Feller semigroups and degenerate elliptic operators with Wentzell boundary conditions

• Autorzy: Kazuaki Taira , Angelo Favini , Silvia Romanelli
• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to the functional analytic approach to the problem of construction of Feller semigroups with Wentzell boundary conditions in the characteristic case. Our results may be stated as follows: We can construct Feller semigroups corresponding to a diffusion phenomenon including absorption, reflection, viscosity, diffusion along the boundary and jump at each point of the boundary.

Kategorie tematyczne

• 60J35: Transition functions, generators and resolvents
• 47D06: One-parameter semigroups and linear evolution equations
• 47D07: Markov semigroups and applications to diffusion processes
• 60J60: Diffusion processes
• 35J25: Boundary value problems for second-order elliptic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 145
• Numer: 1
• Strony: 17-53

Daty

wydano

2001

Twórcy

autor

Kazuaki Taira

• Institute of Mathematics, University of Tsukuba, Tsukuba 305-8571, Japan

autor

Angelo Favini

• Dipartimento di Matematica, Universita di Bologna, 40126 Bologna, Italy

autor

Silvia Romanelli

• Dipartimento di Matematica, Universita di Bari, 70125 Bari, Italy

Identyfikatory

DOI

10.4064/sm145-1-2