic Problems
EAN (ISBN-13): 9780521172783
ISBN (ISBN-10): 0521172780
Paperback
Publishing year: 2011
Publisher: CAMBRIDGE UNIV PR
340 Pages
Weight: 0,517 kg
Language: eng/Englisch
Book in our database since 08.02.2011 00:34:57
Book found last time on 11.09.2016 14:28:56
ISBN/EAN: 0521172780
ISBN - alternate spelling:
0-521-17278-0, 978-0-521-17278-3
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