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A convergence of C0 semigroups in the weak topology
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n this paper, we establish convergence of contraction C0 semigroups in the weak topology on a general Banach space. We remove the restriction on a Banach space X and weaken the condition on resolvents of generators in the previous results [4, 5].
Abstract
n this paper, we establish convergence of contraction C0 semigroups in the weak topology on a general Banach space. We remove the restriction on a Banach space X and weaken the condition on resolvents of generators in the previous results [4, 5].
참고문헌 (7)
- W. Arendt, "Vector-Valued Laplace Transforms and Cauchy Problems", Monographs in Math, 96 (2001), Birkhauser
- T. Eisner, "On the weak analogue of the Trotter-Kato theorem", Taiwanese J. Math, 14, pp.1411~1416 (2010)
- K. Engel, "One-Parameter Semigroups for linear evolution equations" (2000), Springer
- 이영섭, "Trotter_Kato theorem in the weak topology", 한국수학논문집, 21(3), pp.325~330 (2013), 강원경기수학회[DOI]
- G. Marinoschi, "Theorem in the weak topology and an application to a singular perturbed problem", J. Math. Anal. Appl, 386, pp.50~60 (2012)
- A. Pazy, "Semigroups of linear operators and applications to partial differential equations" (1983), Springer-Verlag
- T.J. Xiao, "Approximations of Laplace transforms and integrated semigroups", pp.202~220 (2000), J. Funct. Anal
관련 논문AI추천
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