Regularity of pairs of positive operators

Illinois Journal of Mathematics

Volumn 42, Issue 3, 1998, Pages 357-370

  Bu, Shangquan ^a,b   Clément, Philippe ^c   Guerre Delabrière, Sylvie ^b  

^a TSINGHUA UNIVERSITY   (China)

^b SORBONNE UNIVERSITÉ   (France)

^c DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032172711     PISSN: 00192082     EISSN: None     Source Type: Journal    
DOI: 10.1215/ijm/1255985560     Document Type: Article

References (10)

1. J. B Baillon and Ph. Clément, Examples of unbounded imaginary powers of operators, J. Funct. Anal. 100, (1991), 419-434.
2. Ph. Clément and S. Guerre-Delabrière, On the regularity of abstract Cauchy problems of order one and boundary value problems of order two, Publ. Math. de Univ. P. et M. Curie 119 (1997), 1-44.
3. G. Da Prato et P. Grisvard, Sommes d'opérateurs linéaires et équations différentielles opérationnelles, J. Math. Pures et Appl. 54 (1975), 305-387.
4. G. Dore and A. Venni, On the closedness of the sum of two closed operators, Math. Zeitschr. 196 (1987), 189-201.
5. P. Grisvard, Equations différentielles abstraites, Ann. Sci. École Norm. Sup. (1969), 311-395.
6. H. Komatsu, Fractional powers of operators, Pacific J. Math. 19 (1966), 285-346.
7. p-maximal regularity, preprint.
8. P. R. Sobolevski, Fractional powers of coercively positive sums of operators, Dokl. Akad. Nauk SSSR 225 (1975), 6, 1638-1641.
9. H. Tanabe, Equations of evolution, Pitman, San Francisco, 1979.
10. H. Triebel, Interpolation theory, function spaces, differential operators, North Holland, 1978.