Entire propagator
HTML articles powered by AMS MathViewer
- by L. Autret and H. Emamirad PDF
- Proc. Amer. Math. Soc. 120 (1994), 1151-1158 Request permission
Abstract:
We construct an entire solution for an evolutionary Cauchy problem when the initial data is an entire vector of an appropriate operator in a Banach space. We give a sufficient condition for an entire domination. Our results are applied to some partial differential equations including the Dirac system.References
- Laurent Autret, Entire vectors and time reversible Cauchy problems, Semigroup Forum 46 (1993), no. 3, 347–351. MR 1206212, DOI 10.1007/BF02573577
- Frederick M. Goodman and Palle E. T. Jorgensen, Lie algebras of unbounded derivations, J. Funct. Anal. 52 (1983), no. 3, 369–384. MR 712587, DOI 10.1016/0022-1236(83)90075-7
- Michel Hervé, Analyticity in infinite-dimensional spaces, De Gruyter Studies in Mathematics, vol. 10, Walter de Gruyter & Co., Berlin, 1989. MR 986066, DOI 10.1515/9783110856941
- Ralph deLaubenfels, Existence families, functional calculi and evolution equations, Lecture Notes in Mathematics, vol. 1570, Springer-Verlag, Berlin, 1994. MR 1290783, DOI 10.1007/BFb0073401
- Edward Nelson, Analytic vectors, Ann. of Math. (2) 70 (1959), 572–615. MR 107176, DOI 10.2307/1970331
- A. Pazy, Semigroups of linear operators and applications to partial differential equations, Applied Mathematical Sciences, vol. 44, Springer-Verlag, New York, 1983. MR 710486, DOI 10.1007/978-1-4612-5561-1
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 1151-1158
- MSC: Primary 47N20; Secondary 30D10, 34A20, 34G10, 35R20, 47D06
- DOI: https://doi.org/10.1090/S0002-9939-1994-1172945-6
- MathSciNet review: 1172945