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.

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This book considers problems arising the theory of differential equations. This book is not only intended for mathematicians specializing in the theory of differential equations or in probability theory but also for specialists in asymptotic methods and functional analysis.

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