Emeritus Prof Des Evans

2021

• 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)

2019

• Brown, B., Evans, W. D. and Wood, I. G. 2019. Positive self-adjoint operator extensions with applications to differential operators. Integral Equations and Operator Theory 91, article number: 41. (10.1007/s00020-019-2540-4)

2016

• Brown, B. M. and Evans, W. D. 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)

2015

• Balinsky, A., Evans, W. D. and Roger, L. 2015. The analysis and geometry of Hardy's Inequality. Springer.

2013

• Edmunds, D. E., Evans, W. D. and Harris, D. J. 2013. The structure of compact linear operators in Banach spaces. Revista Mathematica Complutense 26(2), pp. 445-469. (10.1007/s13163-012-0107-x)

2012

• Balinsky, A., Evans, W. D. and Lewis, R. T. 2012. Hardy's inequality and curvature. Journal of Functional Analysis 262(2), pp. 648-666. (10.1016/j.jfa.2011.10.001)

2011

• Balinsky, A., Evans, W. D. and Umeda, T. 2011. The Dirac-Hardy and Dirac-Sobolev inequalities in L1. Publications of the Research Institute for Mathematical Sciences 47(3), pp. 791-801. (10.2977/PRIMS/51)

2010

• Balinsky, A. and Evans, W. D. 2010. Some recent results on Hardy-type inequalities. Applied Mathematics and Information Sciences 4(2), pp. 191-208.
• Balinsky, A. and Evans, W. D. 2010. Spectral Analysis of Relativistic Operators. London: Imperial College Press.

2009

• Evans, W. D. and Schmidt, K. M. 2009. A discrete Hardy-Laptev-Weidl type inequality and associated Schrödinger-type operators. Revista Matemática Complutense 22(1), pp. 75-90.

2008

• Balinsky, A., Evans, W. D. and Saito, Y. 2008. Dirac-Sobolev inequalities and estimates for the zero modes of massless Dirac operators. Journal of Mathematical Physics 49(4), article number: 43514. (10.1063/1.2912229)
• Balinsky, A., Evans, W. and Hundertmark, D. 2008. On inequalities of Hardy-Sobolev type. Banach Journal of Mathematical Analysis (BJMA) 2(2), pp. 94-106.

2006

• Brown, B. M. and Evans, W. D. 2006. Foreword. Journal of Computational and Applied Mathematics 194(1), pp. 1. (10.1016/j.cam.2005.06.032)

2005

• Evans, W. D. and Solomyak, M. 2005. Smilansky's model of irreversible quantum graphs: I. The absolutely continuous spectrum. Journal of Physics A: Mathematical and General 38(21), pp. 4611-4627. (10.1088/0305-4470/38/21/007)

2004

• Brown, B. M. and Evans, W. D. 2004. Preface [Editorial]. Journal of Computational and Applied Mathematics 171(1-2), pp. ix. (10.1016/j.cam.2004.01.004)
• Evans, W. D., Harris, D. J. and Saito, Y. 2004. On the approximation numbers of Sobolev embeddings on singular domains and trees. The Quarterly Journal of Mathematics 55(3), pp. 267-302. (10.1093/qmath/hag050)
• Brown, B. M., Eastham, M. S. P. and Evans, W. D. 2004. Laudatum. Journal of computational and applied mathematics 171(1-2), pp. xi-xiii. (10.1016/j.cam.2004.01.034)

2003

• Brown, B. M., Evans, W. D. and Plum, M. 2003. Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems. Proceedings of the London Mathematical Society 87(2), pp. 419-450. (10.1112/S0024611503014096)

2002

• Balinsky, A. and Evans, W. D. 2002. On the Zero Modes of Weyl-Dirac Operators and their Multiplicity. Bulletin of the London Mathematical Society 34(2), pp. 236-242. (10.1112/S0024609301008736)
• Balinsky, A. and Evans, W. D. 2002. On the spectral properties of the Brown-Ravenhall operator. Journal of Computational and Applied Mathematics 148(1), pp. 239-255. (10.1016/S0377-0427(02)00583-6)

2001

• Balinsky, A., Evans, W. D. and Lewis, R. T. 2001. On the number of negative eigenvalues of Schrödinger operators with an Aharanov-Bohm magnetic field. Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences 457(2014), pp. 2481-2489. (10.1098/rspa.2001.0851)
• Evans, W. D., Harris, D. J. and Lang, J. 2001. The approximation numbers of Hardy-type operators on trees. Proceedings of the London Mathematical Society 83(2), pp. 390-418. (10.1112/plms/83.2.390)
• Balinsky, A. and Evans, W. D. 2001. On the zero modes of Pauli operators. Journal of Functional Analysis 179(1), pp. 120-135. (10.1006/jfan.2000.3670)
• Balinsky, A., Evans, W. D. and Lewis, R. T. 2001. Sobolev, Hardy and CLR inequalities associated with Pauli operators in R3 [Letter]. Journal of Physics A: Mathematical and General 34(5), pp. L19-L23. (10.1088/0305-4470/34/5/101)

1999

• Balinsky, A. and Evans, W. D. 1999. On the stability of relativistic one-electron molecules [Letter]. Journal of Physics A: Mathematical and General 32(11), pp. L129-L132. (10.1088/0305-4470/32/11/001)
• Balinsky, A. and Evans, W. D. 1999. Stability of One-Electron Molecules in the Brown-Ravenhall Model. Communications in Mathematical Physics 202(2), pp. 481-500. (10.1007/s002200050592)

1998

• Balinsky, A. and Evans, W. D. 1998. On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded Eigenvalues. Letters in Mathematical Physics 44(3), pp. 233-248. (10.1023/A:1007425400991)

1993

• Beynon, M. J., Brown, B. M. and Evans, W. D. 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)