Данная работа была проделана при частичной
поддержке гранта EPSRC EP/K039407/1 и гранта Leverhulme
RPG-2014-02, а также грантом AP05130994 “Негармонический анализ
и его применения” (2018–2020 гг.) Комитета науки, Министерства
образования и науки Республики Казахстан.
Образец цитирования:
М. В. Ружанский, Н. Е. Токмагамбетов, “Об очень слабом решении волнового уравнения для гамильтониана в сингулярном электромагнитном поле”, Матем. заметки, 103:5 (2018), 790–793; Math. Notes, 103:5 (2018), 856–858
Bakhodirjon Toshtemirov, “Direct and inverse source problem for 2D Landau Hamiltonian operator”, Georgian Mathematical Journal, 31:1 (2024), 149
Robin Blommaert, Srdan Lazendić, Ljubica Oparnica, “The Euler-bernoulli equation with distributional coefficients and forces”, Computers & Mathematics with Applications, 123 (2022), 171
A. Altybay, M. Ruzhansky, M. E. Sebih, N. Tokmagambetov, “Fractional Schrödinger equation with singular potentials of higher order”, Rep. Math. Phys., 87:1 (2021), 129–144
S. Gordic, T. Levajkovic, L. Oparnica, “Stochastic parabolic equations with singular potentials”, Chaos Solitons Fractals, 151 (2021), 111245
Sh. Leng, L. Jin, “Numerical simulation of heat dissipation of surface mounted permanent magnet synchronous hub motor”, Therm. Sci., 25:6, A (2021), 4059–4066
D. Cardona Sanchez, “Sharp estimates for the Schrodinger equation associated with the twisted Laplacian”, Rep. Math. Phys., 85:1 (2020), 29–39
M. Ruzhansky, N. Tokmagambetov, B. T. Torebek, “On a non-local problem for a multi-term fractional diffusion-wave equation”, Fract. Calc. Appl. Anal., 23:2 (2020), 324–355
A. Altybay, M. Ruzhansky, N. Tokmagambetov, “A parallel hybrid implementation of the 2D acoustic wave equation”, Int. J. Nonlinear Sci. Numer. Simul., 21:7-8 (2020), 821–827
D. Serikbaev, N. Tokmagambetov, “A source inverse problem for the pseudo-parabolic equation with the fractional Sturm-Liouville operator”, Bull. Karaganda Univ-Math., 100:4 (2020), 143–151
Х. К. Мунос, М. В. Ружанский, Н. Е. Токмагамбетов, “Акустические и мелководные волны с нерегулярной диссипацией”, Функц. анализ и его прил., 53:2 (2019), 92–96
J. Carlos Mu M. Ruzhansky, N. Tokmagambetov, “Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters”, J. Math. Pures Appl. (9), 123 (2019), 127–147
M. Ruzhansky, N. Tokmagambetov, “On nonlinear damped wave equations for positive operators. I. Discrete spectrum”, Differ. Integral Equ., 32:7-8 (2019), 455–478
A. Altybay, M. Ruzhansky, N. Tokmagambetov, “Wave equation with distributional propagation speed and mass term: numerical simulations”, Appl. Math. E-Notes, 19 (2019), 552–562
M. Ruzhansky, N. Tokmagambetov, B. T. Torebek, “Inverse source problems for positive operators. I: hypoelliptic diffusion and subdiffusion equations”, J. Inverse Ill-Posed Probl., 27:6 (2019), 891–911
J. C. Muñoz, M. Ruzhansky, N. Tokmagambetov, “Acoustic and Shallow Water Wave Propagation with Irregular Dissipation”, Funct Anal Its Appl, 53:2 (2019), 153
M. Ruzhansky, N. Tokmagambetov, “Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups”, J. Differential Equations, 265:10 (2018), 5212–5236
G. Nalzhupbayeva, “Spectral properties of one elliptic operator in a punctured domain”, International Conference on Analysis and Applied Mathematics (ICAAM 2018), AIP Conf. Proc., 1997, Amer. Inst. Phys., 2018, UNSP 020083-1
M. Ruzhansky, N. Tokmagambetov, “Convolution, Fourier analysis, and distributions generated by Riesz bases”, Monatsh. Math., 187:1 (2018), 147–170