Brown, B. Malcolm, Schmidt, Karl Michael, Shipman, Stephen P. and Wood, Ian 2021. The inverse problem for a spectral asymmetry function of the Schrödinger operator on a finite interval. Mathematika 67 (4) , pp. 788-806. 10.1112/mtk.12105 |
Brown, B. M., Evans, W. D. and Wood, I. G. 2021. Non-negative extensions of Hamiltonian systems. In: Fritz Gesztesy and Andrei Martinez-Finkelshtein eds. From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory, Operator Theory: Advances and Applications, Springer, pp. 15-39. (10.1007/978-3-030-75425-9_2) |
Brown, B. M., Hoang, V., Plum, M., Radosz, M. and Wood, I. 2020. Gap localization of multiple TE‐Modes by arbitrarily weak defects. Journal of the London Mathematical Society 102 (2) , pp. 773-795. 10.1112/jlms.12337 |
Brown, B. Malcolm, Marletta, Marco, Naboko, Serguei and Wood, Ian 2020. The functional model for maximal dissipative operators (translation form): an approach in the spirit of operator knots. Transactions of the American Mathematical Society 373 , pp. 4145-4187. 10.1090/tran/8029 |
Bennewitz, Christer, Brown, Malcolm and Weikard, Rudi 2020. Spectral and scattering theory for ordinary differential equations: Vol. I: Sturm–Liouville equations. Springer International Publishing. |
Brown, B Malcolm, Klaus, Martin, Malamud, Mark, Mogilevskii, Vadim and Wood, Ian 2019. Weyl solutions and j-selfadjointness for Dirac operators. Journal of Mathematical Analysis and Applications 480 (2) , 123344. 10.1016/j.jmaa.2019.07.034 |
Brown, Brian M., Marletta, Marco, Naboko, Sergey and Wood, Ian 2019. The detectable subspace for the Friedrichs model. Integral Equations and Operator Theory 91 , 49. 10.1007/s00020-019-2548-9 |
Brown, Brian, Evans, W D. and Wood, I G. 2019. Positive self-adjoint operator extensions with applications to differential operators. Integral Equations and Operator Theory 91 , 41. 10.1007/s00020-019-2540-4 |
Walker, David W., Kramer, Stephan C., Biebl, Fabian R. A., Ledger, Paul D. and Brown, Malcolm 2019. Accelerating magnetic induction tomography-based imaging through heterogeneous parallel computing. Concurrency and Computation: Practice and Experience 31 (17) , e5265. 10.1002/cpe.5265 |
Alberti, Giovanni S., Brown, Malcolm, Marletta, Marco and Wood, Ian 2019. Essential spectrum for Maxwell's equations. Annales Henri Poincaré 20 , pp. 1471-1499. 10.1007/s00023-019-00762-x |
Brown, Brian Malcolm, Langer, Heinz and Tretter, Christiane 2019. Compressed resolvents and reduction of spectral problems on star graphs. Complex Analysis and Operator Theory 13 (1) , pp. 291-320. 10.1007/s11785-018-0793-6 |
Brown, B. M., Hoang, V., Plum, M., Radosz, M. and Wood, I. 2017. Gap localization of TE-Modes by arbitrarily weak defects. Journal of the London Mathematical Society 95 (3) , pp. 942-962. 10.1112/jlms.12046 |
Brown, Brian Malcolm, Marletta, Marco, Wood, I. and Naboko, S. 2017. Inverse problems for boundary triples with applications. Studia Mathematica 237 (3) , pp. 241-275. 10.4064/sm8613-11-2016 |
Brown, Malcolm, Marletta, Marco and Symons, Freddy 2016. Uniqueness from discrete data in an inverse spectral problem for a pencil of ordinary differential operators. Journal of the London Mathematical Society 94 (3) , pp. 793-813. 10.1112/jlms/jdw059 |
Brown, Brian Malcolm, Marletta, Marco, Naboko, S. N. and Wood, I. G.
