摘要

The convergence is established for a sequence of operator semigroups, where the limiting object is the transition semigroup for a reflected stable processes. For semilinear equations involving the generators of these transition semigroups, an approximation method is developed as well. This makes it possible to derive an a prior?, bound for solutions to these equations, and therefore prove global existence of solutions. An application to epidemiology is also given.

  • 出版日期2013-3