School of Mathematics, Statistics & Actuarial Science

About

Ian is Deputy Examinations Officer for undergraduate Mathematics programmes and serves on the School's Research Postgraduate Staff Student Consultative Committee.

Contact Information

Address

Room 132

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Publications

Also view these in the Kent Academic Repository

Article
Judge, E., Naboko, S. and Wood, I. (2018). Spectral results for perturbed periodic Jacobi matrices using the discrete Levinson technique. Studia Mathematica.
Judge, E., Naboko, S. and Wood, I. (2018). Embedded eigenvalues for perturbed periodic Jacobi operators using a geometric approach. Journal of Difference Equations and Applications [Online]. Available at: https://doi.org/10.1080/10236198.2018.1468890.
Brown, B. et al. (2017). Inverse problems for boundary triples with applications. Studia Mathematica [Online]. Available at: http://dx.doi.org/10.4064/sm8613-11-2016.
Brown, B. et al. (2017). Gap Localization of TE-Modes by Arbitrarily Weak Defects. Journal of the London Mathematical Society [Online] 95:942-962. Available at: http://dx.doi.org/10.1112/jlms.12046.
Fischbacher, C., Naboko, S. and Wood, I. (2016). The Proper Dissipative Extensions of a Dual Pair. Integral Equations and Operator Theory [Online] 85:573-599. Available at: http://dx.doi.org/10.1007/s00020-016-2310-5.
Judge, E., Naboko, S. and Wood, I. (2016). Eigenvalues for perturbed periodic Jacobi matrices by the Wigner-von Neumann approach. Integral Equations and Operator Theory [Online] 85:427-450. Available at: http://dx.doi.org/10.1007/s00020-016-2302-5.
Brown, B. et al. (2016). Detectable subspaces and inverse problems for Hain-Luest-type operators. Mathematische Nachrichten [Online]. Available at: http://dx.doi.org/10.1002/mana.201500231.
Brown, B. et al. (2015). On the spectrum of waveguides in planar photonic bandgap structures. Proceedings of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences [Online]. Available at: http://rspa.royalsocietypublishing.org/content/471/2176/20140673.abstract?ijkey=FLRWoEIYzrPaXy6&keytype=ref.
Abels, H., Grubb, G. and Wood, I. (2014). Extension Theory and Krein-type Resolvent Formulas for Nonsmooth Boundary Value Problems. Journal of Functional Analysis [Online] 266:4037-4100. Available at: http://www.sciencedirect.com/science/article/pii/S0022123614000342.
Brown, B. et al. (2014). Spectrum created by line defects in periodic structures. Mathematische Nachrichten [Online] 287:1972-1985. Available at: http://dx.doi.org/10.1002/mana.201300165.
Brown, B., Grubb, G. and Wood, I. (2009). M -functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems. Mathematische Nachrichten [Online] 282:314-347. Available at: http://dx.doi.org/10.1002/mana.200810740.
Brown, B., Eastham, M. and Wood, I. (2009). Estimates for the lowest eigenvalue of a star graph. Journal of Mathematical Analysis and Applications [Online] 354:24-30. Available at: http://dx.doi.org/10.1016/j.jmaa.2008.12.014.
Brown, B. et al. (2009). The Abstract TITCHMARSH-WEYL M-Function for adjoint operator pairs and its relation to the Spectrum. Integral Equations and Operator Theory [Online] 63:297-320. Available at: http://dx.doi.org/10.1007/s00020-009-1668-z.
Brown, B., Eastham, M. and Wood, I. (2009). Conditions for the spectrum associated with an asymptotically straight leaky wire to comprise the interval (−∞, ∞). Journal of Physics A: Mathematical and Theoretical [Online] 42. Available at: http://dx.doi.org/10.1088/1751-8113/42/5/055207.
Brown, B., Eastham, M. and Wood, I. (2008). Conditions for the spectrum associated with an asymptotically straight leaky wire to contain an interval [− α^2/4, ∞). Archiv der Mathematik [Online] 90:554-558. Available at: http://dx.doi.org/10.1007/s00013-008-2612-1.
