Some Properties of Solutions to Weakly Hypoelliptic Equations¶
(2013). Some Properties of Solutions to Weakly Hypoelliptic Equations. International Journal of Differential Equations.
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1 citation across 1 artifact.
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Domain-specific¶
- Hypoelliptic Operator
- A hypoelliptic operator passes a local smoothness test: whenever a distribution \(u\) has a smooth image \(Pu\) on an open region, \(u\) must be smooth there.
This sourceOriginal full article inspected, especially §2 definition, Example 1, elliptic/parabolic/hyperbolic discussion, and Table 1. The paper explicitly distinguishes full from weak hypoellipticity.
- A hypoelliptic operator passes a local smoothness test: whenever a distribution \(u\) has a smooth image \(Pu\) on an open region, \(u\) must be smooth there.
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