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Author: T. Sato (Matemático)
Publisher:
ISBN:
Category :
Languages : fr
Pages : 121
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Book Description
Author: T. Sato (Matemático)
Publisher:
ISBN:
Category :
Languages : fr
Pages : 121
Get Book Here
Book Description
Author: T. Sato
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : fr
Pages : 121
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : fr
Pages : 189
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Book Description
Author: C. Miranda
Publisher: Springer Science & Business Media
ISBN: 3642877737
Category : Mathematics
Languages : en
Pages : 384
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Book Description
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.
Author: Thierry Horsin
Publisher:
ISBN:
Category :
Languages : fr
Pages : 126
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Book Description
On presente differents types de resultats sur la regularite de solutions d'equations aux derivees partielles non lineaires. Les deux premieres parties sont consacrees a des equations paraboliques. On presente en un premier lieu un resultat de regularite a la frontiere pour des solutions de l'evolution des surfaces a courbure moyenne prescrite. Le resultat est base sur un principe de reflexion et de regularite locale pour l'equation stationnaire. La deuxieme partie donne des conditions geometriques sur une variete cible pour pouvoir etablir l'existence d'une solution reguliere du flot des applications harmoniques. On utilise des resultats classiques sur le comportement local de l'energie obtenus grace aux conditions geometriques. Dans la troisieme partie on s'interesse a des equations scalaires. Si la dimension de l'espace est suffisamment grande, on peut construire des solutions d'une equation scalaire ayant un lieu singulier prescrit. Ces solutions sont construites a partir d'une methode de transport par une action de groupe d'une solution a singularite ponctuelle. Puis en raffinant le procede on prescrit plusieurs lieux singuliers du type precedent
Author: Maurice Gevrey
Publisher:
ISBN:
Category : Differential equations, Hyperbolic
Languages : fr
Pages : 238
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Book Description
Author: Avner Friedman
Publisher: Courier Corporation
ISBN: 0486318265
Category : Mathematics
Languages : en
Pages : 369
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Book Description
With this book, even readers unfamiliar with the field can acquire sufficient background to understand research literature related to the theory of parabolic and elliptic equations. 1964 edition.
Author: Wolfgang Walter
Publisher: Springer Science & Business Media
ISBN: 3642864058
Category : Mathematics
Languages : en
Pages : 364
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Book Description
In 1964 the author's mono graph "Differential- und Integral-Un gleichungen," with the subtitle "und ihre Anwendung bei Abschätzungs und Eindeutigkeitsproblemen" was published. The present volume grew out of the response to the demand for an English translation of this book. In the meantime the literature on differential and integral in equalities increased greatly. We have tried to incorporate new results as far as possible. As a matter of fact, the Bibliography has been almost doubled in size. The most substantial additions are in the field of existence theory. In Chapter I we have included the basic theorems on Volterra integral equations in Banach space (covering the case of ordinary differential equations in Banach space). Corresponding theorems on differential inequalities have been added in Chapter II. This was done with a view to the new sections; dealing with the line method, in the chapter on parabolic differential equations. Section 35 contains an exposition of this method in connection with estimation and convergence. An existence theory for the general nonlinear parabolic equation in one space variable based on the line method is given in Section 36. This theory is considered by the author as one of the most significant recent applications of in equality methods. We should mention that an exposition of Krzyzanski's method for solving the Cauchy problem has also been added. The numerous requests that the new edition include a chapter on elliptic differential equations have been satisfied to some extent.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 712
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Book Description
Author: Dorothy L. Bernstein
Publisher: Princeton University Press
ISBN: 1400882222
Category : Mathematics
Languages : en
Pages : 228
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Book Description
The description for this book, Existence Theorems in Partial Differential Equations. (AM-23), Volume 23, will be forthcoming.
