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Author : P. W. Schaefer
Publisher : Longman
ISBN 13 :
Total Pages : 250 pages
Book Rating : 4.:/5 (5 download)
Download or read book Maximum Principles and Eigenvalue Problems in Partial Differential Equations written by P. W. Schaefer and published by Longman. This book was released on 1988 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Murray H. Protter
Publisher : Springer Science & Business Media
ISBN 13 : 1461252822
Total Pages : 271 pages
Book Rating : 4.4/5 (612 download)
Download or read book Maximum Principles in Differential Equations written by Murray H. Protter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maximum Principles are central to the theory and applications of second-order partial differential equations and systems. This self-contained text establishes the fundamental principles and provides a variety of applications.
Author : Philip W. Schaefer
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (227 download)
Download or read book Conference on Maximum Principles and Eigenvalue Problems in Partial Differential Equations written by Philip W. Schaefer and published by . This book was released on 1987 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: New results in the extension of maximum principles to systems using best possible estimates were the high light topic. These apply to equations in continuum mechanics.
Author : Yihong Du
Publisher : World Scientific
ISBN 13 : 9812774440
Total Pages : 202 pages
Book Rating : 4.8/5 (127 download)
Download or read book Order Structure and Topological Methods in Nonlinear Partial Differential Equations written by Yihong Du and published by World Scientific. This book was released on 2006 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems. The maximum principle is revisited through the use of the Krein-Rutman theorem and the principal eigenvalues. Its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. The upper and lower solution method, especially its weak version, is presented in its most up-to-date form with enough generality to cater for wide applications. Recent progress on the boundary blow-up problems and their applications are discussed, as well as some new symmetry and Liouville type results over half and entire spaces. Some of the results included here are published for the first time. Sample Chapter(s). Chapter 1: Krein-Rutman Theorem and the Principal Eigenvalue (128 KB). Contents: KreinOCoRutman Theorem and the Principal Eigenvalue; Maximum Principles Revisited; The Moving Plane Method; The Method of Upper and Lower Solutions; The Logistic Equation; Boundary Blow-Up Problems; Symmetry and Liouville Type Results Over Half and Entire Spaces. Readership: Researchers and postgraduate students in partial differential equations."
Author : Yihong Du
Publisher : World Scientific
ISBN 13 : 9814478857
Total Pages : 202 pages
Book Rating : 4.8/5 (144 download)
Download or read book Order Structure And Topological Methods In Nonlinear Partial Differential Equations: Vol. 1: Maximum Principles And Applications written by Yihong Du and published by World Scientific. This book was released on 2006-01-12 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems.The maximum principle is revisited through the use of the Krein-Rutman theorem and the principal eigenvalues. Its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. The upper and lower solution method, especially its weak version, is presented in its most up-to-date form with enough generality to cater for wide applications. Recent progress on the boundary blow-up problems and their applications are discussed, as well as some new symmetry and Liouville type results over half and entire spaces. Some of the results included here are published for the first time.
Author : Patrizia Pucci
Publisher : Springer Science & Business Media
ISBN 13 : 3764381450
Total Pages : 240 pages
Book Rating : 4.7/5 (643 download)
Download or read book The Maximum Principle written by Patrizia Pucci and published by Springer Science & Business Media. This book was released on 2007-12-23 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maximum principles are bedrock results in the theory of second order elliptic equations. This principle, simple enough in essence, lends itself to a quite remarkable number of subtle uses when combined appropriately with other notions. Intended for a wide audience, the book provides a clear and comprehensive explanation of the various maximum principles available in elliptic theory, from their beginning for linear equations to recent work on nonlinear and singular equations.
