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Results tagged with parabolic-pde
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user 33510
Questions about partial differential equations of parabolic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
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Space-time Poincaré inequality for solution of parabolic equation
If $u : \mathbb R^n \to \mathbb R$ is a smooth enough function then on any Euclidean $n$-ball $B_R$ of radius $R$ we have the very well-known Poincaré inequality
$$ \int_{B_R} |u - \bar u|^2 \le C(R, …
