|XXXIX Workshop on Geometric Methods in Physics||19.06–25.06.2022|
|XI School on Geometry and Physics||27.06–1.07.2022|
Participants of Workshop
Participants of School
|In order to secure the right conditions for our Workshop we have decided to exceptionally move (only for this year's meeting) the site of our Workshop to the campus of our University in Białystok.|
Reproducing kernels and minimal solutions of elliptic equations
Suppose 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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