Author : Michel Chipot
Publisher : Elsevier
ISBN 13 : 9780080463827
Total Pages : 630 pages
Book Rating : 4.4/5 (638 download)
Download or read book Handbook of Differential Equations: Stationary Partial Differential Equations written by Michel Chipot and published by Elsevier. This book was released on 2006-08-08 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is volume III in a series devoted to stationary partial differential quations. Similarly as volumes I and II, it is a collection of self contained state-of-the-art surveys written by well known experts in the field. The topics covered by this handbook include singular and higher order equations, problems near critically, problems with anisotropic nonlinearities, dam problem, T-convergence and Schauder-type estimates. These surveys will be useful for both beginners and experts and speed up the progress of corresponding (rapidly developing and fascinating) areas of mathematics. Key features: - Written by well-known experts in the field - Self-contained volume in series covering one of the most rapid developing topics in mathematics - Written by well-known experts in the field - Self-contained volume in series covering one of the most rapid developing topics in mathematics
Author : Karl E. Gustafson
Publisher : Courier Corporation
ISBN 13 : 0486140873
Total Pages : 500 pages
Book Rating : 4.4/5 (861 download)
Download or read book Introduction to Partial Differential Equations and Hilbert Space Methods written by Karl E. Gustafson and published by Courier Corporation. This book was released on 2012-04-26 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
Author : Emmanuele DiBenedetto
Publisher : Springer Science & Business Media
ISBN 13 : 1489928405
Total Pages : 430 pages
Book Rating : 4.4/5 (899 download)
Download or read book Partial Differential Equations written by Emmanuele DiBenedetto and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is meant to be a self-contained, elementary introduction to Partial Differential Equations, assuming only advanced differential calculus and some basic LP theory. Although the basic equations treated in this book, given its scope, are linear, we have made an attempt to approach them from a nonlinear perspective. Chapter I is focused on the Cauchy-Kowaleski theorem. We discuss the notion of characteristic surfaces and use it to classify partial differential equations. The discussion grows out of equations of second order in two variables to equations of second order in N variables to p.d.e.'s of any order in N variables. In Chapters II and III we study the Laplace equation and connected elliptic theory. The existence of solutions for the Dirichlet problem is proven by the Perron method. This method clarifies the structure ofthe sub(super)harmonic functions and is closely related to the modern notion of viscosity solution. The elliptic theory is complemented by the Harnack and Liouville theorems, the simplest version of Schauder's estimates and basic LP -potential estimates. Then, in Chapter III, the Dirichlet and Neumann problems, as well as eigenvalue problems for the Laplacian, are cast in terms of integral equations. This requires some basic facts concerning double layer potentials and the notion of compact subsets of LP, which we present.
Author : O. A. Oleĭnik
Publisher : Cambridge University Press
ISBN 13 : 9780521485371
Total Pages : 218 pages
Book Rating : 4.4/5 (853 download)
Download or read book Some Asymptotic Problems in the Theory of Partial Differential Equations written by O. A. Oleĭnik and published by Cambridge University Press. This book was released on 1996-03-21 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1993, Professor Oleinik was invited to give a series of lectures about her work in the area of partial differential equations. This book contains those lectures, and more.
Author : Yehuda Pinchover
Publisher : Cambridge University Press
ISBN 13 : 9780521848862
Total Pages : 392 pages
Book Rating : 4.8/5 (488 download)
Download or read book An Introduction to Partial Differential Equations written by Yehuda Pinchover and published by Cambridge University Press. This book was released on 2005-05-12 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete introduction to partial differential equations, this is a textbook aimed at students of mathematics, physics and engineering.
Author : Walter A. Strauss
Publisher : John Wiley & Sons
ISBN 13 : 0470054565
Total Pages : 467 pages
Book Rating : 4.4/5 (7 download)
Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Author : Jürgen Jost
Publisher : Springer Science & Business Media
ISBN 13 : 0387493190
Total Pages : 368 pages
Book Rating : 4.3/5 (874 download)
Download or read book Partial Differential Equations written by Jürgen Jost and published by Springer Science & Business Media. This book was released on 2010-04-30 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an ideal introduction to the theory of partial differential equations. It focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view towards nonlinear problems. It also develops the main methods for obtaining estimates for solutions of elliptic equations: Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. It also explores connections between elliptic, parabolic, and hyperbolic equations as well as the connection with Brownian motion and semigroups. This second edition features a new chapter on reaction-diffusion equations and systems.
