Non Homogeneous Boundary Value Problems And Applications
DOWNLOAD
Download Non Homogeneous Boundary Value Problems And Applications PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Non Homogeneous Boundary Value Problems And Applications book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Non Homogeneous Boundary Value Problems And Applications
DOWNLOAD
Author : J. L. Lions
language : de
Publisher:
Release Date : 1972
Non Homogeneous Boundary Value Problems And Applications written by J. L. Lions and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
Non Homogeneous Boundary Value Problems And Applications
DOWNLOAD
Author : Jacques Louis Lions
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Non Homogeneous Boundary Value Problems And Applications written by Jacques Louis Lions and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
1. We describe, at first in a very formaI manner, our essential aim. n Let m be an op en subset of R , with boundary am. In m and on am we introduce, respectively, linear differential operators P and Qj' 0 ~ i ~ 'V. By "non-homogeneous boundary value problem" we mean a problem of the following type: let f and gj' 0 ~ i ~ 'v, be given in function space s F and G , F being a space" on m" and the G/ s spaces" on am" ; j we seek u in a function space u/t "on m" satisfying (1) Pu = f in m, (2) Qju = gj on am, 0 ~ i ~ 'v«])). Qj may be identically zero on part of am, so that the number of boundary conditions may depend on the part of am considered 2. We take as "working hypothesis" that, for fEF and gjEG , j the problem (1), (2) admits a unique solution u E U/t, which depends 3 continuously on the data . But for alllinear probIems, there is a large number of choiees for the space s u/t and {F; G} (naturally linke d together). j Generally speaking, our aim is to determine families of spaces 'ft and {F; G}, associated in a "natural" way with problem (1), (2) and con j venient for applications, and also all possible choiees for u/t and {F; G} j in these families.
Non Homogeneous Boundary Value Problems And Applications
DOWNLOAD
Author : Jacques Louis Lions
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Non Homogeneous Boundary Value Problems And Applications written by Jacques Louis Lions and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In Volumes 1 and 2, we studied, for particular classes of systems {[capital italic]P, [capital italic]Q[lowercase italic subscript]j}, problems in classes of Sobolev spaces (in general constructed starting from [capital italic]L2) of positive integer or (by interpolation) non-integer order; then, by transposition, in classes of Sobolev spaces of negative order, until, by passage to the limit on the order, we reached the spaces of distributions of finite order. In this volume, we study the analogous problems in spaces of infinitely differentiable or analytic functions or of Gevrey-type functions and by duality, in spaces of distributions, of analytic functionals or of Gevrey-type ultra-distributions. In this manner, we obtain a clear vision (at least we hope so) of the various possible formulations of the boundary value problems for the systems {[capital italic]P, [capital italic]Q[lowercase italic subscript]j} considered here.
Non Homogeneous Boundary Value Problems And Applications
DOWNLOAD
Author : Jacques Louis Lions
language : en
Publisher:
Release Date : 1972
Non Homogeneous Boundary Value Problems And Applications written by Jacques Louis Lions and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Boundary value problems categories.
Non Homogeneous Boundary Value Problems And Applications Vol 1 3
DOWNLOAD
Author : JL. LIONS
language : en
Publisher:
Release Date : 1972
Non Homogeneous Boundary Value Problems And Applications Vol 1 3 written by JL. LIONS and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Boundary value problems categories.
Non Homogeneous Boundary Value Problems And Applications
DOWNLOAD
Author : Jacques Louis Lions
language : en
Publisher: Springer
Release Date : 1972-04-24
Non Homogeneous Boundary Value Problems And Applications written by Jacques Louis Lions and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-04-24 with Mathematics categories.
I. In this second volume, we continue at first the study of non homogeneous boundary value problems for particular classes of evolu tion equations. 1 In Chapter 4 , we study parabolic operators by the method of Agranovitch-Vishik [lJ; this is step (i) (Introduction to Volume I, Section 4), i.e. the study of regularity. The next steps: (ii) transposition, (iii) interpolation, are similar in principle to those of Chapter 2, but involve rather considerable additional technical difficulties. In Chapter 5, we study hyperbolic operators or operators well defined in thesense of Petrowski or Schroedinger. Our regularity results (step (i)) seem to be new. Steps (ii) and (iii) are all3.logous to those of the parabolic case, except for certain technical differences. In Chapter 6, the results of Chapter'> 4 and 5 are applied to the study of optimal control problems for systems governed by evolution equations, when the control appears in the boundary conditions (so that non-homogeneous boundary value problems are the basic tool of this theory). Another type of application, to the characterization of "all" well-posed problems for the operators in question, is given in the Ap pendix. Still other applications, for example to numerical analysis, will be given in Volume 3.
Non Homogeneous Boundary Value Problems And Applications
DOWNLOAD
Author : Jacques Louis Lions
language : en
Publisher: Springer
Release Date : 2011-11-15
Non Homogeneous Boundary Value Problems And Applications written by Jacques Louis Lions and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-15 with Mathematics categories.
1. We describe, at first in a very formaI manner, our essential aim. n Let m be an op en subset of R , with boundary am. In m and on am we introduce, respectively, linear differential operators P and Qj' 0 ~ i ~ 'V. By "non-homogeneous boundary value problem" we mean a problem of the following type: let f and gj' 0 ~ i ~ 'v, be given in function space s F and G , F being a space" on m" and the G/ s spaces" on am" ; j we seek u in a function space u/t "on m" satisfying (1) Pu = f in m, (2) Qju = gj on am, 0 ~ i ~ 'v«])). Qj may be identically zero on part of am, so that the number of boundary conditions may depend on the part of am considered 2. We take as "working hypothesis" that, for fEF and gjEG , j the problem (1), (2) admits a unique solution u E U/t, which depends 3 continuously on the data . But for alllinear probIems, there is a large number of choiees for the space s u/t and {F; G} (naturally linke d together). j Generally speaking, our aim is to determine families of spaces 'ft and {F; G}, associated in a "natural" way with problem (1), (2) and con j venient for applications, and also all possible choiees for u/t and {F; G} j in these families.
Boundary Value Problems For Analytic Functions
DOWNLOAD
Author : Jian-Ke Lu
language : en
Publisher: World Scientific
Release Date : 1993
Boundary Value Problems For Analytic Functions written by Jian-Ke Lu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
This book deals with boundary value problems for analytic functions with applications to singular integral equations. New and simpler proofs of certain classical results such as the Plemelj formula, the Privalov theorem and the Poincar-Bertrand formula are given. Nearly one third of this book contains the author's original works, most of which have not been published in English before and, hence, were previously unknown to most readers in the world.It consists of 7 chapters together with an appendix: Chapter I describes the basic knowledge on Cauchy-type integrals and Cauchy principal value integrals; Chapters II and III study, respectively, fundamental boundary value problems and their applications to singular integral equations for closed contours; Chapters IV and V discuss the same problems for curves with nodes (including open arcs); Chaper VI deals with similar problems for systems of functions; Chapter VII is concerned with some miscellaneous problems and the Appendix contains some basic results on Fredholm integral equations. In most sections, there are carefully selected sets of exercises, some of which supplement the text of the sections; answers/hints are also given for some of these exercises.For graduate students or seniors, all the 7 chapters can be used for a full year course, while the first 3 chapters may be used for a one-semester course.
Non Homogeneous Boundary Value Problems And Applications By J L Lions And E Magenes
DOWNLOAD
Author : Jacques Louis Lions
language : en
Publisher:
Release Date : 1972
Non Homogeneous Boundary Value Problems And Applications By J L Lions And E Magenes written by Jacques Louis Lions and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Boundary value problems categories.