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Titlebook: Mathematics of Wave Phenomena; Willy Dörfler,Marlis Hochbruck,Birgit Schörkhuber Conference proceedings 2020 Springer Nature Switzerland A

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On Hyperbolic Initial-Boundary Value Problems with a Strictly Dissipative Boundary Condition,e regularity assumptions on the coefficients of the differential operator and the boundary condition as well as the boundary itself are quite minimal. Characterizations of strictly dissipative boundary operators are given and the example of Maxwell’s equations is discussed.
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Sparse Regularization of Inverse Problems by Operator-Adapted Frame Thresholding,ralizes the SVD. The DFD allows to define a non-iterative (direct) operator-adapted frame thresholding approach which we show to provide a convergent regularization method with linear convergence rates. These results will be compared to the well-known analysis and synthesis variants of sparse ..-reg
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,Existence and Stability of Klein–Gordon Breathers in the Small-Amplitude Limit,breathers have precise scaling with respect to the small coupling strength .. By using the classical Lyapunov–Schmidt method, we show existence and linear stability of the KG breather from existence and linear stability of the corresponding dNLS soliton. Nonlinear stability, for an exponentially lon
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