2016.
Detectable subspaces and inverse problems for Hain-Lüst-type operators.
Mathematische Nachrichten
289
(17-18)
, pp. 2108-2132.
10.1002/mana.201500231
Item availability restricted. |
Bennewitz, C., Brown, B. M. and Weikard, R. 2016. The spectral problem for the dispersionless Camassa-Holm equation. Presented at: International Workshop on Operator Theory and Applications, Amsterdam, The Netherlands, 14-18 July 2014. Published in: Eisner, Tanja, Jacob, Birgit, Ran, Andre and Zwart, Hans eds. Operator Theory, Function Spaces, and Applications: International Workshop on Operator Theory and Applications, Amsterdam, July 2014. Operator Theory: Advances and Applications Springer, pp. 67-90. 10.1007/978-3-319-31383-2_4 |
Brown, Brian Malcolm and Evans, William Desmond 2016. Selfadjoint and m sectorial extensions of Sturm-Liouville operators. Integral Equations and Operator Theory 85 (2) , pp. 151-166. 10.1007/s00020-016-2296-z |
Brown, B. M., Marletta, M. and Reyes Gonzales, J. M. 2016. Uniqueness for an inverse problem in electromagnetism with partial data. Journal of Differential Equations 260 (8) , pp. 6525-6547. 10.1016/j.jde.2016.01.002 |
Brown, B. M., Hoang, V., Plum, M. and Wood, I. 2015. On the spectrum of waveguides in planar photonic bandgap structures. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471 (2176) , 20140673. 10.1098/rspa.2014.0673 |
Brown, B. M., Hoang, V., Plum, M. and Wood, I. 2014. Spectrum created by line defects in periodic structures. Mathematical News / Mathematische Nachrichten 287 (17-18) , pp. 1972-1985. 10.1002/mana.201300165 |
Boegli, Sabine, Brown, B. Malcolm, Marletta, Marco, Tretter, Christiane, Tretter, Christine and Wagenhoffer, Markus 2014. Guaranteed resonance enclosures and exclosures for atoms and molecules. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470 (2171) , 20140488. 10.1098/rspa.2014.0488 |
Brown, Brian Malcolm, Langer, Heinz and Langer, Matthias 2013. Bessel-type operators with an inner singularity. Integral Equations and Operator Theory 75 (2) , pp. 257-300. 10.1007/s00020-012-2023-3 |
Brown, Brian Malcolm, Eastham, Michael S. P. and Schmidt, Karl Michael 2013. Periodic differential operators. Operator Theory: Advances and Applications, vol. 230. Basel: Birkhäuser. |
Brown, Brian Malcolm and Schmidt, Karl Michael 2012. On the HELP Inequality for Hill Operators on Trees. In: Brown, Brian Malcolm, Lang, Jan and Wood, Ian G. eds. Spectral Theory, Function Spaces and Inequalities: New Techniques and Recent Trends, Operator Theory: Advances and Applications, vol. 219. Basel: Springer, pp. 21-36. (10.1007/978-3-0348-0263-5_2) |
Bennewitz, C., Brown, Brian Malcolm and Weikard, R. 2012. Scattering and inverse scattering for a left-definite Sturm–Liouville problem. Journal of Differential Equations 253 (8) , pp. 2380-2419. 10.1016/j.jde.2012.06.016 |
Brown, Brian Malcolm and Jais, Mathias 2011. A variational approach to an electromagnetic inverse problem. Inverse Problems 27 (4) , 045011. 10.1088/0266-5611/27/4/045011 |
Brown, Brian Malcolm, Langer, Matthias, Marletta, Marco, Tretter, Christine and Wagenhofer, Markus 2010. Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics. LMS Journal of Computation and Mathematics 13 , pp. 65-81. 10.1112/S1461157008000466 |
