Global uniqueness with Lipschitz stability for two reaction coefficients and logarithmic stability for initial condition in a nonlinear cell invasion PDE, plus a decoupled numerical reconstruction method.
arXiv preprint arXiv:2410.00369 , year=
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Establishes improved well-posedness for the forward semilinear transport problem and unified L1 stability for the inverse problem of recovering nonlinear absorption via a weighted norm that handles boundary effects.
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Recovering the initial condition and physical coefficients in a nonlinear PDE model of cell invasion
Global uniqueness with Lipschitz stability for two reaction coefficients and logarithmic stability for initial condition in a nonlinear cell invasion PDE, plus a decoupled numerical reconstruction method.
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Forward and inverse problems of a semilinear transport equation
Establishes improved well-posedness for the forward semilinear transport problem and unified L1 stability for the inverse problem of recovering nonlinear absorption via a weighted norm that handles boundary effects.