Results of ω-order reversing partial contraction mapping generating a differential operator
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Date
2021
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Journal ISSN
Volume Title
Publisher
Malaya Journal of Matematik
Abstract
In this paper, we presents some partial differential operators defined on suitably chosen function spaces such as H^{−1}(Ω), L^{p}(Ω), with p∈[1,+∞). Laplace operator on a domain Ω in R^{n} subject to the Dirichlet boundary condition was established by generating a C_0-semigroup, which is generated by an infinitesimal generator ω-order reversing partial contraction (ω-ORCP_n).
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Keywords
ω-ORCP_n, C_0-semigroup, C_0-Semigroup of Contraction, Differential Operator