XXXIX Workshop on Geometric Methods in Physics | 19.06–25.06.2022 |
XI School on Geometry and Physics | 27.06–1.07.2022 |
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Tomasz ŻyndaReproducing kernels and minimal solutions of elliptic equationsSuppose that the set of square-integrable solutions of an elliptic equation which take value equal to c in some given point is non-empty. Then there is exactly one element with minimal L^2 norm. Moreover such an element depends in continuous way on a weight of integration and on a domain of integration. These theorems can be proved by using the theory of reproducing kernels. |
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University of Bialystok |