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.

A. Parmeggiani (2013). On the Problem of Positivity of Pseudodifferential Systems. NEW YORK : Birkhaeuser, Springer Science+Business Media [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
A. Parmeggiani (2013). On the Problem of Positivity of Pseudodifferential Systems. NEW YORK : Birkhaeuser, Springer Science+Business Media [10.1007/978-1-4614-6348-1].
A. Parmeggiani
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/134618
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