Feller Semigroups with an Oblique Derivative Condition

ThisFeller semigroup chapterOblique derivative boundary condition is devoted to the proof of Theorem 1.3 . Namely, we prove that the closed realization \(\mathfrak {A}_{N}\) is the infinitesimal generator of a Feller semigroup on \(C(\overline{\Omega })\) associated with absorption, reflection and drift phenomena at the boundary (see Fig. 1.7 ).