What does hypoelliptic operator mean?
Definitions for hypoelliptic operator
hy·poel·lip·tic op·er·a·tor
This dictionary definitions page includes all the possible meanings, example usage and translations of the word hypoelliptic operator.
Wiktionary
hypoelliptic operatornoun
A differential operator that preserves mathematical smoothness.
Wikidata
Hypoelliptic operator
In mathematics, more specifically in the theory of partial differential equations, a partial differential operator defined on an open subset is called hypoelliptic if for every distribution defined on an open subset such that is, must also be . If this assertion holds with replaced by real analytic, then is said to be analytically hypoelliptic. Every elliptic operator with coefficients is hypoelliptic. In particular, the Laplacian is an example of a hypoelliptic operator. The heat equation operator is hypoelliptic but not elliptic. The wave equation operator is not hypoelliptic.
Numerology
Chaldean Numerology
The numerical value of hypoelliptic operator in Chaldean Numerology is: 4
Pythagorean Numerology
The numerical value of hypoelliptic operator in Pythagorean Numerology is: 6
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"hypoelliptic operator." Definitions.net. STANDS4 LLC, 2024. Web. 30 Apr. 2024. <https://www.definitions.net/definition/hypoelliptic+operator>.
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