Continuous dependence on the boundary conditions for the Wentzell Laplacian

Semigroup Forum

Volumn 77, Issue 1, 2008, Pages 101-108

  Coclite, Giuseppe Maria ^a   Favini, Angelo ^b   Goldstein, Gisèle Ruiz ^c   Goldstein, Jerome A ^c   Romanelli, Silvia ^a  

^a UNIVERSITY OF BARI   (Italy)

^b UNIVERSITY OF BOLOGNA   (Italy)

^c University of Memphis   (United States)

Author keywords

Continuous dependence; Heat equation; Higher order boundary operators; Semigroup approximation; Wentzell boundary conditions

Indexed keywords

EID: 45849148855     PISSN: 00371912     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00233-008-9068-2     Document Type: Article

References (6)

1. Favini, A., Goldstein, G.R., Goldstein, J.A., Obrecht, E., Romanelli, S.: Analytic semigroups and angles of concavity. Submitted for publication
2. Favini, A., Goldstein, G.R., Goldstein, J.A., Obrecht, E., Romanelli, S.: Uniformly elliptic operators in divergence form and general Wentzell boundary conditions. Preprint (2007)
3. Favini, A., Goldstein, G.R., Goldstein, J.A., Romanelli, S.: The heat equation with generalized Wentzell boundary conditions. J. Evol. Equ. 2, 1-19 (2002)
4. p approach to singular linear parabolic equations in bounded domains. Osaka J. Math. 42, 385-406 (2005)
5. Goldstein, J.A.: Semigroups of Linear Operators and Applications. Oxford University Press, Oxford (1985)
6. Okazawa, N.: Sectorialness of second-order elliptic operators in divergence form. Proc. Am. Math. Soc. 113, 701-706 (1991)