On the regularity of vector fields underlying a degenerate-elliptic PDE
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- by Erika Battaglia, Stefano Biagi and Giulio Tralli PDF
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Abstract:
In this note we discuss the relationship, under an algebraic constant rank condition, between the regularity of the characteristic form’s coefficients of a degenerate elliptic linear PDO in $\mathbb {R}^N$ and the regularity of vector fields controlling its degeneracy. We consider both the cases where the number of vector fields is $N$ and it is equal to the rank.References
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Additional Information
- Erika Battaglia
- Affiliation: Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta S. Donato, 5 - 40126 Bologna, Italy
- Address at time of publication: Dipartimento di Matematica “Tullio Levi-Civita”, Università degli Studi di Padova, Via Trieste 63, 35121 Padova, Italy
- Email: erika.battaglia@math.unipd.it
- Stefano Biagi
- Affiliation: Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta S. Donato, 5 - 40126 Bologna, Italy
- MR Author ID: 132040
- ORCID: 0000-0002-9694-2566
- Email: stefano.biagi3@unibo.it
- Giulio Tralli
- Affiliation: Dipartimento di Matematica, Sapienza Università di Roma, P.le Aldo Moro 5, 00185 Roma, Italy
- MR Author ID: 925403
- Email: tralli@mat.uniroma1.it
- Received by editor(s): January 28, 2016
- Received by editor(s) in revised form: June 3, 2017
- Published electronically: November 13, 2017
- Additional Notes: The third author is the corresponding author
- Communicated by: Jeremy Tyson
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 1651-1664
- MSC (2010): Primary 35J70, 15A23, 47A56
- DOI: https://doi.org/10.1090/proc/13866
- MathSciNet review: 3754349