Sparsity regularization of the diffusion coefficient identification problem: well-posedness and convergence rates
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Publication:310729
DOI10.1007/s40840-015-0226-xzbMath1352.65447OpenAlexW2197150865MaRDI QIDQ310729
Publication date: 8 September 2016
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-015-0226-x
well-posednessconvergence ratenonlinear inverse problemssparsity regularizationdiffusion coefficient identification problem
Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems in optimal control (49N45) Problems with incomplete information (optimization) (49N30)
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Descent gradient methods for nonsmooth minimization problems in ill-posed problems ⋮ \(l^1\)-weighted regularization for the problem of recovering sparse initial conditions in parabolic equations from final measurements
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