Volevich, L. R. (Leonid Romanovich) 1934
Overview
Works:  24 works in 60 publications in 2 languages and 561 library holdings 

Roles:  Author, Translator 
Classifications:  QA377, 515.353 
Publication Timeline
.
Most widely held works by
L. R Volevich
Mixed problem for partial differential equations with quasihomogeneous principal part by
L. R Volevich(
Book
)
11 editions published between 1995 and 1996 in English and Undetermined and held by 235 WorldCat member libraries worldwide
11 editions published between 1995 and 1996 in English and Undetermined and held by 235 WorldCat member libraries worldwide
The method of Newton's polyhedron in the theory of partial differential equations by
S. G Gindikin(
Book
)
13 editions published in 1992 in English and held by 132 WorldCat member libraries worldwide
This volume develops the method of Newton's polyhedron for solving some problems in the theory of partial differential equations. The content is divided into two parts. Chapters 14 consider Newton's polygon and Chapters 57 consider Newton's polyhedron. The case of the polygon makes it possible not only to consider general constructions in the twodimensional case, but also leads to some natural multidimensional applications. Attention is mainly focused on a special class of hypoelliptic operators defined using Newton's polyhedron, energy estimates in Cauchy's problem relating to Newton's polyhedron, and generalized operators of principal type. Priority is given to the presentation of an algebraic technique which can be applied to many other problems as well. For researchers and graduate students whose work involves the theory of differential and pseudodifferential equations
13 editions published in 1992 in English and held by 132 WorldCat member libraries worldwide
This volume develops the method of Newton's polyhedron for solving some problems in the theory of partial differential equations. The content is divided into two parts. Chapters 14 consider Newton's polygon and Chapters 57 consider Newton's polyhedron. The case of the polygon makes it possible not only to consider general constructions in the twodimensional case, but also leads to some natural multidimensional applications. Attention is mainly focused on a special class of hypoelliptic operators defined using Newton's polyhedron, energy estimates in Cauchy's problem relating to Newton's polyhedron, and generalized operators of principal type. Priority is given to the presentation of an algebraic technique which can be applied to many other problems as well. For researchers and graduate students whose work involves the theory of differential and pseudodifferential equations
Distributions and convolution equations by
S. G Gindikin(
Book
)
6 editions published between 1990 and 1992 in English and held by 84 WorldCat member libraries worldwide
6 editions published between 1990 and 1992 in English and held by 84 WorldCat member libraries worldwide
Obobshchennye funkt︠s︡ii i uravnenii︠a︡ v svertkakh by
L. R Volevich(
Book
)
4 editions published in 1994 in Russian and held by 10 WorldCat member libraries worldwide
4 editions published in 1994 in Russian and held by 10 WorldCat member libraries worldwide
Psevdodifferencialʹnye operatory : sbornik statej(
Book
)
2 editions published in 1967 in Russian and held by 7 WorldCat member libraries worldwide
2 editions published in 1967 in Russian and held by 7 WorldCat member libraries worldwide
The Cauchy problem for convolution equations by
L. R Volevich(
Book
)
3 editions published in 1994 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1994 in English and held by 5 WorldCat member libraries worldwide
Linear partial differential operators by
Lars Hörmander(
Book
)
2 editions published in 1965 in Russian and held by 2 WorldCat member libraries worldwide
The aim of this book is to give a systematic study of questions con cerning existence, uniqueness and regularity of solutions of linear partial differential equations and boundary problems. Let us note explicitly that this program does not contain such topics as eigenfunction expan sions, although we do give the main facts concerning differential operators which are required for their study. The restriction to linear equations also means that the trouble of achieving minimal assumptions concerning the smoothness of the coefficients of the differential equations studied would not be worth while; we usually assume that they are infinitely differenti able. Functional analysis and distribution theory form the framework for the theory developed here. However, only classical results of functional analysis are used. The terminology employed is that of BOURBAKI. To make the exposition selfcontained we present in Chapter I the elements of distribution theory that are required. With the possible exception of section 1.8, this introductory chapter should be bypassed by a reader who is already familiar with distribution theory
2 editions published in 1965 in Russian and held by 2 WorldCat member libraries worldwide