Hiscox, Aaron Joseph, Brown, Brian Malcolm and Marletta, Marco 2010. On the low energy behavior of Regge poles. Journal of Mathematical Physics 51 (10) , 102104. 10.1063/1.3496811 |
Brown, Brian Malcolm, Christiansen, Jacob S. and Schmidt, Karl Michael 2009. Spectral properties of a q-Sturm–Liouville Operator. Communications in Mathematical Physics 287 (1) , pp. 259-274. 10.1007/s00220-008-0623-1 |
Brown, Brian Malcolm, Eastham, M. S. P. and Wood, I . G. 2009. Conditions for the spectrum associated with an asymptotically straight leaky wire to comprise the interval (−∞, ∞). Journal of Physics A: Mathematical and Theoretical 42 (5) , 055207. 10.1088/1751-8113/42/5/055207 |
Brown, Brian Malcolm, Naboko, Serguei and Weikard, Rudi 2009. The Inverse Resonance Problem for Hermite Operators. Constructive Approximation 30 (2) , pp. 155-174. 10.1007/s00365-008-9037-8 |
Hiscox, Aaron Joseph, Brown, Brian Malcolm and Marletta, M. 2009. Analysis of Regge poles for the Schrodinger equation. Proceedings of The Royal Society. A. Mathematical Physical and Engineering Sciences 465 (2109) , pp. 2813-2823. 10.1098/rspa.2009.0091 |
Brown, Brian Malcolm, Eastham, M. S. P. and Wood, I. G. 2009. Estimates for the lowest eigenvalue of a star graph. Journal of Mathematical Analysis and Applications 354 (1) , pp. 24-30. 10.1016/j.jmaa.2008.12.014 |
Brown, Brian Malcolm, Grubb, G. and Wood, I. G. 2009. M-functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems. Mathematische Nachrichten 282 (3) , pp. 314-347. 10.1002/mana.200810740 |
Brown, Brian Malcolm, Hinchcliffe, James, Marletta, Marco, Naboko, Serguei and Wood, Ian 2009. The abstract Titchmarsh-Weyl M-function for adjoint operator pairs and its relation to the spectrum. Integral Equations and Operator Theory 63 (3) , pp. 297-320. 10.1007/s00020-009-1668-z |
Bennewitz, C., Brown, Brian Malcolm and Weikard, R. 2009. Inverse Spectral and Scattering Theory for the Half-Line Left-Definite Sturm-Liouville Problem. SIAM Journal on Mathematical Analysis 40 (5) , pp. 2105-2131. 10.1137/080724575 |
Brown, Brian Malcolm, Hoang, Vu, Plum, Michael and Wood, Ian G. 2009. On spectral bounds for photonic crystal waveguides. International Series of Numerical Mathematics 157 , pp. 23-30. 10.1007/978-3-7643-8773-0_3 |
Brown, Brian Malcolm, Marletta, Marco, Naboko, Serguei and Wood, Ian 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 77 (3) , pp. 700-718. 10.1112/jlms/jdn006 |
Aumann, S., Brown, Brian Malcolm and Schmidt, Karl Michael 2008. A Hardy-Littlewood-type inequality for the p-Laplacian. Bulletin of the London Mathematical Society 40 (3) , pp. 525-531. 10.1112/blms/bdn035 |
Brown, Brian Malcolm, Langer, M. and Schmidt, Karl Michael 2008. The HELP inequality on trees. Presented at: Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, 8 January - 29 June 2007. Published in: Exner, P., Keating, J. P., Kuchment, P. A., Sunada, T. and Teplyaev, A. eds. Analysis on Graphs and Its Applications. Proceedings of Symposia in Pure Mathematics , vol. 77. Providence, RI: American Mathematical Society, pp. 337-354. |
Brown, Brian Malcolm and Eastham, M. S. P. 2008. Titchmarsh's asymptotic formula for periodic eigenvalues and an extension to the p-Laplacian. Journal of Mathematical Analysis and Applications 338 (2) , pp. 1255-1266. 10.1016/j.jmaa.2007.06.017 |
