Classification of general Wentzell boundary conditions for fourth order operators in one space dimension

Journal of Mathematical Analysis and Applications

Volumn 333, Issue 1 SPEC. ISS., 2007, Pages 219-235

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

^a UNIVERSITY OF BOLOGNA   (Italy)

^b University of Memphis   (United States)

^c UNIVERSITY OF BARI   (Italy)

Author keywords

Accretive; Dynamic boundary conditions; Ordinary differential operator; Selfadjointness; Semiboundedness; Wentzell boundary conditions

Indexed keywords

EID: 34248136898     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.11.058     Document Type: Article

References (14)

1. Arendt W., Batty C.J.K., Hieber M., and Neubrander F. Vector-valued Laplace Transforms and Cauchy Problems. Monogr. Math. vol. 96 (2001), Birkhäuser
2. Engel K.J., and Nagel R. One-Parameter Semigroups for Linear Evolution Equations. Grad. Texts in Math. vol. 194 (2000), Springer
3. 0-semigroups generated by second order differential operators with generalized Wentzell boundary conditions. Proc. Amer. Math. Soc. 128 (2000) 1981-1989
4. Favini A., Goldstein G.R., Goldstein J.A., and Romanelli S. The heat equation with generalized Wentzell boundary condition. J. Evol. Equ. 2 (2002) 1-19
5. 1, p. Math. Nachr. 238 (2002) 78-102
6. Favini A., Goldstein G.R., Goldstein J.A., and Romanelli S. General Wentzell boundary conditions, differential operators and analytic semigroups in C [0, 1]. Bol. Soc. Parana. Mat. 20 (2002) 93-102
7. A. Favini, G. Ruiz Goldstein, J.A. Goldstein, S. Romanelli, Fourth order operators with general Wentzell boundary conditions, Rocky Mountain J. Math., in press
8. Favini A., Goldstein G.R., Goldstein J.A., and Romanelli S. Fourth order ordinary differential operators with general Wentzell boundary conditions. In: Favini A., and Lorenzi A. (Eds). Differential Equations: Direct and Inverse Problems. Lect. Notes Pure Appl. Math. vol. 251 (2006), Chapman and Hall, Boca Raton, FL 61-74
9. Favini A., and Yagi A. Degenerate differential equations in Banach spaces. Pure Appl. Math. 215 (1999)
10. Gal C. Sturm-Liouville operators with general boundary conditions. Electron. J. Differential Equations 120 (2005) 1-17
11. Goldstein J.A. Semigroups of Linear Operators and Applications (1985), Oxford Univ. Press
12. Hellwig G. Differential Operators of Mathematical Physics (1967), Addison-Wesley, Reading, MA
13. Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations (1983), Springer
14. Wentzell A.D. On boundary conditions for multi-dimensional diffusion processes. Theory Probab. Appl. 4 (1959) 164-177