In this note we discuss the relationship, under an algebraic con- stant rank condition, between the regularity of the characteristic form’s coef- ficients of a degenerate elliptic linear PDO in RN 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.

On the regularity of vector fields underlying a degenerate-elliptic PDE

Biagi, S.;
2018-01-01

Abstract

In this note we discuss the relationship, under an algebraic con- stant rank condition, between the regularity of the characteristic form’s coef- ficients of a degenerate elliptic linear PDO in RN 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.
2018
Degenerate-elliptic operators, nonsmooth vector fields, constant rank quadratic forms.
File in questo prodotto:
File Dimensione Formato  
E. Battaglia, S. Biagi, G. Tralli - On the regularity of vector fields underlying a degenerate-elliptic PDE.pdf

accesso aperto

: Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione 263.34 kB
Formato Adobe PDF
263.34 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1125149
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact