Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Demchenko, M. N."'
Autor:
Demchenko, M. N.
We establish an estimate of the BMO-norm of a divergence-free vector field in ${\mathbb R}^3$ in terms of the operator norm of an associated paracommutator. The latter is essentially a $\Psi$DO, whose symbol depends linearly on the vector field. Toge
Externí odkaz:
http://arxiv.org/abs/2206.09686
Autor:
Demchenko, M. N.
The subject of the paper is the Cauchy problem for the wave equation in a space-time cylinder $\Omega\times{\mathbb R}$, $\Omega\subset{\mathbb R}^2$, with the data on the surface $\partial\Omega\times I$, where $I$ is a finite time interval. The alg
Externí odkaz:
http://arxiv.org/abs/2010.14354
Autor:
Demchenko, M. N.
We deal with the Cauchy problem for a perturbed wave equation in the half-plane with data given on a part of the space-time boundary. The equation in consideration describes a wave process in a laterally inhomogeneous medium. We propose a reconstruct
Externí odkaz:
http://arxiv.org/abs/1910.14514
Autor:
Demchenko, M. N.
We consider the Cauchy problem for the wave equation in $\Omega\times{\mathbb R}$ with data given on some part of the boundary $\partial\Omega\times{\mathbb R}$. We provide a reconstruction algorithm for this problem based on analytic expressions. Ou
Externí odkaz:
http://arxiv.org/abs/1810.12631
Autor:
Demchenko, M. N.1 (AUTHOR) demchenko@pdmi.ras.ru
Publikováno v:
Journal of Mathematical Sciences. Dec2023, Vol. 277 Issue 4, p575-585. 11p.
Autor:
Demchenko, M. N.
An ill-posed Cauchy problem for the wave equation is considered: the solution is to be determined by the Cauchy data on some part of the time-space boundary. By means of Fourier method we obtain a regularization algorithm for this problem, which is g
Externí odkaz:
http://arxiv.org/abs/1609.05049
Autor:
Demchenko, M. N.
We consider the problem of recovering of initial data in the IBVP for the wave-type equation in the half-space by the solution restricted to the boundary. The singular value decomposition of this problem is concerned: the asymptotics of singular valu
Externí odkaz:
http://arxiv.org/abs/1506.05563
Autor:
Belishev, M. I., Demchenko, M. N.
Publikováno v:
Journal of Geometry and Physics, Volume 78 (2014), p. 29-47
We deal with two dynamical systems associated with a Riemannian manifold with boundary. The first one is a system governed by the scalar wave equation, the second is governed by the Maxwell equations. Both of the systems are controlled from the bound
Externí odkaz:
http://arxiv.org/abs/1306.3040
Autor:
Belishev, M. I., Demchenko, M. N.
We consider the dynamical inverse problem for the Maxwell system on a Riemannian 3-manifold with boundary in a time-optimal set-up. Using BC-method we show that the data of the inverse problem (electromagnetic measurements on the boundary) determine
Externí odkaz:
http://arxiv.org/abs/1205.7090
Autor:
Belishev, M. I., Demchenko, M. N.
A dynamical Maxwell system is \begin{align*} & e_t={\rm curl\,} h, \quad h_t=-{\rm curl\,} e &&{\rm in}\,\,\Omega \times (0,T) & e|_{t=0}=0,\,\,\,\,h|_{t=0}=0 &&{\rm in}\,\,\Omega & e_\theta =f &&{\rm in}\,\,\, \partial\Omega \times [0,T] \end{align*
Externí odkaz:
http://arxiv.org/abs/1101.5701