The favard class for a parabolic problem with wentzell boundary conditions

International Journal of Phytoremediation

Volumn 78, Issue 1-2, 2001, Pages 43-54

  Cito, Ermelinda ^a   Ruiz Goldstein, Gisèle ^b   Goldstein, Jerome A ^c   Romanelli, Silvia ^d  

^a University of Memphis ^*  (Italy)

^b UNIVERSITY OF MEMPHIS   (United States)

^c University of Memphis   (United States)

^d UNIVERSITY OF BARI   (Italy)

Author keywords

34GXX; 47D06; 47II20; Favard class; Operator semigroups; Wentzell conditions

Indexed keywords

EID: 33947355707     PISSN: 15226514     EISSN: 15497879     Source Type: Journal    
DOI: 10.1080/00036810108840925     Document Type: Article

References (10)

1. Butzer, P., and Berens, H., 1967. Semigroups of Operators and Approsirnation, Springer.
2. o -semigroups generated by differential operators satisfying Ventcel's boundary conditions. Indag. Math, 89: 379-387.
3. Crandall, M.G., 1973. A generalized domain for semigroup generators. Proc.Amer.Math.Soc, 37: 434-440.
4. Dorroh, J.R., and Rieder, G.R., 1991. A singular quasilinear parabolic problem in one space dimension. J.Diff.Eqns, 91: 1-23.
5. Goldstein, G.R., Goldstein, J.A., and Oharu, S., “ The Favard class for a nonlinear Parabolic problem ”. In Recent Development in Evolution Equations Edited by: Mc Brid, A.C., and Roach, G.F., 134-147. Longman, Pitman Notes, Harlow
6. Goldstein, G.R., 1997. “ Nonlinear parabolic equations, Favard, classes and regularity, Stochastic Processes and Functional Analysis ”. In Lecture Notes in Pure and Applied Mathematics, Edited by: Goldstein, J.A., and Uhl, Jr, J.J., Vol. 186, 253-263. New York: M.Dekker.
7. Goldstein, J.A., 1985. “ Semigroups of Operators and Applications ”. Oxford University Press.
8. Nickel G., Abstrakte Extrapolationsraume, Faverdklassen and Caughyprobleme Diplomarbeit am Mathematischen der Eberhard-Karls-Universitat T¨bingen Dezember 1993.
9. Timmermans, A.C., 1987. “ Semigroups of operators, approximations and saturation in Banach spaces ”. In Ph.D. Thesis, Delf University Press.
10. Westphal, U., 1972. Sur la saturation pour des semigroupes nonlinears. C.R. Acad. Sc. Paris, 274: 1351-1353.