Brown, Brian Malcolm, Eastham, M. S. P. and Wood, I. G. 2008. Conditions for the spectrum associated with an asymptotically straight leaky wire to contain an interval [− α2/4, ∞). Archiv der Mathematik 90 (6) , pp. 554-558. 10.1007/s00013-008-2612-1 |
Brown, Brian Malcolm, Eastham, M. S. P. and Wood, I. G. 2008. An example on the discrete spectrum of a star graph. Presented at: Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, 8 January - 29 June 2007. Published in: Exner, P., Keating, J. P., Kuchment, P., Sunada, T. and Teplyaev, A. eds. Analysis on graphs and its applications. Proceedings of Symposia in Pure Mathematics , vol. 77. Providence, RI: American Mathematical Society, pp. 331-335. |
Brown, Brian Malcolm and Eastham, M. S. P. 2007. Eigenvalues of the radial p-Laplacian with a potential on (0,∞). Journal of Computational and Applied Mathematics 208 (1) , pp. 111-119. 10.1016/j.cam.2006.10.046 |
Brown, Brian Malcolm, Lang, J. and Lewis, R.T. 2007. Preface. Journal of computational and applied mathematics 208 (1) , pp. 1-2. 10.1016/j.cam.2006.10.089 |
Brown, Brian Malcolm and Eastham, M.S.P. 2007. Bounds for the positive eigenvalues of the p-Laplacian with decaying potential. Journal of Mathematical Analysis and Applications 325 (1) , pp. 734-744. 10.1016/j.jmaa.2006.01.058 |
Brown, Brian Malcolm and Evans, William Desmond 2006. Foreword. Journal of Computational and Applied Mathematics 194 (1) , p. 1. 10.1016/j.cam.2005.06.032 |
Brown, Brian Malcolm and Eastham, M .S .P. 2006. Extensions of the Kummer evaluation of a finite hypergeometric series. Journal of computational and applied mathematics 194 (1) , pp. 131-140. 10.1016/j.cam.2005.06.018 |
Brown, Brian Malcolm and Eastham, M. S. P. 2006. A note on the Dixon formula for a finite hypergeometric series. Korean Journal of Computational and Applied Mathematics 194 (1) , pp. 173-175. 10.1016/j.cam.2005.06.021 |
Brown, Brian Malcolm, Jais, M. and Kalmbach, B. M. 2006. A variational approach to inverse problems for anisotropic systems. Presented at: UAB International Conference on Differential Equations and Mathematical Physics, Birmingham, AL, USA, 29 March - 2 April 2005. Published in: Chernov, Nikolai, Karpeshina, Yulia, Knowles, Ian W., Lewis, Roger T. and Weikard, Rudi eds. Recent Advances in Differential Equations and Mathematical Physics. Contemporary Mathematics , vol. 412. Providence, RI: American Mathematical Society, pp. 87-102. |
Brown, Brian Malcolm and Weikard, Rudi 2005. A Borg-Levinson theorem for trees. Proceedings of The Royal Society A Mathematical physical and engineering sciences 461 (2062) , pp. 3231-3243. 10.1098/rspa.2005.1513 |
Brown, Brian Malcolm, Jais, Mathias and Knowles, I. W. 2005. A variational approach to an elastic inverse problem. Inverse Problems 21 (6) , pp. 1953-1973. 10.1088/0266-5611/21/6/010 |
Brown, Brian Malcolm, Naboko, S. and Weikard, R. 2005. The inverse resonance problem for Jacobi operators. Bulletin of the London Mathematical Society 37 (05) , pp. 727-737. 10.1112/S0024609305004674 |
Brown, Brian Malcolm and Christiansen, Jacob S. 2005. On the Krein and Friedrichs extensions of a positive Jacobi operator. Expositiones Mathematicae 23 (2) , pp. 179-186. 10.1016/j.exmath.2005.01.020 |