The aim of this book is to give a systematic study of questions con cerning existence, uniqueness and regularity of solutions of linear partial differential equations and boundary problems. Let us note explicitly that this program does not contain such topics as eigenfunction expan sions, although we do give the main facts concerning differential operators which are required for their study. The restriction to linear equations also means that the trouble of achieving minimal assumptions concerning the smoothness of the coefficients of the differential equations studied would not be worth while; we usually assume that they are infinitely differenti able. Functional analysis and distribution theory form the framework for the theory developed here. However, only classical results of functional analysis are used. The terminology employed is that of BOURBAKI. To make the exposition selfcontained we present in Chapter I the elements of distribution theory that are required. With the possible exception of section 1.8, this introductory chapter should be bypassed by a reader who is already familiar with distribution theory
Quelques méthodes de résolution des problèmes aux limites non linéaires by
J.L Lions(
Book
)
1 edition published in 1972 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1972 in Russian and held by 1 WorldCat member library worldwide
Partial differential equations III by
I︠U︡. V Egorov(
Book
)
2 editions published in 1991 in English and held by 1 WorldCat member library worldwide
2 editions published in 1991 in English and held by 1 WorldCat member library worldwide
Psevdodi fferencialʹnye operatory [Texte imprimé] : sbornik statej(
Book
)
1 edition published in 1967 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1967 in Russian and held by 1 WorldCat member library worldwide
Firstorder hyperbolic systems. Energy estimates and exponential dichotomy by
L. R Volevich(
Book
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
Dviženie idealʹnoj židkosti s lokalizovannoj zavichrennostʹju na poverchnosti vraščajuščejsja sfery by Nikita Dmitrievna Vvedenskaja(
Book
)
1 edition published in 1984 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1984 in Undetermined and held by 1 WorldCat member library worldwide
Ocenki vblizi granicy rešenij èlliptiŝeskih uravnenij v častnyh proizvodnyh pri obŝih graničnyh usloviâh by
Shmuel Agmon(
Book
)
1 edition published in 1962 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1962 in Russian and held by 1 WorldCat member library worldwide
Rasčët potencialʹnych obtekanij osesimmetričnych tel pod nenulevym uglom ataki by A. I Aptekarev(
Book
)
1 edition published in 1992 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1992 in Russian and held by 1 WorldCat member library worldwide
The Cauchy problem by
S. G Gindikin(
Book
)
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
Differentsial'nye uravneniia s chastnymi Proizvodnymi3(
Book
)
1 edition published in 1988 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1988 in Russian and held by 1 WorldCat member library worldwide
Smeshannai︠a︡ zadacha dli︠a︡ different︠s︡ialʹnykh uravneniĭ v chastnykh proizvodnykh s kvaziodnorodnoĭ starsheĭ chastʹi︠u︡
: s dopolneniem L.R. Volevicha i A.R. Shiriki︠a︡na "Nekotorye zadachi giperbolicheskikh uravneniĭ na vseĭ osi vremeni" by
L. R Volevich(
Book
)
1 edition published in 1999 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1999 in Russian and held by 1 WorldCat member library worldwide
Parabolic boundary value problems connected with Newton's polygon and some problems of crystallization(
Book
)
2 editions published in 2008 in English and held by 1 WorldCat member library worldwide
2 editions published in 2008 in English and held by 1 WorldCat member library worldwide
Nekotorye metody rešenija nelinejnych kraevych zadač by
J.L Lions(
Book
)
1 edition published in 2002 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 2002 in Russian and held by 1 WorldCat member library worldwide
Nine papers on functional analysis and partial differential equations by
I︠U︡. A Dubinskiĭ(
)
1 edition published in 1968 in Undetermined and held by 0 WorldCat member libraries worldwide
1 edition published in 1968 in Undetermined and held by 0 WorldCat member libraries worldwide
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Related Identities
 Gindikin, S. G. (Semen Grigorʹevich) Author
 Volosov, Vladimir Markovitch Translator
 Ju. A. Dubinskiĭ, G. I. Èskin, K. K. Golovkin, V. V. Grušin, O. A. Ladyženskaja, A. M. Olevskiĭ, Ju. L. Šmul?jan, N. N. Ural?ceva, M. I. Višik Author
 Egorov, Jurij Vladimirovič Translator Editor
 Панеях, Борис Петрович Translator
 Landis, E. M.
 Lions, Ž.L Author
 Shubin, M. A. Editor
 Олейник, Ольга Арсеньевна Editor
 Širikjan, A. R.
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Associated Subjects
Boundary value problems Cauchy problem Convolutions (Mathematics) Differential equations, Hyperbolic Differential equations, Linear Differential equations, NonlinearNumerical solutions Differential equations, Parabolic Differential equations, Partial Differential equations, PartialNumerical solutions Differential equationsNumerical solutions Differential operators Functional analysis Functional equations Global analysis (Mathematics) Integral equationsNumerical solutions Linear operators Mathematics Newton diagrams Partial differential operators Theory of distributions (Functional analysis)
Alternative Names
Leonid Romanovitsj Volevitsj
Leonid Volevich Russian mathematician
Leonid Volevitsj
Volevič, L.R. 19342007
Volevič, Leonid Romanovič
Volevič, Leonid Romanovič 1934
Volevič, Leonid Romanovič 19342007
Volevich, L. R.
Volevich, Leonid 1934
Volevich, Leonid 19342007
Volevich, Leonid R. 1934
Volevich, Leonid R. 19342007
Volevich Leonid Romanovich
Volevich, Leonid Romanovich 1934
Volevich, Leonid Romanovich 19342007
Volevitch Leonid Romanovitch 1934....
Волевич, Леонид Романович.
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