Large Data Solutions for Fractional Higher Order Nonlinear Equations. Abstract: We consider a class of evolution equation involving fractional Laplacian and nonlinear polynomial term. We discuss global existence in the energy space, decay estimates…
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Low-rank tensor methods for PDE-constrained optimization under uncertainty – Peter Benner (Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany)
We discuss optimization and control of unsteady partial differential equations (PDEs), where some coefficient of the PDE as well as the control may be uncertain. This may be due to the lack of knowledge about the exact physical parameters, like…