In this paper I will give a survey on a priori estimates such as the Gårding, Sharp-Gårding, Melin, Hörmander and the Fefferman–Phong inequalities for pseu- dodifferential operators, discuss some generalizations and open problems in some directions. Finally, I will describe what is known at present in the case of systems of pseudodifferential operators, the latter being a still largely open and unexplored area.

Alberto Parmeggiani (2018). Almost-Positivity Estimates of Pseudodifferential Operators. Cham : Springer International Publishing [10.1007/978-3-030-00874-1_4].

Almost-Positivity Estimates of Pseudodifferential Operators

Alberto Parmeggiani
2018

Abstract

In this paper I will give a survey on a priori estimates such as the Gårding, Sharp-Gårding, Melin, Hörmander and the Fefferman–Phong inequalities for pseu- dodifferential operators, discuss some generalizations and open problems in some directions. Finally, I will describe what is known at present in the case of systems of pseudodifferential operators, the latter being a still largely open and unexplored area.
2018
Mathematical Analysis and Applications—Plenary Lectures
109
137
Alberto Parmeggiani (2018). Almost-Positivity Estimates of Pseudodifferential Operators. Cham : Springer International Publishing [10.1007/978-3-030-00874-1_4].
Alberto Parmeggiani
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/652475
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