A note on the abstract Cauchy problem

Semigroup Forum

Volumn 54, Issue 1, 1997, Pages 112-116

  Eidelman, Y S ^a   Tikhonov, I V ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043047253     PISSN: 00371912     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02676592     Document Type: Article

References (9)

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2. Crandall, M. G. and A. Pazy, On the differentiability of weak solutions of a differential equation in Banach space, J. Math. Mech. 18 (1969), 1007-1016.
3. Eidelman, Y. S., Well-posedness of direct and inverse problems for a differential equation in Hilbert space, Dokl. Akad. Nauk Ukraine (1993), no.12, 17-21 (Russian).
4. Eidelman, Y. S. and I. V. Tikhonov, On well-posed problems for a special kind of evolution equation, Matem. zametki. 56 (1994), no.2, 99-113 (Russian).
5. E. Hille and R. S. Phillips, Functional analysis and semi-groups, revised ed., Amer. Math. Soc. Colloq. Publ., vol. 31, Amer. Math. Soc., Providence, RI, 1957.
6. Pazy, A., Semigroups of linear operators and applications to partial differential equations, Springer-Verlag, New York, 1983.
7. Phillips, R. S., Perturbation theory for semi-groups of linear operators, Trans. Amer. Math. Soc. 74 (1953), 199-221.
8. Travis, C. C., Differentiability of weak solutions to an abstract inhomogeneous differential equation, Proc. Amer. Math. Soc. 82 (1981) 425-430.
9. Webb, G. F., Regularity of solutions to an abstract inhomogeneous linear differential equation, Proc. Amer. Math. Soc. 62 (1977) 271-277.