A universal regularization method for ill-posed Cauchy problems for quasilinear partial differential equations
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cauchygloballyill-posedmethodproblemsquasilinearcarlemanconstruct
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For the first time, a globally convergent numerical method is presented for ill-posed Cauchy problems for quasilinear PDEs. The key idea is to use Carleman Weight Functions to construct globally strictly convex Tikhonov-like cost functionals.
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