Semiclassical hypoelliptic estimates with a big loss of derivatives
classification
🧮 math.AP
keywords
derivativesestimateshypoellipticlosssemiclassicalaroundcharacteristicconditions
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We study the pseudospectral properties of general pseudodifferential operators around a doubly characteristic point and provide necessary and sufficient conditions for semiclassical hypoelliptic a priori estimates with a big loss of derivatives to hold.
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