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Book Partial Differential Equations of Elliptic Type

Download or read book Partial Differential Equations of Elliptic Type written by C. Miranda and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the theory of partial differential equations, the study of elliptic equations occupies a preeminent position, both because of the importance which it assumes for various questions in mathematical physics, and because of the completeness of the results obtained up to the present time. In spite of this, even in the more classical treatises on analysis the theory of elliptic equations has been considered and illustrated only from particular points of view, while the only expositions of the whole theory, the extremely valuable ones by LICHTENSTEIN and AscoLI, have the charac ter of encyclopedia articles and date back to many years ago. Consequently it seemed to me that it would be of some interest to try to give an up-to-date picture of the present state of research in this area in a monograph which, without attaining the dimensions of a treatise, would nevertheless be sufficiently extensive to allow the expo sition, in some cases in summary form, of the various techniques used in the study of these equations.

Book Non Homogeneous Boundary Value Problems and Applications

Download or read book Non Homogeneous Boundary Value Problems and Applications written by Jacques Louis Lions and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Convegno internazionale sulle equazioni lineari alle derivate parziali promosso dalla Universit degli studi di Trieste Trieste 25 28 agosto 1954

Download or read book Convegno internazionale sulle equazioni lineari alle derivate parziali promosso dalla Universit degli studi di Trieste Trieste 25 28 agosto 1954 written by Unione matematica italiana and published by . This book was released on 1955 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Clifford Algebras in Analysis and Related Topics

Download or read book Clifford Algebras in Analysis and Related Topics written by John Ryan and published by CRC Press. This book was released on 2018-03-09 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book contains the most up-to-date and focused description of the applications of Clifford algebras in analysis, particularly classical harmonic analysis. It is the first single volume devoted to applications of Clifford analysis to other aspects of analysis. All chapters are written by world authorities in the area. Of particular interest is the contribution of Professor Alan McIntosh. He gives a detailed account of the links between Clifford algebras, monogenic and harmonic functions and the correspondence between monogenic functions and holomorphic functions of several complex variables under Fourier transforms. He describes the correspondence between algebras of singular integrals on Lipschitz surfaces and functional calculi of Dirac operators on these surfaces. He also discusses links with boundary value problems over Lipschitz domains. Other specific topics include Hardy spaces and compensated compactness in Euclidean space; applications to acoustic scattering and Galerkin estimates; scattering theory for orthogonal wavelets; applications of the conformal group and Vahalen matrices; Newmann type problems for the Dirac operator; plus much, much more! Clifford Algebras in Analysis and Related Topics also contains the most comprehensive section on open problems available. The book presents the most detailed link between Clifford analysis and classical harmonic analysis. It is a refreshing break from the many expensive and lengthy volumes currently found on the subject.

Book Bollettino Della Unione Matematica Italiana

Download or read book Bollettino Della Unione Matematica Italiana written by Unione matematica italiana and published by . This book was released on 1991 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Transactions

Download or read book Transactions written by and published by . This book was released on 1956 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Rendiconti del Seminario matematico della Universit di Padova

Download or read book Rendiconti del Seminario matematico della Universit di Padova written by Università di Padova. Seminario matematico and published by . This book was released on 1967 with total page 874 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Annali di matematica pura ed applicata

Download or read book Annali di matematica pura ed applicata written by and published by . This book was released on 1960 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This journal, the oldest scientific periodical in Italy, publishes articles on virtually any subject of pure and applied mathematics.

Book Rendiconti

Download or read book Rendiconti written by and published by . This book was released on 1960 with total page 1076 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Equazioni alle derivate parziali Teoria elementare e applicazioni

Download or read book Equazioni alle derivate parziali Teoria elementare e applicazioni written by Fabio Scarabotti and published by Società Editrice Esculapio. This book was released on 2020-06-01 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Questo testo è destinato agli studenti dei corsi di laurea in ingegneria e di altri ltri corsi di laurea affini nei quali viene svolta una trattazione elementare delle equazioni differenziali alle derivate parziali. Dopo un capitolo introduttivo e un secondo capitolo dedicato alle serie di Fourier, strumento indispensabile, si passa alle equazioni classiche che intervengono nella Fisica Matematica. Nel terzo capitolo vengono affrontate le equazioni del primo ordine con particolare riguardo a quelle lineari e a quelle non lineari che intervengono nel modello del traffico. Nel quarto capitolo viene affrontata l'equazione delle onde sia attraverso i metodi di rappresentazione integrale delle soluzioni attraverso il metodo di separazione delle variabili. Nel quinto capitolo viene affrontata l'equazione del calore, in questo caso esaminando anche il principio del massimo. Nel sesto capitolo vengono affrontate l'equazione di Laplace e di Poisson, dando anche le nozioni di base sulle funzioni armoniche e sulle funzioni di Green. Il libro si distingue per la trattazione molto elementare, per la ricchezza di esempi e di grafici e per numerosi esercizi, tutti con soluzioni

Book Sistemi di equazioni di tipo ellittico a derivate parziali del primo ordine e propriet delle estremali degli integrali multipli

Download or read book Sistemi di equazioni di tipo ellittico a derivate parziali del primo ordine e propriet delle estremali degli integrali multipli written by Guido Stampacchia and published by . This book was released on 1952 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Sull equazioni lineari alle derivate parziali del 2 ordine tipo ellittico e sopra una classificazione dei sistemi di linee ortogonali che si possono tracciare sopra una superficie

Download or read book Sull equazioni lineari alle derivate parziali del 2 ordine tipo ellittico e sopra una classificazione dei sistemi di linee ortogonali che si possono tracciare sopra una superficie written by Pietro Burgatti and published by . This book was released on 1894* with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: