2 results
Involutivity of distributions at points of superdense tangency with respect to normal currents
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- Journal:
- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 154 / Issue 2 / April 2024
- Published online by Cambridge University Press:
- 24 March 2023, pp. 508-524
- Print publication:
- April 2024
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Let ${\mathcal {D}}$
and $T$
be, respectively, a $C^1$
distribution of $k$
-planes and a normal $k$
-current on ${\mathbb {R}}^n$
. Then ${\mathcal {D}}$
has to be involutive at almost every superdensity point of the tangency set of $T$
with respect to ${\mathcal {D}}$
.
The identity G(D)f = F for a linear partial differential operator G(D). Lusin type and structure results in the non-integrable case
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- Journal:
- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 151 / Issue 6 / December 2021
- Published online by Cambridge University Press:
- 26 November 2020, pp. 1893-1919
- Print publication:
- December 2021
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