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On sensitive vector Poisson and Stokes problems
DOI:10.1142/S0218202597000360.png)
摘要
En 中文
Lions/Sanchez-Palencia's theory of sensitive boundary value problems is extended from the scalar biharmonic equation to the vector Poisson equation and the Stokes problem associated with the bilinear form (del xu,del Xv)+(del.u, del.v). For both problems the specification of completely natural conditions for the vector unknown on a part of the boundary leads to a variational formulation admitting a unique solution which is however sensitive to abitrarily small smooth perturbations of the data, as shown in the present paper.
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