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math.AP2019★ 2 cited
Recovering the initial condition of parabolic equations from lateral Cauchy data via the quasi-reversibility method
Qitong Li, Loc H. Nguyen
We consider the problem of computing the initial condition for a general parabolic equation from the Cauchy lateral data. The stability of this problem is well-known to be logarith…
math.AP2019
A convergent numerical method for a multi-frequency inverse source problem in inhomogenous media
Loc H. Nguyen, Qitong Li, Michael V. Klibanov
A new numerical method to solve an inverse source problem for the Helmholtz equation in inhomogenous media is proposed. This method reduces the original inverse problem to a bounda…