Yi-Hsuan Lin

collaborators

3 papers

math.AP2024

The CalderÃ³n problem for the logarithmic SchrÃ¶dinger equation

Bastian Harrach, Yi-Hsuan Lin, Tobias Weth

We study the CalderÃ³n problem for a logarithmic SchrÃ¶dinger type operator of the form $L_{I^} + q$ , where $L_{I^} $ denotes the logarithmic Laplacian, which arises as formal derivative…

math.AP2024

The fractional anisotropic CalderÃ³n problem for a nonlocal parabolic equation on closed Riemannian manifolds

Yi-Hsuan Lin

We consider the fractional anisotropic CalderÃ³n problem for the nonlocal parabolic equation $(\partial_{t} - I^_{g})^{s} u = f$ ( $0 < s < 1$ ) on closed Riemannian manifolds. More concretely, w…

math.AP2024

A local uniqueness theorem for the fractional SchrÃ¶dinger equation on closed Riemannian manifolds

Yi-Hsuan Lin

We investigate that a potential $V$ in the fractional SchrÃ¶dinger equation $((- I^_{g})^{s} + V) u = f$ can be recovered locally by using the local source-to-solution map on smooth con…