Geodesic
Feller semigroups and degenerate elliptic operators with Wentzell boundary conditions
Kazuaki Taira1 ; Angelo Favini2 ; Silvia Romanelli3
1Institute of Mathematics University of Tsukuba Tsukuba 305-8571, Japan
2Dipartimento di Matematica Universita di Bologna 40126 Bologna, Italy
3Dipartimento di Matematica Universita di Bari 70125 Bari, Italy
Studia Mathematica, Tome 145 (2001) no. 1, pp. 17-53
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm145-1-2
Keywords: paper devoted functional analytic approach problem construction feller semigroups wentzell boundary conditions characteristic results may stated follows construct feller semigroups corresponding diffusion phenomenon including absorption reflection viscosity diffusion along boundary jump each point boundary

Kazuaki Taira  1   ; Angelo Favini  2   ; Silvia Romanelli  3

1 Institute of Mathematics University of Tsukuba Tsukuba 305-8571, Japan
2 Dipartimento di Matematica Universita di Bologna 40126 Bologna, Italy
3 Dipartimento di Matematica Universita di Bari 70125 Bari, Italy 
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Kazuaki Taira; Angelo Favini; Silvia Romanelli. Feller semigroups and degenerate elliptic operators with
Wentzell boundary conditions. Studia Mathematica, Tome 145 (2001) no. 1, pp. 17-53. doi: 10.4064/sm145-1-2

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