Stable Identification of a Semilinear Term in a Parabolic Equation
نویسندگان
چکیده
We consider a semilinear parabolic equation in a rectangular domain Ω ⊂ R: (∂tu)(x, t) = ∆u(x, t) + a(u(x, t)) with the zero initial value and suitable Dirichlet data. We discuss an inverse problem of determining the nonlinear term a(·) from Neumann data ∂u ∂n on ∂Ω × (0, T ). Under appropriate Dirichlet data, we prove conditional stability of the Hölder type in this inverse problem within a suitable admissible set of unknown functions a(·). §
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