Введенская, Никита Дмитриевна
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Works:  2 works in 2 publications in 1 language and 4 library holdings 

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Most widely held works by
Никита Дмитриевна Введенская
Ploskie volny i sferičeskie srednie s primenenii k differencialʹnym uravneniâm s častnymi proizvodnymi by
Fritz John(
Book
)
1 edition published in 1958 in Russian and held by 3 WorldCat member libraries worldwide
1 edition published in 1958 in Russian and held by 3 WorldCat member libraries worldwide
Linear partial differential operators by
Lars Hörmander(
Book
)
1 edition published in 1965 in Russian and held by 1 WorldCat member library 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
1 edition published in 1965 in Russian and held by 1 WorldCat member library 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
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Related Identities
 Йон, Ф Author
 Михлин, Соломон Григорьевич Editor
 Волевич, Леонид Романович
 Панеях, Борис Петрович
 Хёрмандер, Л Author
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