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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Convergence of difference approximations and nonlinear semigroups


Author: Shigeo Kanda
Journal: Proc. Amer. Math. Soc. 108 (1990), 741-748
MSC: Primary 47H15; Secondary 34G20, 47H20
DOI: https://doi.org/10.1090/S0002-9939-1990-0990425-1
MathSciNet review: 990425
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Abstract: We give a convergence theorem for the difference approximation for the evolution equation $ (d/dt)u(t) \in Au(t)$ and a generation theorem of nonlinear semigroups for "directed" dissipative operators $ A$ in a real Hilbert space.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1990-0990425-1
Keywords: dissipative, evolution equation, semigroup, Hilbert space
Article copyright: © Copyright 1990 American Mathematical Society