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Results tagged with ap.analysis-of-pdes
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user 490334
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
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answers
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What does a Lipschitz barrier imply about boundary regularity of a domain?
Consider the Dirichlet problem for Laplace's equation in a bounded domain $\Omega \subset \mathbb R^n$:
$$
-\Delta u = 0, \quad x \in \Omega,
$$
with $u = \phi$ on $\partial\Omega$, and $\phi$ is cont …
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