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math.AP2026
Fourier--Laplace Injectivity for Oblique and Polygonal Cylinders in Passive Inverse Problems
Yan Jiang, Hongyu Liu, Tianhao Ni +1
We study Fourier--Laplace transforms on null phases arising in passive inverse problems. Densities with codimension-one dependence in oblique cylinders are first considered. Integr…
math.NA2026
DTPFI: A stable algorithm for recovering nonlinear energy potentials in phase field systems
Tianhao Ni, Jun Lai
This work proposes a Dual Time Phase Field Inversion (DTPFI) method for recovering unknown potential functions in phase field models. The reconstruction is formulated as an optimiz…