Partial Differential Equations
Share this pageL. Bers; F. John; M. Schechter
This book consists of two main parts. The first part, "Hyperbolic and Parabolic
Equations", written by F. John, contains a well-chosen assortment of material
intended to give an understanding of some problems and techniques
involving hyperbolic and parabolic equations. The emphasis is on illustrating
the subject without attempting to survey it. The point of view is classical,
and this serves well in furnishing insight into the subject; it also makes it
possible for the lectures to be read by someone familiar with only the
fundamentals of real and complex analysis.
The second part, "Elliptic Equations", written by L. Bers and M. Schechter,
contains a very readable account of the results and methods of the theory of
linear elliptic equations, including the maximum principle, Hilbert-space
methods, and potential-theoretic methods. It also contains a brief discussion
of some quasi-linear elliptic equations.
The book is suitable for graduate students and researchers interested in
partial differential equations.
Readership
Graduate students and research mathematicians interested in partial differential equations.