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This paper is about Holder and Lipschitz stability estimates and uniquenesstheorems for some coefficient inverse problems and associated inverse sourceproblems for a general linear parabolic equation of the second order withvariable coefficients. The data for the inverse problem are given at the finalmoment of time {t=T}. In addition, both Dirichlet and Neumann boundaryconditions are given either on a part or on the entire lateral boundary. Thus,if these boundary conditions are given only at a part of the boundary, theneven if the target coefficient is known, still the forward problem is not aclassical initial boundary value problem.

Stability Estimates for Some Parabolic Inverse Problems With the Final Overdetermination via a New Carleman Estimate