Determination of time dependent factors of coefficients in fractional diffusion equations. (English) Zbl 1348.35317
Summary: In the present paper, we consider initial-boundary value problems for partial differential equations with time-fractional derivatives which evolve in \(Q=\Omega\times(0,T)\) where \(\Omega\) is a bounded domain of \(\mathbb{R}^d\) and \(T>0\). We study the stability of the inverse problems of determining the time-dependent parameter in a source term or a coefficient of zero-th order term from observations of the solution at a point \(x_0\in\overline{\Omega}\) for all \(t\in(0,T)\).
Keywords:
inverse problems; fractional diffusion equation; time-dependent parameter; stability estimateReferences:
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