
Partial Differential Equations: Methods and Applications, 1/e
Robert C. McOwen, Northeastern University
Published October, 1995 by Prentice Hall Engineering/Science/Mathematics
Copyright 1996, 420 pp.
Cloth
ISBN 0131218808

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Partial Differential EquationsMathematics
Partial Differential EquationsMechanical Engineering

Designed to bridge the gap between graduatelevel
texts in partial differential equations and the
current literature in research journals, this text
introduces students to a wide variety of more
modern methods  especially the use of functional
analysis  which has characterized much of the
recent development of PDEs.
covers the modern, functional
analytic methods in use today  especially as
they pertain to nonlinear equations.
maintains mathematical rigor and
generality whenever possible  but not at the
expense of clarity or concreteness.
offers a rapid pace  with some
proofs and applications relegated to exercises.
unlike other texts  which start with
the treatment of secondorder equations 
begins with the method of characteristics and
firstorder equations, with an emphasis in its
constructive aspects.
introduces the methods by emphasizing
important applications.
features important applications
from physics and differential geometry  e.g.,
NavierStokes, KleinGordon, Prescribed Scalar and
Mean Curvature.
illustrates topics with many figures.
contains nearly 400 exercises,
most with hints or solutions.
locates exercises near relevant
topics.
provides chapter summaries.
lists references for further
reading.
1. FirstOrder Equations.
2. Principles for HigherOrder Equations.
3. The Wave Equation.
4. The Laplace Equation.
5. The Heat Equation.
6. Linear Functional Analysis.
7. Differential Calculus Methods.
8. Linear Elliptic Theory.
9. Two Additional Methods.
10. Systems of Conservation Laws.
11. Linear and Nonlinear Diffusion.
12. Linear and Nonlinear Waves.
13. Nonlinear Elliptic Equations.
Hints and Solutions of Selected
Exercises.
References.
Index.
