โ Scribed by Dagmar Medkova; Emma Skopin; Werner Varnhorn
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Based on the two-dimensional stationary Oseen equation we consider the problem to determine the shape of a cylindrical obstacle immersed in a #uid #ow from a knowledge of the #uid velocity on some arc outside the obstacle. First, we obtain a uniqueness result for this ill-posed and non-linear invers
We consider initial boundary value problems for the Carleman equations. The theory of nonlinear accretive operators is applied to provide generalized solutions and to consider well-posedness of the system in the L'(O, 1) sense. The solutions are represented by product integrals, an abstract backward
We study certain boundary value problems for the one-dimensional wave equation posed in a time-dependent domain. The approach we propose is based on a general transform method for solving boundary value problems for integrable nonlinear PDE in two variables, that has been applied extensively to the