Results of \(\omega\)-order reversing partial contraction mapping generating a differential operator
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DOI:
https://doi.org/10.26637/mjm0903/004Abstract
In this paper, we presents some partial differential operators defined on suitably chosen function spaces such as \(H^{-1}(\Omega)\), \(L^{p}(\Omega)\), with \(p \in [1,+\infty)\). Laplace operator on a domain \(\Omega \in \mathbb{R}^{n}\) subject to the Dirichlet boundary condition was established by generating a \(C_{0}\)-semigroup, which is generated by an infinitesimal generator \(\omega\)-order reversing partial contraction (\(\omega\)-\(ORCP_n\)).
Keywords:
\(C_0\)-semigroup, \(C_0\)-Semigroup of contraction, Differential Operator, \(\omega-ORCP_n\)Mathematics Subject Classification:
40A05 , 40A99, 46A70, 46A99- Pages: 91-98
- Date Published: 01-07-2021
- Vol. 9 No. 03 (2021): Malaya Journal of Matematik (MJM)
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Copyright (c) 2021 Akinola Yussuff Akinyele, Jos Usman Abubakar, Kareem Akanbi Bello, Liman Kinbokun Alhassan, Moses Adebowale Aasa
This work is licensed under a Creative Commons Attribution 4.0 International License.
