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Book

Qualitative Estimates for Partial Differential Equations

Book

Qualitative Estimates for Partial Differential Equations

DOI link for Qualitative Estimates for Partial Differential Equations

Qualitative Estimates for Partial Differential Equations book

An Introduction

Qualitative Estimates for Partial Differential Equations

DOI link for Qualitative Estimates for Partial Differential Equations

Qualitative Estimates for Partial Differential Equations book

An Introduction
ByJames N. Flavin, Salvatore Rionero
Edition 1st Edition
First Published 1996
eBook Published 18 December 2020
Pub. Location Boca Raton
Imprint CRC Press
DOI https://doi.org/10.1201/9781003069010
Pages 400
eBook ISBN 9781003069010
Subjects Engineering & Technology, Mathematics & Statistics
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Flavin, J.N., & Rionero, S. (1996). Qualitative Estimates for Partial Differential Equations: An Introduction (1st ed.). CRC Press. https://doi.org/10.1201/9781003069010

ABSTRACT

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.

TABLE OF CONTENTS

chapter Chapter one|43 pages

Preliminaries and Fundamental Issues

chapter Chapter two|29 pages

Estimates Based on First Order Inequalities 1: Liapunov Direct Method

chapter Chapter three|31 pages

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

chapter Chapter four|40 pages

Estimates Based on Second Order Inequalities

chapter Chapter five|21 pages

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

chapter Chapter six|25 pages

Weighted Integral Methods

chapter Chapter seven|50 pages

Elliptic Equations

chapter Chapter eight|43 pages

Parabolic Equations

chapter Chapter nine|46 pages

Hyperbolic, Related Equations, and Others

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