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- W2018751693 abstract "We consider the determination of a function p from overspecified data, where the function p appears in an initial-boundary value problem for the equation delta 1u- Delta u-pu+f(u)=0. The main idea in our approach consists of transforming this inverse problem into the problem of finding a solution to a non-standard non-linear equation. Using the classical Holder a priori estimates and the Schauder fixed-point theorem, we find a solution to this equation. This result then enables us to show the existence of a solution to the inverse problem. The continuous dependence of the solution to the inverse problem on the non-linear term, the boundary-value, and the overdetermined data, is also proved. Results for the linear case have already been published by the author." @default.
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- W2018751693 date "1994-10-01" @default.
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- W2018751693 title "An inverse problem for a semilinear parabolic equation" @default.
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