Brown, Brian Malcom and Evans, William Desmond 2004. Preface [Editorial]. Journal of Computational and Applied Mathematics 171 (1-2) , ix. 10.1016/j.cam.2004.01.004 |
Brown, Brian Malcolm and Reichel, W. 2004. Eigenvalues of the radially symmetric p-Laplacian in Rn. Journal of the London Mathematical Society 69 (3) , pp. 657-675. 10.1112/S002461070300512X |
Brown, Brian Malcolm and Marletta, Marco 2004. Spectral inclusion and spectral exactness for PDEs on exterior domains. IMA Journal of Numerical Analysis 24 (1) , pp. 21-43. 10.1093/imanum/24.1.21 |
Brown, Brian Malcolm, Eastham, Michael S. P., Hinz, Andreas M. and Schmidt, Karl Michael 2004. Distribution of eigenvalues in gaps of the essential spectrum of Sturm-Liouville operators - a numerical approach. Journal Of Computational Analysis And Applications 6 (1) , pp. 85-95. |
Brown, Brian Malcolm and Eastham, M. S. P. 2004. Extended Hurwitz results for hypergeometric functions arising in spectral theory. Journal of Computational and Applied Mathematics 171 (1-2) , pp. 113-121. 10.1016/j.cam.2004.01.006 |
Brown, Brian Malcolm, Eastham, M. S. P. and Evans, William Desmond 2004. Laudatum. Journal of computational and applied mathematics 171 (1-2) , xi-xiii. 10.1016/j.cam.2004.01.034 |
Brown, Brian Malcolm and Weikard, R. 2004. The inverse resonance problem for perturbations of algebro-geometric potentials. Inverse Problems 20 (2) , pp. 481-494. 10.1088/0266-5611/20/2/011 |
Brown, Brian Malcolm, Knowles, I. and Weikard, Rudi 2003. On the inverse resonance problem. Journal of the London Mathematical Society 68 (2) , pp. 383-401. 10.1112/S0024610703004654 |
Brown, Brian Malcolm, Evans, William Desmond and Plum, Michael 2003. Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems. Proceedings of the London Mathematical Society 87 (2) , pp. 419-450. 10.1112/S0024611503014096 |
Brown, Brian Malcolm and Marletta, Marco 2001. Spectral inclusion and spectral exactness for singular non-self-adjoint Sturm-Liouville problems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 457 (2005) , pp. 117-139. 10.1098/rspa.2000.0659 |
Brown, Brian Malcolm, Jimack, P. K. and Mihajlović, M D. 2001. An efficient direct solver for a class of mixed finite element problems. Applied Numerical Mathematics 38 (1-2) , pp. 1-20. 10.1016/S0168-9274(00)00048-9 |
Brown, Brian Malcolm and Kirby, V. G. 2000. A computational investigation of an integro-differential inequality with periodic potential. Journal of Inequalities and Applications 5 (4) , pp. 321-342. 10.1155/S1025583400000163 |
Brown, Brian Malcolm, Davies, E. B., Jimack, P. K. and Mihajlovic, M. D. 2000. A numerical investigation of the solution of a class of fourth-order eigenvalue problems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 456 (1998) , pp. 1505-1521. 10.1098/rspa.2000.0573 |
Brown, Brian Malcolm, Eastham, M. S. P., Hinz, A. M., Kriecherbauer, Thomas, McCormack, Daniel K. R. and Schmidt, Karl Michael 1998. Welsh Eigenvalues of radially periodic Schrödinger operators. Journal of Mathematical Analysis and Applications 225 (1) , pp. 347-357. 10.1006/jmaa.1998.6048 |
Beynon, Malcolm James, Brown, Brian Malcolm and Evans, William Desmond 1993. On an Inequality of the Kolmogorov Type for a Second-Order Differential Expression. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 442 (1916) , pp. 555-569. 10.1098/rspa.1993.0121 |