Zobrazeno 1 - 10
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pro vyhledávání: '"MANMOHAN VASHISTH"'
We study the local recovery of an unknown piecewise constant anisotropic conductivity in EIT (electric impedance tomography) on certain bounded Lipschitz domains $\Omega$ in $\mathbb{R}^2$ with corners. The measurement is conducted on a connected ope
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f66d7b246a9e6f02ee8422abce2f2206
http://arxiv.org/abs/2202.06739
http://arxiv.org/abs/2202.06739
Publikováno v:
Applied Mathematics Letters. 98:121-127
In this paper we consider an inverse coefficients problem for a quasilinear elliptic equation of divergence form $\nabla\cdot\vec{C}(x,\nabla u(x))=0$, in a bounded smooth domain $\Omega$. We assume that $\overrightarrow{C}(x,\vec{p})=\gamma(x)\vec{p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f93d6e57a31565f83d40f4d316c72b0
https://doi.org/10.1016/j.aml.2019.06.009
https://doi.org/10.1016/j.aml.2019.06.009
Autor:
Soumen Senapati, Manmohan Vashisth
In this article, we study the stability in the inverse problem of determining the time-dependent convection term and density coefficient appearing in the convection-diffusion equation, from partial boundary measurements. For dimension \begin{document
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f5ab0c6168a61208cd49163708fbfd9
http://arxiv.org/abs/2104.12236
http://arxiv.org/abs/2104.12236
Publikováno v:
Inverse Problems.
In this article we are concerned with an inverse initial boundary value problem for a non-linear wave equation in space dimension $n\geq 2$. In particular we consider the so called interior determination problem. This non-linear wave equation has a t
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d72e818b018f6031a1cfa02f921b6d7c
https://doi.org/10.1088/1361-6420/abcd27
https://doi.org/10.1088/1361-6420/abcd27
Autor:
Manmohan Vashisth, Rohit Mishra
We study the inverse problem for determining the time-dependent matrix potential appearing in the wave equation. We prove the unique determination of potential from the knowledge of solution measured on a part of the boundary.
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::043fba6e4ef4d3e82f7e7436c1d51276
http://arxiv.org/abs/2001.08380
http://arxiv.org/abs/2001.08380
Autor:
Guanghui Hu, Manmohan Vashisth
It is proved that a connected polygonal obstacle coated by thin layers together with its surface impedance function can be determined uniquely from the far field pattern of a single incident plane wave. As a by-product, we prove that the wave field c
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08a8a0527a45fd5532a69f8a16ef65b2
In this work, we investigate the shape identification and coefficient determination associated with two time-dependent partial differential equations in two dimensions. We consider the inverse problems of determining a convex polygonal obstacle and t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::236a66ca124e73eb083f86fc991a545c
It is proved that a convex polyhedral scatterer of impedance type can be uniquely determined by the electric far-field pattern of a non-vanishing incident field. The incoming wave is allowed to bean electromagnetic plane wave, a vector Herglotz wave
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4eda5853c34aca0a12a03c65ddcb10eb
We study light ray transform of symmetric 2-tensor fields defined on a bounded time-space domain in $${\mathbb {R}}^{1+n}$$ for $$n\ge 3$$. We prove a uniqueness result for such light ray transforms. More precisely, we characterize the kernel of the
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6378ab3a7dd475a3b051886ff578778b
http://arxiv.org/abs/1911.07804
http://arxiv.org/abs/1911.07804
Autor:
Manmohan Vashisth, Suman Kumar Sahoo
In this article, we study the unique determination of convection term and the time-dependent density coefficient appearing in a convection-diffusion equation from partial Dirichlet to Neumann map measured on boundary.
Updated journal name and se
Updated journal name and se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2bd54e7aec87c4734eb8fa997eca0277
http://arxiv.org/abs/1901.08026
http://arxiv.org/abs/1901.08026