Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Senapati, Soumen"'
Autor:
Senapati, Soumen, Sini, Mourad
We deal with the inverse problem of reconstructing acoustic material properties or/and external sources for the time-domain acoustic wave model. The traditional measurements consist of repeated active (or passive) interrogations, as the Dirichlet-Neu
Externí odkaz:
http://arxiv.org/abs/2311.08114
Dealing with the inverse source problem for the scalar wave equation, we have shown recently that we can reconstruct the space-time dependent source function from the measurement of the wave, collected at a single point $x$ for a large enough interva
Externí odkaz:
http://arxiv.org/abs/2304.08869
Autor:
Banerjee, Agnid, Senapati, Soumen
In this paper, we introduce and analyse an explicit formulation of fractional powers of the parabolic Lam\'e operator $\mathbb{H}$ and we then study the extension problem associated to such non-local operators. We also study the various regularity pr
Externí odkaz:
http://arxiv.org/abs/2208.11598
Autor:
Banerjee, Agnid, Senapati, Soumen
We study an inverse problem for variable coefficient fractional parabolic operators of the form $(\partial_t -\operatorname{div}(A(x) \nabla_x)^s + q(x,t)$ for $s\in(0,1)$ and show the unique recovery of $q$ from exterior measured data. Similar to th
Externí odkaz:
http://arxiv.org/abs/2205.12509
We study stability aspects for the determination of space and time-dependent lower order perturbations of the wave operator in three space dimensions with point sources. The problems under consideration here are formally determined and we establish L
Externí odkaz:
http://arxiv.org/abs/2203.05771
Autor:
Senapati, Soumen, Vashisth, Manmohan
Publikováno v:
Evolution Equations and Control Theory, 2022
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 $n\geq 2$, we s
Externí odkaz:
http://arxiv.org/abs/2104.12236
We prove stability for a formally determined inverse problem for a hyperbolic PDE where the coefficients depend on space and time variables. The hyperbolic operator has constant wave speed and we study the recovery of zeroth order and first order coe
Externí odkaz:
http://arxiv.org/abs/2010.11726
Autor:
Senapati, Soumen
In this article we study stability aspects for the determination of time-dependent vector and scalar potentials in relativistic Schr\"odinger equation from partial knowledge of boundary measurements. For space dimensions strictly greater than 2 we ob
Externí odkaz:
http://arxiv.org/abs/2007.02331
Publikováno v:
Journal of Fourier Analysis and Applications-2020
We study light ray transform of symmetric 2-tensor fields defined on a bounded time-space domain in $\mathbb{R}^{1+n}$ for $n\geq 3$. We prove a uniqueness result for such light ray transforms. More precisely, we characterize the kernel of the light
Externí odkaz:
http://arxiv.org/abs/1911.07804
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