This book discusses some aspects of the theory of partial differential equations from the viewpoint of probability theory. It is intended not only for specialists in partial differential equations or probability theory but also for specialists in asymptotic methods and in functional analysis. It is also of interest to physicists who use functional integrals in their research. The work contains results that have not previously appeared in book form, including research contributions of the author.

This volume presents new results in probability theory and partial differential equations related to asymptotic

Three expositions for advanced graduate students and nonspecialists in applied mathematics. Wave Front Propagation for KPP-type Equations analyzes nonlinear front propagation for a large class of semi-linear partial differential equations using probabilistic methods. Particle and Wave Transmission i