Research

Alma mater

Research Interests:

Publication & Preprints:

Preprints:

Saumyajit Das, Tuhin Ghosh, Susovan Pramanik. Anisotropic Calderón problem for a logarithmic Schrödinger operator of order 2+ on closed Riemannian manifolds. (arXiv)

Saumyajit Das, Tuhin Ghosh, Shiqi Ma. Inverse Scattering for the Fractional Schrödinger equation. (arXiv)

Saumyajit Das, Tuhin Ghosh. Fractional Borg-Levinson problem with small non-negative potential of small growth. (arXiv)

Ali Feizmohammadi, Tuhin Ghosh, Katya Krupchyk, Angkana Rüland, Johannes Sjöstrand, Gunther Uhlmann. Fractional anisotropic Calderón problem with external data. (arXiv)

Giovanni Covi, Tuhin Ghosh, Angkana Rüland, Gunther Uhlmann. A Reduction of the Fractional Calderón Problem to the Local Calderón Problem by Means of the Caffarelli-Silvestre Extension. (arXiv)

Tuhin Ghosh, Gunther Uhlmann. The Calderón problem for nonlocal operators. (arXiv)

Tuhin Ghosh, Venkateswaran P.Krishnan, Muthusamy Vanninathan. Inverse Diffusivity Problem via Homogenization Theory. (arXiv)

Published:

Cătălin Cârstea, Tuhin Ghosh, Gen Nakamura. An inverse boundary value problem for the inhomogeneous porous medium equation. SIAM Journal of Applied Mathematics. (Link)

Ali Feizmohammadi, Tuhin Ghosh, Katya Krupchyk, Gunther Uhlmann. Fractional anisotropic Calderón problem on closed Riemannian manifolds. Journal of Differential Geometry. (Link)

Amrita Ghosh, Tuhin Ghosh. Unique continuation and inverse problem for an an-isotropic beam bending equation. Journal of Differential Equations. (Link)

Loredana Balilescu, Carlos Conca, Tuhin Ghosh, Jorge San Martín, and Muthusamy Vanninathan. Bloch spectral analysis in the class of non-periodic laminates. Proceedings volume of the International Conference on Applied Mathematics and Numerical Methods (Link)

Cătălin Cârstea, Tuhin Ghosh, Gunther Uhlmann. An inverse problem for the porous medium equation with a possibly singular absorption term. SIAM Journal on Mathematical Analysis. (Link)

Tuhin Ghosh. Nonlocal inverse problem with boundary response. Revista Matemática Iberoamericana, EMS. (Link)

Sombuddha Bhattacharyya, Tuhin Ghosh. An Inverse Problem on Determining Second Order Symmetric Tensor for Perturbed Biharmonic Operator. Mathematische Annalen. (Link)

Loredana Bălilescu, Carlos Conca, Tuhin Ghosh, Jorge San Martin, Muthusamy Vanninathan. Bloch wave spectral analysis in the class of generalized Hashin-Shtrikman micro-structures. Mathematical Models and Methods in Applied Sciences. (Link)

Sombuddha Bhattacharyya, Tuhin Ghosh, Gunther Uhlmann. Inverse Problem for Fractional-Laplacian with Lower Order Non-local Perturbations. Trans. Amer. Math. Soc. (Link)

Angkana Rüland, Tuhin Ghosh, Mikko Salo, Gunther Uhlmann. Uniqueness and reconstruction for the fractional Calderón problem with a single measurement. Journal of Functional Analysis. (Link)

Cherif Amrouche, Carlos Conca, Amrita Ghosh, Tuhin Ghosh. Uniform $W^{1,p}$ estimates for an elliptic operator with Robin boundary condition in a $\Cal C^1$ domain. Calc. Var. Partial Differential Equations. (Link)

Tuhin Ghosh, Mikko Salo, Gunther Uhlmann. The Calderón problem for the fractional Schrödinger equation. Analysis & PDE. (Link)

Loredanda Bălilescu, Amrita Ghosh, Tuhin Ghosh. $H$-convergence and homogenization of non-local elliptic operators in both perforated and non-perforated domains. Z. Angew. Math. Phys. (Link)

Sombuddha Bhattacharyya, Tuhin Ghosh. Inverse boundary value problem of determining up to a second order tensor appear in the lower order perturbation of a polyharmonic operator. J. Fourier Anal. Appl. (Link)

Tuhin Ghosh, Ashwin Tarrikere. Approximate isotropic cloak for the Maxwell equations. J. Math. Phys. (Link)

Loredana Bălilescu, Carlos Conca, Tuhin Ghosh, Jorge San Martin, Muthusamy Vanninathan. The dispersion tensor and its unique minimizer in Hashin-Shtrikman micro-structures. Arch. Ration. Mech. Anal. (Link)

Tuhin Ghosh, Karthik Iyer. Cloaking for a quasi-linear elliptic partial differential equation. Inverse Probl. Imaging. (Link)

Tuhin Ghosh, Yi-Hsuan Lin, Jingni Xiao. The Calderón problem for variable coefficients nonlocal elliptic operators. Comm. Partial Differential Equations. (Link)

Grégoire Allaire, Tuhin Ghosh, Muthusamy Vanninathan. Homogenization of Stokes system using Bloch waves. Netw. Heterog. Media. (Link)

Tuhin Ghosh, Muthusamy Vanninathan. Convergence relative to a microstructure: properties, optimal bounds and application. J. Abstr. Differ. Equ. Appl. (Link)

Tuhin Ghosh, Venkateswaran Krishnan. Determination of lower order perturbations of the polyharmonic operator from partial boundary data. Appl. Anal. (Link)

Tuhin Ghosh. An inverse problem on determining upto first order perturbations of a fourth order operator with partial boundary data. Inverse Problems (Link)

Links:

• HRI Library.

• Inverse Problems Seminar, UC Irvine

• Seminars on Harmonic Analysis and PDEs

• Workshop on Harmonic Analysis: Fourier Multipliers and Related Topics