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Results tagged with ap.analysis-of-pdes
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user 109783
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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votes
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answer
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Is this simple-looking weighted poincare-sobolev inequality correct
In Moser's famous paper harnack inequality for parabolic equations, he used the following simple Poincare inequality(Lemma 3)
$\int (f(x)-k)^2 w(x) dx \leq c(w) \int |\nabla f|^2 w(x) dx$
where $k=\ …
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