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Results tagged with ap.analysis-of-pdes
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user 166194
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
2
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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