Inverse Source Problems Involving the One-way Wave Equation: Source Reconstruction
نویسنده
چکیده
Inverse problems are considered for the linear one-way wave equation or transport equation. In particular a number of inverse source reconstruction problems are considered. Problems which have both spatially and temporally varying coefficients are discussed. Both theoretical and numerical results are given for the methods examined. In particular it is shown that the source reconstruction is unique for the inverse problems discussed. INVERSE SOURCE PROBLEMS INVOLVING THE ONE-WAY WAVE EQUATION: SOURCE RECONSTRUCTION DAVID J.N. WALL AND JONAS LUNDSTEDT ABSTRACT. Inverse problems are considered for the linear one-way wave equation or transport equation. In particular a number of inverse source reconstruction problems are considered. Problems which have both spatially and temporally varying coefficients are discussed. Both theoretical and numerical results are given for the methods examined. In particular it is shown that the source reconstruction is unique for the inverse problems discussed. Inverse problems are considered for the linear one-way wave equation or transport equation. In particular a number of inverse source reconstruction problems are considered. Problems which have both spatially and temporally varying coefficients are discussed. Both theoretical and numerical results are given for the methods examined. In particular it is shown that the source reconstruction is unique for the inverse problems discussed.
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