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math.AP2022★ 8 cited
Quadrature domains for the Helmholtz equation with applications to non-scattering phenomena
Pu-Zhao Kow, Simon Larson, Mikko Salo +1
In this paper, we introduce quadrature domains for the Helmholtz equation. We show existence results for such domains and implement the so-called partial balayage procedure. We als…
math.AP2022★ 3 cited
An inverse problem for semilinear equations involving the fractional Laplacian
Pu-Zhao Kow, Shiqi Ma, Suman Kumar Sahoo
Our work concerns the study of inverse problems of heat and wave equations involving the fractional Laplacian operator with zeroth order nonlinear perturbations. We recover nonline…