On the Schrödinger equation in Lp spaces

Mathematische Annalen

Volumn 304, Issue 1, 1996, Pages 293-302

  El Mennaoui, O ^a   Keyantuo, V ^b  

^a UNIVERSITY OF TÜBINGEN   (Germany)

^b UNIVERSITY OF PUERTO RICO   (Puerto Rico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030529920     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf01446295     Document Type: Article

References (20)

1. Arendt W., Sobolev Imbeddings and Integrated Semigroups, in 2nd International Conference on Trends in Semigroup Theory and Evolution Equations, Ph. Clément, E. Mitidieri, B. de Pagter, Eds., Lect. Notes Pure Appl. Math. 135, Marcel Dekker, New York 1991
2. Arendt W., Voigt J., Approximation of multipliers by regular operators, Indag. Math., N.S. 2 (1991), 159-170
3. p-estimates for Schrödinger evolution equations, Trans. Amer. Math. Soc. (1) 292 (1985), 357-373
4. Beller E., Polynomial extremal problems, Proc. Amer. Math. Soc. 30 (1971), 249-259
5. Boyadzhiev K., DeLaubenfels R., Boundary values of holomorphic semigroups, Proc. Amer. Math. Soc. 118 (1993), 113-119
6. Butzer P.L., Berens H., Semigroups of Operators and Approximation, Springer Verlag, 1967
7. Da Prato G., Semigruppi regolarizzabili, Ricerche Mat. 15 (1966), 223-248
8. Davies E.B., Heat Kernels and Spectral Theory, Cambridge University Press, 1989
9. Edwards R.E., Fourier series, vol. 2 Springer Verlag, 1986.
10. El Mennaoui O., Traces de Semi-groupes Holomorphes Singuliers à l'Origine et Comportement Asymptotique, Thèse, Besançon 1992.
11. Goldstein, J.A., Semigroups of Linear Operators and Applications, Oxford Mathematical Monographs, New York, 1985.
12. N)-spaces, Math. Ann. 291 (1991), 1-16
13. Hille E., Phillips R.S., Functional Analysis and Semigroups. Amer. Math. Soc. Colloq. Publ., Vol. 31, Providence, R.I. 1957.
14. Keyantuo, V., A note on interpolation of semigroups, Proc. Amer Math. Soc. 123 (1995), 2123-2132
15. Pazy, A., Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer Verlag, 1983.
16. Neubrander F., Integrated Semigroups and their Applications to the Abstract Cauchy Problem, Pacific J. Math. 135 (1988), 111-155
17. Robinson D.W., Elliptic Operators on Lie Groups, Oxford University Press, 1991.
18. Rudin, W., Real and Complex Analysis, MacGraw Hill, 1987.
19. Stein E.M., Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1971
20. Yosida, K., Functional Analysis, Springer Verlag, 1980.