We consider a parabolic equation whose coefficients are Log-Lipschitz continuous in t and Lipschitz continuous in x. Combining a recent conditional stability result with a well posed variational problem, we reconstruct the initial condition of an unknown solution from a rough measurement at the final time.
Reconstruction of the initial condition in parabolic equations with Log-Lipschitz coefficients
Del Santo, Daniele
;Prizzi, Martino
2024-01-01
Abstract
We consider a parabolic equation whose coefficients are Log-Lipschitz continuous in t and Lipschitz continuous in x. Combining a recent conditional stability result with a well posed variational problem, we reconstruct the initial condition of an unknown solution from a rough measurement at the final time.File in questo prodotto:
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