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Results tagged with elliptic-pde
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user 166194
Questions about partial differential equations of elliptic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
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Existence of solution to Cauchy boundary value problem in Lipschitz class of functions
For a research question I have run into the following problem that seems intuitively true but I do not know how to prove it and am not sure in which generality.
Let $\Omega\subset \mathbb{R}^2$ be a s …
- 41
1
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Existence of solution to Cauchy boundary value problem in Lipschitz class of functions
Just for posterity, the concept I was looking for is that of Lipschitz extensions.
It turns out that a $K$-Lipschitz function outside any $\Omega$ can be extended to $\Omega$ with the same Lipschitz c …
- 41