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arXiv · 1305.4495

Right inverses for partial differential operators on spaces of Whitney functions

Tomasz Ciaś
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Abstract

For v\in R^n let K be a compact set in R^n containing a suitable smooth surface and such that the intersection {tv+x:t\in R}\cap K is a closed interval or a single point for all x\in K. We prove that every linear first order differential operator with constant coefficients in direction v on space of Whitney functions E(K) admits a continuous linear right inverse.

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Tomasz Ciaś. 2013-05-20. Right inverses for partial differential operators on spaces of Whitney functions. https://arxiv.org/abs/1305.4495

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