6533b82bfe1ef96bd128ce36

RESEARCH PRODUCT

Resolvent estimates for elliptic quadratic differential operators

Joe ViolaJohannes SjöstrandMichael Hitrik

subject

quadratic differential operatorSemiclassical physics47A10 35P05 15A63 53D2215A6353D22spectrumMathematics - Spectral TheoryMathematics - Analysis of PDEsQuadratic equationFOS: Mathematicsnonselfadjoint operator35P05Quadratic differentialSpectral Theory (math.SP)ResolventMathematicsNumerical AnalysisMathematics::Operator AlgebrasApplied MathematicsMathematical analysisSpectrum (functional analysis)resolvent estimateMathematics::Spectral TheoryDifferential operator47A10Range (mathematics)FBI-Bargmann transformAnalysisAnalysis of PDEs (math.AP)

description

Sharp resolvent bounds for non-selfadjoint semiclassical elliptic quadratic differential operators are established, in the interior of the range of the associated quadratic symbol.

yearjournalcountryeditionlanguage
2011-09-21
10.2140/apde.2013.6.181https://projecteuclid.org/euclid.apde/1513731293