SEMIGROUPS OF OPERATORS THAT DESCRIBE A FELLER PROCESS ON THE LINE, WHICH IS THE RESULT OF PASTING TOGETHER TWO DIFFUSION PROCESSES

摘要

We use the method of the classical potential theory to construct the semigroup of operators that describe a Feller process on the line by pasting together two diffusion processes that satisfy a nonlocal Feller-Wentzell type condition for the pasting.