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Publications Influence

Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups

- Michael Ruzhansky, N. Tokmagambetov
- Mathematics
- 23 March 2017

In this paper we study the Cauchy problem for the semilinear damped wave equation for the sub-Laplacian on the Heisenberg group. In the case of the positive mass, we show the global in time… Expand

14 3- PDF

Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters

- J. Muñoz, Michael Ruzhansky, N. Tokmagambetov
- Mathematics, Physics
- 3 May 2017

In this paper we consider an acoustic problem of wave propagation through a discontinuous medium. The problem is reduced to the dissipative wave equation with distributional dissipation. We show that… Expand

11 2- PDF

Wave equation with distributional propagation speed and mass term : numerical simulations

- A. Altybay, Michael Ruzhansky, N. Tokmagambetov
- Mathematics
- 2019

In this paper we explore numerically the theoretical results of the paper [10], and report on the numerical study of the Cauchy-Dirichlet problem for the 1D wave equation with distributional… Expand

4 1- PDF

Nonharmonic Analysis of Boundary Value Problems

- Michael Ruzhansky, N. Tokmagambetov
- Mathematics
- 3 April 2015

In this paper, we develop the global symbolic calculus of pseudo-differential operators generated by a boundary value problem for a given (not necessarily self-adjoint or elliptic) differential… Expand

55 1- PDF

Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary

- J. Delgado, Michael Ruzhansky, N. Tokmagambetov
- Mathematics
- 9 May 2015

Given a compact manifold $M$ with boundary $\partial M$, in this paper we introduce a global symbolic calculus of pseudo-differential operators associated to $(M,\partial M)$. The symbols of… Expand

43 1- PDF

On regularized trace formulas for a well-posed perturbation of the m-Laplace operator

- B. Kanguzhin, N. Tokmagambetov
- Mathematics
- 1 December 2015

A class of well-posed problems in a Hilbert space for the m-Laplace operator in a punctured domain is considered. An analog of the Green formula and a class of self-adjoint problems are obtained. We… Expand

13 1

Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field

- Michael Ruzhansky, N. Tokmagambetov
- Physics, Mathematics
- 17 November 2016

In this paper, we study the Cauchy problem for the Landau Hamiltonian wave equation, with time-dependent irregular (distributional) electromagnetic field and similarly irregular velocity. For such… Expand

35- PDF

Wave Equation for Operators with Discrete Spectrum and Irregular Propagation Speed

- Michael Ruzhansky, N. Tokmagambetov
- Mathematics, Physics
- 3 May 2017

Given a Hilbert space $${\mathcal{H}}$$H, we investigate the well-posedness of the Cauchy problem for the wave equation for operators with a discrete non-negative spectrum acting on… Expand

25- PDF

WELL-POSED PROBLEMS FOR THE FRACTIONAL LAPLACE EQUATION WITH INTEGRAL BOUNDARY CONDITIONS

In this remark we study the boundary-value problems for a fractional analogue of the Laplace equation with integral boundary conditions in rectangular and half-strip domains. We prove the existence… Expand

6- PDF

On a non–local problem for a multi–term fractional diffusion-wave equation

- Michael Ruzhansky, N. Tokmagambetov, B. Torebek
- Mathematics
- 4 December 2018

Abstract This paper deals with the multi-term generalisation of the time-fractional diffusion-wave equation for general operators with discrete spectrum, as well as for positive hypoelliptic… Expand

9- PDF

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