Ventcel's boundary conditions and analytic semigroups

Archiv der Mathematik

Volumn 70, Issue 5, 1998, Pages 377-390

  Campiti, M ^a   Metafune, G ^b  

^a POLITECNICO DI BARI   (Italy)

^b UNIVERSITY OF SALENTO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032222074     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000130050210     Document Type: Article

References (16)

1. F. ALTOMARE and M. CAMPITI, Korovkin-type Approximation Theory and its Applications. de Gruyter Stud. Math. 17 (1994).
2. S. ANGENENT, Local existence and regularity for a class of degenerate parabolic equations. Math. Ann. 280, 465-482 (1988).
3. H. BREZIS, W. ROSENKRANTZ and B. SINGER, On a degenerate elliptic-parabolic equation occurring in the theory of Probability. Comm. Pure Appl. Math. 24, 395-416 (1971).
4. P. L. BUTZER and H. BERENS, Semi-groups of Operators and Approximation. Grundlehren Math. Wiss. 145 (1967).
5. M. CAMPITI, G. METAFUNE and D. PALLARA, Degenerate self-adjoint evolution equations on the unit interval. Semigroup Forum, to appear.
6. 0-semigroups generated by differential operators satisfying Ventcel's boundary conditions. Indag. Math. 89, 379-387 (1986).
7. G. DA PRATO and A. LUNARDI, On the Ornstein-Uhlenbeck operator in spaces of continuous functions. J. Funct. Anal. 131, 94-114 (1995).
8. S. N. ETHIER and T. G. KURTZ, Markov processes, characterization and convergence. Wiley Ser. Probab. Math. Statist. (1986).
9. A. FAVINI, J. GOLDSTEIN and S. ROMANELLI, An analytic semigroup associated to a degenerate evolution equation. In: Stochastic processes and functional analysis, J. A. Goldstein, N. E. Gretsky and J. Uhl, eds., Lecture Notes in Pure and Appl. Math. 186, 85-100 (1996).
10. A. FAVINI and S. ROMANELLI, Analytic semigroups on C([0,1]) generated by some classes of second order differential operators. Semigroup Forum, to appear.
11. W. FELLER, Two singular diffusion problems. Ann. of Math. 54, 173-182 (1951).
12. W. FELLER, The parabolic differential equations and the associated semi-groups of transformations. Ann. of Math. 55, 468-519 (1952).
13. G. FICHERA, On a degenerate evolution problem. In: Partial differential equations with real analysis, H. Begeher and A. Jeffrey, eds., Pitman Res. Notes Math. Ser. 263, 15-42 (1992).
14. G. METAFUNE, Analyticity for some degenerate one-dimensional evolution equations. Studia Math. 127, 251-276 (1998).
15. R. NAGEL (ed.), One-parameters semigroup of positive operators. LNM 1184. Berlin-Heidelberg-New York 1986.
16. V. VESPRI, Analytic semigroups, degenerate elliptic operators and applications to non-linear Cauchy problems. Ann. Mat. Pura Appl. 155, 353-388 (1989).