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.File in questo prodotto:
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