The non-autonomous wave equation with general Wentzell boundary conditions

Royal Society of Edinburgh - Proceedings A

Volumn 135, Issue 2, 2005, Pages 317-329

  Favini, Angelo ^a   Gal, Ciprian G ^b   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

[No Author keywords available]

Indexed keywords

EID: 17744367246     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500003905     Document Type: Article

References (9)

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2. A. Favini, G. Ruiz Goldstein, J. A. Goldstein and S. Romanelli. The heat equation with generalized Wentzell boundary condition. J. Evol. Eqns 2 (2002), 1-19.
3. A. Favini, G. Ruiz Goldstein, J. A. Goldstein and S. Romanelli. Fourth-order operators with general Wentzell boundary conditions. (Submitted.)
4. C. G. Gal, G. Ruiz Goldstein and J. A. Goldstein. Oscillatory boundary conditions for acoustic wave equations. J. Evol. Eqns 3 (2003), 623-635.
5. J. A. Goldstein. Time-dependent hyperbolic equations. J. Funct. Analysis 4 (1969), 31-49.
6. J. A. Goldstein. Semigroups and second-order differential equations. J. Funct. Analysis 4 (1969), 50-70.
7. J. A. Goldstein. Semigroups of linear operators and applications. (Oxford University Press, 1985).
8. T. Kato. Integration of the equation of evolution in a Banach space. J. Math. Soc. Jpn 5 (1953), 208-304.
9. T. Kato. On linear differential equations in Banach spaces. Commun. Pure Appl. Math. 9 (1956), 479-486.