An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions.

Autor:	Ait Ben Hassi, El Mustapha, Chorfi, Salah-Eddine, Maniar, Lahcen
Předmět:	EQUATIONS TEMPERATURE INVERSE problems SALT marshes
Zdroj:	Journal of Inverse & Ill-Posed Problems; Jun2022, Vol. 30 Issue 3, p363-378, 16p
Abstrakt:	We study an inverse problem involving the restoration of two radiative potentials, not necessarily smooth, simultaneously with initial temperatures in parabolic equations with dynamic boundary conditions. We prove a Lipschitz stability estimate for the relevant potentials using a recent Carleman estimate, and a logarithmic stability result for the initial temperatures by a logarithmic convexity method, based on observations in an arbitrary subdomain. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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