Author : P. R. Garabedian
Publisher : American Mathematical Society
ISBN 13 : 1470475057
Total Pages : 686 pages
Book Rating : 4.4/5 (74 download)
Download or read book Partial Differential Equations written by P. R. Garabedian and published by American Mathematical Society. This book was released on 2023-10-19 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: From a review of the original edition: This book is primarily a text for a graduate course in partial differential equations, although the later chapters are devoted to special topics not ordinarily covered in books in this field … [T]he author has made use of an interesting combination of classical and modern analysis in his proofs … Because of the author's emphasis on constructive methods for solving problems which are of physical interest, his book will likely be as welcome to the engineer and the physicist as to the mathematician … The author and publisher are to be complimented on the general appearance of the book. —Mathematical Reviews This book is a gem. It fills the gap between the standard introductory material on PDEs that an undergraduate is likely to encounter after a good ODE course (separation of variables, the basics of the second-order equations from mathematical physics) and the advanced methods (such as Sobolev spaces and fixed point theorems) that one finds in modern books. Although this is not designed as a textbook for applied mathematics, the approach is strongly informed by applications. For instance, there are many existence and uniqueness results, but they are usually approached via very concrete techniques. The text contains the standard topics that one expects in an intermediate PDE course: the Dirichlet and Neumann problems, Cauchy's problem, characteristics, the fundamental solution, PDEs in the complex domain, plus a chapter on finite differences, on nonlinear fluid mechanics, and another on integral equations. It is an excellent text for advanced undergraduates or beginning graduate students in mathematics or neighboring fields, such as engineering and physics, where PDEs play a central role.
Author : Abdelmoujib Benkirane
Publisher : CRC Press
ISBN 13 : 9780203910108
Total Pages : 316 pages
Book Rating : 4.9/5 (11 download)
Download or read book Partial Differential Equations written by Abdelmoujib Benkirane and published by CRC Press. This book was released on 2002-05-06 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This impressive compilation of the material presented at the International Conference on Partial Differential Equations held in Fez, Morocco, represents an integrated discussion of all major topics in the area of partial differential equations--highlighting recent progress and new trends for real-world applications.
Author : Jaak Peetre
Publisher :
ISBN 13 :
Total Pages : 342 pages
Book Rating : 4.:/5 (31 download)
Download or read book Maximum Principle for Non-hyperbolic Equations written by Jaak Peetre and published by . This book was released on 1962 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. Barbu
Publisher : Birkhäuser
ISBN 13 : 303488625X
Total Pages : 344 pages
Book Rating : 4.0/5 (348 download)
Download or read book Optimization, Optimal Control and Partial Differential Equations written by V. Barbu and published by Birkhäuser. This book was released on 2013-03-07 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects research papers presented in the First Franco Romanian Conference on Optimization, Optimal Control and Partial Differential Equations held at lasi on 7-11 september 1992. The aim and the underlying idea of this conference was to take advantage of the new SOCial developments in East Europe and in particular in Romania to stimulate the scientific contacts and cooperation between French and Romanian mathematicians and teams working in the field of optimization and partial differential equations. This volume covers a large spectrum of problems and result developments in this field in which most of the participants have brought notable contributions. The following topics are discussed in the contributions presented in this volume. 1 -Variational methods in mechanics and physical models Here we mention the contributions of D. Cioranescu. P. Donato and H.I. Ene (fluid flows in dielectric porous media). R. Stavre (the impact of a jet with two fluids on a porous wall). C. Lefter and D. Motreanu (nonlinear eigenvalue problems with discontinuities). I. Rus (maximum principles for elliptic systems). and on asymptotic XII properties of solutions of evolution equations (R Latcu and M. Megan. R Luca and R Morozanu. R Faure). 2 -The controllabillty of Inflnlte dimensional and distributed parameter systems with the contribution of P. Grisvard (singularities and exact controllability for hyperbolic systems). G. Geymonat. P. Loreti and V. Valente (exact controllability of a shallow shell model). C.