Brown, B. et al. (2008). Boundary triplets and M-functions for non-selfadjoint operators, with applications to elliptic PDES and block operator matrices. Journal of the London Mathematical Society [Online] 77:700-718. Available at: http://dx.doi.org/10.1112/jlms/jdn006.
Wood, I. (2007). Maximal L^p -regularity for the Laplacian on Lipschitz domains. Mathematische Zeitschrift [Online] 255:855-875. Available at: http://dx.doi.org/10.1007/s00209-006-0055-6.
Hieber, M. and Wood, I. (2007). The Dirichlet problem in convex bounded domains for operators in non-divergence form with L∞-coefficients. Differential Integral Equations 20:721-734.
Geissert, M. et al. (2005). The Ornstein-Uhlenbeck semigroup in exterior domains. Archiv der Mathematik [Online] 85:554-562. Available at: http://link.springer.com.chain.kent.ac.uk/article/10.1007%2Fs00013-005-1400-4.
Book section
Brown, B., Evans, W. and Wood, I. (2013). Some spectral properties of Rooms and Passages domains and their skeletons. in: Holden, H., Simon, B. and Teschl, G. eds. Spectral analysis, differential equations and mathematical physics: a festschrift in honor of Fritz Gesztesy's 60th birthday. Providence, RI, USA: AMS, pp. 69-85. Available at: http://www.ams.org.chain.kent.ac.uk/books/pspum/087/.
Brown, B. et al. (2011). Floquet-Bloch Theory for Elliptic Problems with Discontinuous Coefficients. in: Janas, J. et al. eds. Spectral Theory and Analysis: Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2008. Poland: Springer, pp. 1-20. Available at: http://dx.doi.org/10.1007/978-3-7643-9994-8_1.
Wood, I. (2009). The Ornstein-Uhlenbeck Semigroup in Bounded and Exterior Lipschitz Domains. in: Janas, J. et al. eds. Methods of Spectral Analysis in Mathematical Physics. Basel: Birkhaeuser, pp. 415-435. Available at: http://dx.doi.org/10.1007/978-3-7643-8755-6_21.
Brown, B. et al. (2009). On Spectral Bounds for Photonic Crystal Waveguides. in: Bandle, C. et al. eds. Inequalities and Applications. Basel: Birkhaeuser, pp. 23-30. Available at: http://dx.doi.org/10.1007/978-3-7643-8773-0_3.
Hieber, M. and Wood, I. (2003). Asymptotics of perturbations to the wave equation. in: Evolution equations. New York: Marcel Dekker, pp. 243-252.
Conference or workshop item
Brown, B., Eastham, M. and Wood, I. (2008). An example on the discrete spectrum of a star graph. in: Exner, P. et al. eds. Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, January 8-June 29, 2007. American Mathematical Society, pp. 331-336.
Book
Wood, I. (2005). Elliptic and Parabolic Problems in Non-Smooth Domains. [Online]. Berlin: Logos-Verlag. Available at: http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=1059&lng=deu&id=.
Edited book
Brown, B.M., Lang, J. and Wood, I. eds. (2012). Spectral Theory, Function Spaces and Inequalities: New Techniques and Recent Trends. [Online]. Basel: Birkhaeuser. Available at: http://www.springer.com/birkhauser/mathematics/book/978-3-0348-0262-8.
Total publications in KAR: 27 [See all in KAR]
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Research Interests

Analysis of PDEs and spectral theory, in particular

  • study of spectral properties of non-selfadjoint operators via boundary triples and M-functions (generalised Dirichlet-to-Neumann maps)
  • regularity to solutions of PDEs in Lipschitz domains and
  • waveguides in periodic structures.
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Teaching

MA5513: Real Analysis 2 back to top

Research Supervisees

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School of Mathematics, Statistics and Actuarial Science (SMSAS), Sibson Building, Parkwood Road, Canterbury, CT2 7FS

Contact us

Last Updated: 07/09/2018