In this paper we prove that if u is a solution to second-order hyperbolic equation where u is flat on a segment {0} × (−T, T) (T finite), then u vanishes in a neighborhood of {0} × (−T, T) . The novelty with respect to earlier papers on the subject is a nonvanishing damping coefficient in the hyperbolic equation.

Strong unique continuation for second‑order hyperbolic equations with time‑independent coefficients / Sergio Vessella. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 1618-1891. - STAMPA. - 200:(2021), pp. 1399-1415. [10.1007/s10231-020-01042-w]

Strong unique continuation for second‑order hyperbolic equations with time‑independent coefficients

Sergio Vessella
2021

Abstract

In this paper we prove that if u is a solution to second-order hyperbolic equation where u is flat on a segment {0} × (−T, T) (T finite), then u vanishes in a neighborhood of {0} × (−T, T) . The novelty with respect to earlier papers on the subject is a nonvanishing damping coefficient in the hyperbolic equation.
2021
200
1399
1415
Goal 17: Partnerships for the goals
Sergio Vessella
File in questo prodotto:
File Dimensione Formato  
Strong-unique-continuation_AMPA.pdf

Accesso chiuso

Descrizione: Articolo principale
Tipologia: Pdf editoriale (Version of record)
Licenza: Tutti i diritti riservati
Dimensione 1.99 MB
Formato Adobe PDF
1.99 MB Adobe PDF   Richiedi una copia

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

Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1218107
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact