Author: Gilbert
Publisher: Academic Press
ISBN: 0080955622
Category : Computers
Languages : en
Pages : 310

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Book Description
Function Theoretic Methods in Partial Differential Equations

Author: V. E. Meister
Publisher: Springer
ISBN: 3540375368
Category : Mathematics
Languages : de
Pages : 540

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Book Description

Author: Robert P. Gilbert
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 311

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Book Description

Author: V. E. Meister
Publisher:
ISBN: 9783662196687
Category :
Languages : en
Pages : 544

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Book Description

Author: V. Erhard Meister
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 520

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Book Description

Author: Françoise Demengel
Publisher: Springer Science & Business Media
ISBN: 1447128079
Category : Mathematics
Languages : en
Pages : 465

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Book Description
The theory of elliptic boundary problems is fundamental in analysis and the role of spaces of weakly differentiable functions (also called Sobolev spaces) is essential in this theory as a tool for analysing the regularity of the solutions. This book offers on the one hand a complete theory of Sobolev spaces, which are of fundamental importance for elliptic linear and non-linear differential equations, and explains on the other hand how the abstract methods of convex analysis can be combined with this theory to produce existence results for the solutions of non-linear elliptic boundary problems. The book also considers other kinds of functional spaces which are useful for treating variational problems such as the minimal surface problem. The main purpose of the book is to provide a tool for graduate and postgraduate students interested in partial differential equations, as well as a useful reference for researchers active in the field. Prerequisites include a knowledge of classical analysis, differential calculus, Banach and Hilbert spaces, integration and the related standard functional spaces, as well as the Fourier transformation on the Schwartz space. There are complete and detailed proofs of almost all the results announced and, in some cases, more than one proof is provided in order to highlight different features of the result. Each chapter concludes with a range of exercises of varying levels of difficulty, with hints to solutions provided for many of them.

Author: R.P. Gilbert
Publisher: Springer
ISBN: 3540379533
Category : Mathematics
Languages : en
Pages : 405

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Book Description
Primarily these lectures are a report on recent work by the Indiana University group working on Function theoretic methods as applied to the theory of partial differential equations.

Author: George F. Carrier
Publisher: Academic Press
ISBN: 1483259161
Category : Mathematics
Languages : en
Pages : 333

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Book Description
Partial Differential Equations: Theory and Technique provides formal definitions, notational conventions, and a systematic discussion of partial differential equations. The text emphasizes the acquisition of practical technique in the use of partial differential equations. The book contains discussions on classical second-order equations of diffusion, wave motion, first-order linear and quasi-linear equations, and potential theory. Certain chapters elaborate Green's functions, eigenvalue problems, practical approximation techniques, perturbations (regular and singular), difference equations, and numerical methods. Students of mathematics will find the book very useful.

Author: K. W. Bauer
Publisher: Springer
ISBN: 3540392114
Category : Mathematics
Languages : en
Pages : 264

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Book Description

Author: R. P. Gilbert
Publisher:
ISBN: 9783662187807
Category :
Languages : en
Pages : 412

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Book Description