Structural Stability for Ill-Posed Problems in Banach Space
نویسندگان
چکیده
We prove Hölder-continuous dependence results for the difference between solutions of certain ill-posed and approximate well-posed problems in both Hilbert and Banach spaces. We use operator-theoretic methods, including C-semigroups, to treat the abstract Cauchy problem du dt = Au, u(0) = χ, 0 ≤ t < T, where the operator −A is the infinitesimal generator of a holomorphic semigroup.
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