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005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310151441.0 |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780817646516 |
|
978-0-8176-4651-6 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA370-380 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.353 |
Edition number |
23 |
264 #1 - |
-- |
Boston : |
-- |
Birkhäuser Boston, |
-- |
2010. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Giga, Mi-Ho. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Nonlinear Partial Differential Equations |
Medium |
[electronic resource] : |
Remainder of title |
Asymptotic Behavior of Solutions and Self-Similar Solutions / |
Statement of responsibility, etc |
by Mi-Ho Giga, Yoshikazu Giga, Jürgen Saal. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XVIII, 294p. 7 illus. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Progress in Nonlinear Differential Equations and Their Applications ; |
Volume number/sequential designation |
79 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Asymptotic Behavior of Solutions of Partial Differential Equations -- Behavior Near Time Infinity of Solutions of the Heat Equation -- Behavior Near Time Infinity of Solutions of the Vorticity Equations -- Self-Similar Solutions for Various Equations -- Useful Analytic Tools -- Various Properties of Solutions of the Heat Equation -- Compactness Theorems -- Calculus Inequalities -- Convergence Theorems in the Theory of Integration. |
520 ## - SUMMARY, ETC. |
Summary, etc |
The main focus of this textbook, in two parts, is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. The exposition moves systematically from the basic to more sophisticated concepts with recent developments and several open problems. With challenging exercises, examples, and illustrations to help explain the rigorous analytic basis for the Navier–-Stokes equations, mean curvature flow equations, and other important equations describing real phenomena, this book is written for graduate students and researchers, not only in mathematics but also in other disciplines. Nonlinear Partial Differential Equations will serve as an excellent textbook for a first course in modern analysis or as a useful self-study guide. Key topics in nonlinear partial differential equations as well as several fundamental tools and methods are presented. The only prerequisite required is a basic course in calculus. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Global analysis (Mathematics). |
|
Topical term or geographic name as entry element |
Functional analysis. |
|
Topical term or geographic name as entry element |
Differential equations, partial. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Partial Differential Equations. |
|
Topical term or geographic name as entry element |
Functional Analysis. |
|
Topical term or geographic name as entry element |
Analysis. |
|
Topical term or geographic name as entry element |
Approximations and Expansions. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Giga, Yoshikazu. |
Relator term |
author. |
|
Personal name |
Saal, Jürgen. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9780817641733 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-0-8176-4651-6 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |