I give here in the first place a survey of the problem of positivity estimates for systems of pseudodifferential operators, such as the Sharp-Garding and the Fefferman-Phong inequalities. Next, I generalize Fujiwara's construction of the approximate positive/negative part of a first-order scalar pseudodifferential operator to certain 2x2 systems of pseudodifferential operators.

On the Problem of Positivity of Pseudodifferential Systems / A. Parmeggiani. - STAMPA. - (2013), pp. 313-335. [10.1007/978-1-4614-6348-1]

On the Problem of Positivity of Pseudodifferential Systems

PARMEGGIANI, ALBERTO
2013

Abstract

I give here in the first place a survey of the problem of positivity estimates for systems of pseudodifferential operators, such as the Sharp-Garding and the Fefferman-Phong inequalities. Next, I generalize Fujiwara's construction of the approximate positive/negative part of a first-order scalar pseudodifferential operator to certain 2x2 systems of pseudodifferential operators.
2013
Studies in Phase Space Analysis with Applications to PDEs
313
335
On the Problem of Positivity of Pseudodifferential Systems / A. Parmeggiani. - STAMPA. - (2013), pp. 313-335. [10.1007/978-1-4614-6348-1]
A. Parmeggiani
File in questo prodotto:
Eventuali allegati, non sono esposti

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/11585/134618
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 8
social impact