Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Bhattacharyya, Sombuddha"'
In this paper, we study an inverse problem for an acoustic-gravitational system whose principal symbol is identical to that of an acoustic wave operator. The displacement vector of a gas or liquid between the unperturbed and perturbed flow is denoted
Externí odkaz:
http://arxiv.org/abs/2410.06360
We study inverse boundary problems for third-order nonlinear tensorial perturbations of biharmonic operators on a bounded domain in $\mathbb{R}^n$, where $n\geq 3$. By imposing appropriate assumptions on the nonlinearity, we demonstrate that the Diri
Externí odkaz:
http://arxiv.org/abs/2312.07985
In this article, we study an inverse problem with local data for a linear polyharmonic operator with several lower order tensorial perturbations. We consider our domain to have an inaccessible portion of the boundary where neither the input can be pr
Externí odkaz:
http://arxiv.org/abs/2307.10608
We consider an isotropic elastic medium occupying a bounded domain D whose density and Lam\'e parameters are piecewise smooth. In the elastic wave initial value inverse problem, we are given the solution operator for the elastic wave equation, but on
Externí odkaz:
http://arxiv.org/abs/2203.08735
We revisit the problem of recovering wave speeds and density across a curved interface from reflected wave amplitudes. Such amplitudes have been exploited for decades in (exploration) seismology in this context. However, the analysis in seismology ha
Externí odkaz:
http://arxiv.org/abs/2201.02607
We study an inverse problem involving the unique recovery of several lower order anisotropic tensor perturbations of a polyharmonic operator in a bounded domain from the knowledge of the Dirichlet to Neumann map on a part of boundary. The uniqueness
Externí odkaz:
http://arxiv.org/abs/2111.07610
Autor:
Bhattacharyya, Sombuddha, Ghosh, Tuhin
We consider the two-dimensional Kirchhoff-Love plate equation in the context of elasticity modeling the stresses and deformations in thin plates subjected to forces and moments. We establish global recovery of the material parameters like bending sti
Externí odkaz:
http://arxiv.org/abs/2102.00747
Autor:
Bhattacharyya, Sombuddha, Ghosh, Tuhin
This article offers a study of the Calder\'on type inverse problem of determining up to second order coefficients of the higher order elliptic operator. Here we show that it is possible to determine an anisotropic second order perturbation given by a
Externí odkaz:
http://arxiv.org/abs/2010.00192
Autor:
Bhattacharyya, Sombuddha
Publikováno v:
Sombuddha Bhattacharyya. An inverse problem for the magnetic Schr\"odinger operator on Riemannian manifolds from partial boundary data. Inverse Problems and Imaging, 12(1930-8337-2018-3-801):801, 2018
We consider the inverse problem of recovering the magnetic and potential term of a magnetic Schr\"{o}dinger operator on certain compact Riemannian manifolds with boundary from partial Dirichlet and Neumann data on suitable subsets of the boundary. Th
Externí odkaz:
http://arxiv.org/abs/1810.03797
Autor:
Bhattacharyya, Sombuddha
Publikováno v:
Sombuddha Bhattacharyya 2018 Inverse Problems 34 125001
We consider an inverse problem in elastodynamics arising in seismic imaging. We prove locally uniqueness of the density of a non-homogeneous, isotropic elastic body from measurements taken on a part of the boundary. We measure the Dirichlet to Neuman
Externí odkaz:
http://arxiv.org/abs/1810.03784