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Sharp conditions on the data ensuring existence and uniqueness of solutions in Sobolev classes are exposed. They are smoothness and consistency conditions on the data and some inequalities ensuring the maximum principle for a solution. The proof relies on a priori bounds and the method of continuation in a parameter.
From: Sergey Pyatkov Grigor'evich [view email]
[v1]
Mon, 15 Jun 2026 09:19:19 UTC (25 KB)
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