Qualitative Estimates For Partial Differential Equations: An Introduction, 1st Edition (Hardback) book cover

Qualitative Estimates For Partial Differential Equations

An Introduction, 1st Edition

By J N Flavin, S. Rionero

CRC Press

400 pages

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Hardback: 9780849385124
pub: 1995-11-08
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Description

Qualitative Estimates For Partial Differential Equations: An Introduction describes an approach to the use of partial differential equations (PDEs) arising in the modelling of physical phenomena. It treats a wide range of differential inequality techniques applicable to problems arising in engineering and the natural sciences, including fluid and solid mechanics, physics, dynamics, biology, and chemistry.

The book begins with an elementary discussion of the fundamental principles of differential inequality techniques for PDEs arising in the solution of physical problems, and then shows how these are used in research.

Qualitative Estimates For Partial Differential Equations: An Introduction is an ideal book for students, professors, lecturers, and researchers who need a comprehensive introduction to qualitative methods for PDEs arising in engineering and the natural sciences.

Reviews

"…Written carefully and accessibly…Even a specialist in partial differential equations can find something new in this book among the numerous examples."

M.S. Agranovich, Mathematical Reviews, 1997

Table of Contents

Part I

Preliminaries and Fundamental Issues

Estimates Based on First Order Differential Inequalities 1: Liapunov Method

Estimates Based on First Order Differential Inequalities 2: Volume Integral and Other Methods

Estimates Based on Second Order Differential Inequalities

Identities Holding Along Solutions to Partial Differential Equations: Lagrange Identity Method

Weighted Integral Methods

Part II

Elliptic Equations

Parabolic Equations

Hyperbolic, Related Equations, and Others

Appendix: Fundamental Inequalities

About the Series

Engineering Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations