Publications

S. R. Jathar, M. Kar, V. P. Krishnan and V. A. Sharafutdinov. Normal operators for momentum ray transforms, II: Saint Venant operator. pdf
S. R. Jathar, M. Kar, and J. Railo. Loop group factorization method for the magnetic and thermostatic nonabelian ray transforms. pdf
M. Kar and M. Sini. Electromagnetic waves generated by a dielectric moving at a constant speed. pdf
S. R. Jathar, M. Kar, V. P. Krishnan and V. A. Sharafutdinov. Normal operators for momentum ray transforms, I: The Inversion formula. J. Fourier Anal. Appl. 30, 58 (2024). pdf
M. Kar, Y.-H. Lin, and P. Zimmermann. Determining coefficients for a fractional p-Laplace equation from exterior measurements. Journal of Differential Equations 406 (2024) 338–365. pdf
S. R. Jathar, M. Kar, and J. Railo. Broken ray transform for twisted geodesics on surfaces with a reflecting obstacle. The Journal of Geometric Analysis (2024), Volume 34, article number 212. pdf
G. Hwang and M. Kar. Reconstructing unknown inclusions for the biharmonic equation. J. Math. Anal. Appl. 530 (2024) 127745. pdf
M. Kar, J. Railo and P. Zimmermann. The fractional p-biharmonic systems: optimal Poincaré constants, unique continuation and inverse problems. Calc. Var. Partial Differential Equations 62 (2023), no. 4, 36 pp. pdf
Cătălin I. Cârstea and M. Kar. Recovery of coefficients for a weighted p-Laplacian perturbed by a linear second order term. Inverse Problems 37 (2021), no. 1, 22 pp. pdf
M. Kar and J-N Wang. Size estimates for the weighted p-Laplace equation with one measurement. Discrete Contin. Dyn. Syst. Ser. B 26 (2021), no. 4, 2011–2024. (DCDS-B). pdf
T. Brander, B. Harrach, M. Kar and M. Salo. Monotonicity and enclosure methods for the p-Laplace equation. SIAM J. Appl. Math. 78 (2018), no. 2, 742–758. pdf
T. Brander, J. Ilmavirta, and M. Kar. Superconductive and insulating inclusions for linear and non-linear conductivity equations. Inverse Problems & Imaging, 2018, 12 (1) : 91-123. pdf
C. Guo and M. Kar. Quantitative uniqueness estimates for p-Laplace type equations in the plane. Nonlinear Anal. 143 (2016), 19–44. pdf
C. Guo, M. Kar and M. Salo. Inverse problems for p-Laplace type equations under monotonicity assumptions. Rend. Istit. Mat. Univ. Trieste 48 (2016), 79–99. (Special issue in honor of Prof. Giovanni Alessandrini on the occasion of his 60th birthday). pdf
M. Kar and M. Sini. An H^{s,p}(\curl;\Omega) estimate for the Maxwell system. Math. Ann., 364(1-2):559-587, 2016. pdf
T. Brander, M. Kar and M. Salo. Enclosure method for the p-Laplace equation. Inverse problems. 31(4):045001, 2015. pdf
M. Kar and M. Sini. On the inverse elastic scattering by interfaces using one type of scattered waves. J. Elasticity. 118(1):15-38, 2015. pdf
M. Kar and M. Sini. Reconstruction of interfaces from the Elastic far field measurements using CGO solutions. SIAM J. Math. Anal., 46(4), 2650-2691, 2014. pdf
M. Kar and M. Sini. Reconstruction of interfaces using CGO solutions for the Maxwell equations. J. Inverse Ill-Posed Probl. 22 (2014), no. 2, 169-208. pdf
M. Kar and M. Sini. Reconstructing obstacles by the enclosure method using the far field measurements in one step. Applicable Analysis, 93(6):1327-1336, 2014. pdf