Author: Lev D. Kudrjavcev
Publisher: American Mathematical Soc.
ISBN: 9780821815922
Category : Differential equations, Elliptic
Languages : en
Pages : 206

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Author: Lev Dmitrievich Kudri︠a︡vt︠s︡ev
Publisher:
ISBN: 9781470444570
Category : Differential equations, Elliptic
Languages : en
Pages : 212

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Author: Lev Dmitrievič Kudrjavcev
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: S.M. Nikol'skii
Publisher: Springer Science & Business Media
ISBN: 3642657117
Category : Mathematics
Languages : en
Pages : 428

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This English translation of my book "PribliZenie Funkcir Mnogih Peremennyh i Teoremy Vlozel1iya" is identical in content with the Rus sian original, published by "Nauka" in 1969. However, I have corrected a number of errors. I am grateful to the publishing house Springer-Verlag for making my book available to mathematicians who do not know Russian. I am also especially grateful to the translator, Professor John M. Dan skin, who has fulfilled his task with painstaking care. In doing so he has showed high qualifications both as a mathematician and as a translator of Russian, which is considered by many to be a very difficult language. The discussion in this book is restricted, for the most part, to func tions everywhere defined in n-dimensional space. The study of these questions for functions given on bounded regions requires new methods. In. connection with this I note that a new book, "Integral Represen tations of Functions and Imbedding Theorems", by O.V. Besov, V.P. Il'in, and myself, has just (May 1975) been published, by the publishing house "Nauka", in Moscow. Moscow, U.S.S.R., May 1975 S.M. Nikol'skir Translator's Note I am very grateful to Professor Nikol'skir, whose knowledge of English, which is considered by many to be a very difficult language, is excellent, for much help in achieving a correct translation of his book. And I join Professor Nikol'skir in thanking Springer-Verlag. The editing problem was considerable, and the typographical problem formidable

Author: Serge_ L_vovich Sobolev R. A. Aleksandrjan
Publisher: American Mathematical Soc.
ISBN: 9780821895436
Category : Mathematics
Languages : en
Pages : 356

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Author: O. Oleinik
Publisher: Springer Science & Business Media
ISBN: 1468489658
Category : Mathematics
Languages : en
Pages : 265

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Second order equations with nonnegative characteristic form constitute a new branch of the theory of partial differential equations, having arisen within the last 20 years, and having undergone a particularly intensive development in recent years. An equation of the form (1) is termed an equation of second order with nonnegative characteristic form on a set G, kj if at each point x belonging to G we have a (xHk~j ~ 0 for any vector ~ = (~l' ... '~m)' In equation (1) it is assumed that repeated indices are summed from 1 to m, and x = (x l' ••• , x ). Such equations are sometimes also called degenerating m elliptic equations or elliptic-parabolic equations. This class of equations includes those of elliptic and parabolic types, first order equations, ultraparabolic equations, the equations of Brownian motion, and others. The foundation of a general theory of second order equations with nonnegative characteristic form has now been established, and the purpose of this book is to pre sent this foundation. Special classes of equations of the form (1), not coinciding with the well-studied equations of elliptic or parabolic type, were investigated long ago, particularly in the paper of Picone [105], published some 60 years ago.

Author: United States. Central Intelligence Agency. Foreign Documents Division
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1006

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Author: Sergei Mikhailovich Nikol'skii
Publisher: American Mathematical Soc.
ISBN: 9780821899007
Category : Mathematics
Languages : en
Pages : 308

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Author: I︠U︡riĭ Vasilʹevich Prokhorov
Publisher: American Mathematical Soc.
ISBN: 9780821831328
Category : Mathematics
Languages : en
Pages : 338

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This is a translation of the fifth and final volume in a special cycle of publications in commemoration of the 50th anniversary of the Steklov Mathematical Institute of the Academy of Sciences in the USSR. The purpose of the special cycle was to present surveys of work on certain important trends and problems pursued at the Institute. Because the choice of the form and character of the surveys were left up to the authors, the surveys do not necessarily form a comprehensive overview, but rather represent the authors' perspectives on the important developments.

Author:
Publisher: American Mathematical Soc.
ISBN: 9780821830178
Category : Differentiable functions
Languages : en
Pages : 422

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