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math.AP2026
Determination of Wave Speed from point sources
Joonas Ilmavirta, Teemu Saksala, Ashwin Tarikere +1
We consider the wave equation with variable wave speed in Euclidean space, with point sources modeled by Dirac delta initial displacement data. There are three special subsets of t…
math.AP2020
Reconstruction of Rough Conductivities from Boundary Measurements
Ashwin Tarikere
We show the validity of Nachman's procedure (Ann. Math. 128(3):531-576, 1988) for reconstructing a conductivity function in a smooth bounded domain ($n\…
math.AP2017★ 3 cited
Approximate Isotropic Cloak for the Maxwell equations
Tuhin Ghosh, Ashwin Tarikere
We construct a regular isotropic approximate cloak for the Maxwell system of equations. The method of transformation optics has enabled the design of electromagnetic parameters tha…