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math.AP2021
Fixed angle inverse scattering for sound speeds close to constant
Shiqi Ma, Leyter Potenciano-Machado, Mikko Salo
We study the fixed angle inverse scattering problem of determining a sound speed from scattering measurements corresponding to a single incident wave. The main result shows that a…
math.AP2021
Lecture notes for pseudodifferential operators and microlocal analysis
Shiqi Ma
This is a introductory course focusing some basic notions in pseudodifferential operators (DOs) and microlocal analysis. We start this lecture notes with some notations and nece…
math.AP2021★ 1 cited
Regularity and energy of hyperbolic boundary value problems on non-timelike hypersurfaces with lower order terms
Shiqi Ma
We study second order hyperbolic equations with initial conditions, a nonhomogeneous Dirichlet boundary condition and a source term. We prove the solution possesses regularit…