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arxiv: 0910.2511 · v2 · pith:6V6YMXTBnew · submitted 2009-10-14 · 🧮 math.AP · math.SP

Resolvent estimates for non-selfadjoint operators with double characteristics

classification 🧮 math.AP math.SP
keywords characteristicsdoubleresolventestimatesnon-selfadjointoperatorsalongapproximation
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We study resolvent estimates for non-selfadjoint semiclassical pseudodifferential operators with double characteristics. Assuming that the quadratic approximation along the double characteristics is elliptic, we obtain polynomial upper bounds on the resolvent in a suitable region inside the pseudospectrum.

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