Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
>
Search Refine
>
Review/Rating
Catalogue Display
Catalogue Display
Partial Differential Equations: An Introduction to a General Theory of Linear Boundary Value Problems /
.
Bookmark this Record
Catalogue Record 46281
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 46281
.
Reviews
Catalogue Record 46281
.
British Library
Resolver for RSN-46281
Google Scholar
Resolver for RSN-46281
WorldCat
Resolver for RSN-46281
Catalogo Nazionale SBN
Resolver for RSN-46281
GoogleBooks
Resolver for RSN-46281
ICTP Library
Resolver for RSN-46281
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
515
Title
Partial Differential Equations ([EBook] :) : An Introduction to a General Theory of Linear Boundary Value Problems / / by Aleksei A. Dezin.
Author
Dezin, Aleksei A.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg, , 1987.
Physical Details
XII, 165 p. : online resource.
Series
Springer series in Soviet mathematics
0939-1169
ISBN
9783642713347
Summary Note
Let me begin by explaining the meaning of the title of this book. In essence, the book studies boundary value problems for linear partial differ ential equations in a finite domain in n-dimensional Euclidean space. The problem that is investigated is the question of the dependence of the nature of the solvability of a given equation on the way in which the boundary conditions are chosen, i.e. on the supplementary requirements which the solution is to satisfy on specified parts of the boundary. The branch of mathematical analysis dealing with the study of boundary value problems for partial differential equations is often called mathematical physics. Classical courses in this subject usually consider quite restricted classes of equations, for which the problems have an immediate physical context, or generalizations of such problems. With the expanding domain of application of mathematical methods at the present time, there often arise problems connected with the study of partial differential equations that do not belong to any of the classical types. The elucidation of the correct formulation of these problems and the study of the specific properties of the solutions of similar equations are closely related to the study of questions of a general nature.:
Contents note
I. Elements of Spectral Theory -- §0. Introductory Remarks -- §1. Basic Definitions -- §2. The Spectrum of an Operator -- §3. Special Classes of Operators -- II. Function Spaces and Operators Generated by Differentiation -- §0. Introductory Remarks -- §1. The Space IH(F) -- §2. Differential Operations and the Maximal Operator -- §3. The Minimal Operator and Proper Operators -- §4. Weak and Strong Extensions of Differential Operations -- §5. Averaging Operators -- §6. The Identity of Weak and Strong Extensions of Differential Operations -- §7. W Spaces -- III. Ordinary Differential Operators -- §0. Introductory Remarks -- §1. Description of Proper Operators for n = 1. -- §2. The Ordinary Differential Operator of the First Order -- §3. Birkhoff Theory -- §4. Supplementary Remarks -- IV. Model Operators -- §0. Introductory Remarks -- §1. Tensor Products and Model Operators -- §2. Operators on the n-Dimensional Torus -- V. First-Order Operator Equations -- §0. Introductory Remarks -- §1. The Operator Dt—A; The Spectrum -- §2. The Operator Dt2013A; Special Boundary Conditions -- §3. The Operator Dt—k\Classification -- §4. Operators not Solvable for Dt -- §5. Differential Properties of the Solutions of Operator Equations, and Related Questions -- 6. Some Operators with Variable Coefficients in the Principal Part -- 7. Concluding Remarks -- VI. Operator Equations of Higher Order -- §0. Introductory Remarks -- §1. Second-Order Operator Equations -- §2. Operator Equations of Higher Order (m 2) -- VII. General Existence Theorems for Proper Operators.. -- §0. Introductory Remarks -- §1. Lemma on Restriction of a Domain -- §2. Existence Theorem for a Proper Operator -- 3. Description of Proper Operators in a Parallelepiped -- VIII. A Special Operational Calculus -- §0. Introductory Remarks -- §1. Construction of the Operational Calculus -- §2. Some Examples -- §3. The Necessity for Restrictions on the Resolvent -- Concluding Remarks -- Appendix 1. On Some Systems of Equations Containing a Small Parameter -- §1. Formulation of the Problem -- §2. Truncation of the System -- §3. The Complete System -- Appendix 2. Further Developments -- References -- Index of Symbols.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-642-71334-7
Links to Related Works
Subject References:
Analysis
.
Analysis (Mathematics)
.
Mathematical analysis
.
Mathematics
.
Authors:
Dezin, Aleksei A.
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Springer series in Soviet mathematics
.
Classification:
515
.
.
ISBD Display
Catalogue Record 46281
.
Tag Display
Catalogue Record 46281
.
Related Works
Catalogue Record 46281
.
Marc XML
Catalogue Record 46281
.
Add Title to Basket
Catalogue Record 46281
.
Catalogue Information 46281
Beginning of record
.
Catalogue Information 46281
Top of page
.
Download Title
Catalogue Record 46281
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
46281
1
46281
-
2
46281
-
3
46281
-
4
46281
-
5
46281
-
Quick Search
Search for