Aziz A.K. (ed.) Lecture Series in Differential Equations Vol. II

New York, Chicago, London: Van Nostrand Reinhold Company, 1969. — VI, 282 p.The Second volume of Lecture Series in Differential Equations consists of the proceedings of the session sponsored by the consortium of Universities in Washington, D.C. during 1966-67. In this volume the lectures are devoted to Differential Equations of Mathematical Physics, Differential Equations in Banach Spaces, Stochastic Differential Equations, and Numerical Solutions.Each lecture is devoted to an active basic area of contemporary theory of differential equations. It presents a survey and a critical review of certain aspects of the area, with emphasis on new results, open problems, and important applications. The material will be of interest not only to the student working in these areas, but also to the professional mathematician and scientist who seeks to gain a perspective of current work.The eleven contributors to this volume are all recognized specialists in their particular areas. The sum of their lectures represents a broad picture of the work presently occurring in these important areas.CONTRIBUTORS:
A. S. Wightman.
K. O. Friedrichs.
R. S. Phillips.
Tosio Kato.
Shmuel Agmon.
M. Kac.
R. K. Getoor.
H. P. McKean, Jr.
Garrett Birkhoff.
Philip J. Davis.
Peter D. Lax.Differential Equations of Mathematical Physics
Partial Differential Equations and Relativistic Quantum Field Theory.
Differential Equation Problems of Classical Mathematical Physics.Differential Equations in a Banach Space
On Dissipative Operators.
Approximation Theorems For Evolution Equations.
Uniqueness Results For Solutions Of Differential Equations In Hilbert Space With Applications To Problems In Partial Differential Equations.Stochastic Differential Equations
The Physical Background of Langevin’s Equation.
Markov Processes and Potential Theory.
Propagation of Chaos for a Class of Non-Linear Parabolic Equations.Numerical Solutions
Numerical Solution of Elliptic Equations.
Approximate Integration Rules With Non-Negative Weights.
Toeplitz Operators.