Variational problems for nonlinear Schroedinger equations on metric graphs]]>

On the stability of a point charge for the Vlasov-Poisson system]]>

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Uniqueness and global convergence for a discretized inverse coefficient problem]]>

We then demonstrate that this result can be used to prove uniqueness, stability and global convergence for an inverse coefficient problem with finitely many measurements. We consider the problem of determining an unknown inverse Robin transmission coefficient in an elliptic PDE. Using a relation to monotonicity and localized potentials techniques, we show that a piecewise-constant coefficient on an a-priori known partition with a-priori known bounds is uniquely determined by finitely many boundary measurements and that it can be uniquely and stably reconstructed by a globally convergent Newton iteration. We derive a constructive method to identify these boundary measurements, calculate the stability constant and give a numerical example.

For further information about the seminar, please visit this webpage.