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.

chapter Chapter one|43 pages

Preliminaries and Fundamental Issues

chapter Chapter four|40 pages

Estimates Based on Second Order Inequalities

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