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Ian Wood
Researcher at University of Kent
Publications - 58
Citations - 652
Ian Wood is an academic researcher from University of Kent. The author has contributed to research in topics: Spectrum (functional analysis) & Operator (computer programming). The author has an hindex of 12, co-authored 57 publications receiving 601 citations. Previous affiliations of Ian Wood include Cardiff University & Aberystwyth University.
Papers
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M ‐functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems
TL;DR: In this paper, the spectral properties of boundary value problems are examined for both ODE and PDE examples where it is possible for the operator to possess spectral points that cannot be detected by the M -function.
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Boundary triplets and $M$-functions for non-selfadjoint operators, with applications to elliptic PDEs and block operator matrices
TL;DR: In this article, the authors considered the Weyl M-function of extensions of the adjoint pair of operators and established results on the relationship between the M function as an analytic function of a spectral parameter and the spectrum of the extension.
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Boundary triplets and M-functions for non-selfadjoint operators, with applications to elliptic PDEs and block operator matrices
TL;DR: In this article, the authors considered the Weyl M-function of extensions of the adjoint pair of operators and established results on the relationship between the M function as an analytic function of a spectral parameter and the spectrum of the extension.
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Maximal L p -regularity for the Laplacian on Lipschitz domains
TL;DR: In this article, the Laplacian with Dirichlet or Neumann boundary conditions on bounded Lipschitz domains Ω was considered and it was shown that under certain restrictions on the range of p, these operators generate positive analytic contraction semigroups on Lp(Ω) which implies maximal regularity for the corresponding Cauchy problems.
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Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems
Helmut Abels,Gerd Grubb,Ian Wood +2 more
TL;DR: For a strongly elliptic second-order operator A on a bounded domain R n, this paper showed how to interpret the general closed L2()-realizations of A as representing boundary conditions (generally nonlocal), when the domain and coe�-cients are smooth.