### Publications / preprints:

*A. Arnold, S. Geevers, I. Perugia, D. Ponomarev,***"On the exponential time-decay for the one-dimensional wave equation with variable coefficients"**,*Communications on Pure & Applied Analysis*[submitted], 2022.*A. Arnold, S. Geevers, I. Perugia, D. Ponomarev,***"An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients"**,*Computers and Mathematics with Applications*[accepted], 2021.*D. Ponomarev,***"Asymptotic solution to convolution integral equations on large and small intervals"**,*Proceedings of the Royal Society A*, 477:20210025, 2021.*D. Ponomarev,***"Asymptotic solutions of convolution integral equations with even positive definite kernels on a small or large interval"**,*Proceedings of UKBIM12*, 2019.*L. Baratchart, J. Leblond, D. Ponomarev,***"Solution of a homogeneous version of Love type integral equation in different asymptotic regimes"**,*Integral Methods in Science and Engineering*, Springer, 2019.*L. Bourgeois, J. Dardé, D. Ponomarev,***"An inverse obstacle problem for the wave equation in a finite time domain"**,*Inverse Problems and Imaging*, 13 (2), 377-400, 2019.*L. Baratchart, J. Leblond, E. Lima, D. Ponomarev,***"Magnetization moment recovery using Kelvin transformation and Fourier analysis"**,*Journal of Physics: Conf. Ser.*, 904, 2017.*J. Leblond, D. Ponomarev,***"On some extremal problems for analytic functions with constraints on real or imaginary parts"**,*Advances in Complex Analysis and Operator Theory*, 219-236, 2017.*J. Leblond, D. Ponomarev,***"Recovery of analytic functions with prescribed pointwise values on the disk from partial boundary data"**,*J. Inverse Ill-Posed Probl.*, 25 (2), 2017.*L. Baratchart, J. Leblond, D. Ponomarev,***"Constrained optimization in classes of analytic functions with prescribed pointwise values"**,*arXiv preprint*, July 2014.*D. Pelinovsky, D. Ponomarev,***"Justification of a nonlinear Schrödinger model for laser beams in photopolymers"**,*Z. Angew. Math. Phys.*, 65, 405-433, 2014.*D. Ponomarev, S. Leble,***"Molecular zero-range potential method and its application to cyclic structures"**,*arXiv preprint*, January 2011.*S. Leble, D. Ponomarev,***"Dressing of zero-range potentials into realistic molecular potentials of finite range"**,*Task Quarterly*, 14, 29-34, 2010.*D. Ponomarev, O. Nagornov,***"On effective wave propagation characteristics in porous fluid-saturated medium containing fluid inclusions"**,*Geophys. J. Int.*, 182 (2), 1043-1057, 2010.*D. Ponomarev*,**"High-order time integration Leap-Frog schemes combined with a Discontinuous Galerkin method for the solution of the Maxwell equations"**,*INRIA preprint*, October 2009.*O. Nagornov, D. Ponomarev,***"Plane wave scattering on spherical inclusions of different types in fluid-saturated porous media"**[accepted with minor revisions in*Mechanics of Solids*; in Russian], September 2009.

### Papers in preparation:

**"Revisiting the limiting amplitude principle for the wave equation with variable coefficients"**(with*A. Arnold, S. Geevers, I. Perugia*).**"On a transformation of Schrödinger equation to a simple first order equation with complex conjugation: theoretical and practical applications"**.**"On some space-time integral equations pertinent to the punch problem with wear"**.**"Recovery of magnetization features from partial field measurements: Fourier and Kelvin transforms approaches"**(with*J. Leblond, L. Baratchart, E. Lima*).**"On the asymptotic extension of convolution theorem for Fourier cosine transform for certain integral equations on half-line"**.**"New method for construction of asymptotic solution for Prandtl lifting line equation"**.

### Theses:

**"Some inverse problems with partial data"**, Ph.D. Thesis ,*Université Nice - Sophia Antipolis / INRIA Méditerranée*, France, defended on*14/06/2016*, supervised by*Juliette Leblond, Laurent Baratchart*.**"Justification of a nonlinear Schrödinger model for polymers"**, M.Sc. Thesis ,*McMaster University [Department of Mathematics and Statistics]*, Canada, defended on*03/05/2012*, supervised by Dmitry Pelinovsky.**"Electronic states in Zero-Range Potential models of nanostructures with a cyclic symmetry"**, M.Sc. Thesis ,*Gdansk University of Technology [Faculty of Theoretical Physics and Applied Mathematics]*, Poland, defended on*22/06/2010*, supervised by Sergey Leble.