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David Borthwick

Affiliations: 
Math and Computer Science Emory University, Atlanta, GA 
Area:
Mathematics
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"David Borthwick"
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Laura C. Crompton grad student 2012 Emory
Pascal Philipp grad student 2014 Emory

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Publications

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Borthwick D, Guillarmou C. (2016) Upper bounds for the number of resonances on geometrically finite hyperbolic manifolds Journal of the European Mathematical Society. 18: 997-1041
Borthwick D, Marzuola JL. (2015) Dispersive Estimates for Scalar and Matrix Schrödinger Operators on ℍn+1 Mathematical Physics Analysis and Geometry. 18
Borthwick D, Philipp P. (2014) Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends Asymptotic Analysis. 90: 281-323
Borthwick D. (2014) Distribution of resonances for hyperbolic surfaces Experimental Mathematics. 23: 25-45
Borthwick D. (2012) Sharp geometric upper bounds on resonances for surfaces with hyperbolic ends Analysis and Pde. 5: 513-552
Borthwick D, Christiansen TJ, Hislop PD, et al. (2011) Resonances for manifolds hyperbolic near infinity: Optimal lower bounds on order of growth International Mathematics Research Notices. 2011: 4431-4470
Borthwick D, Perry PA. (2011) Inverse scattering results for manifolds hyperbolic near infinity Journal of Geometric Analysis. 21: 305-333
Borthwick D. (2010) Sharp upper bounds on resonances for perturbations of hyperbolic space Asymptotic Analysis. 69: 45-85
Borthwick D. (2008) Upper and lower bounds on resonances for manifolds hyperbolic near infinity Communications in Partial Differential Equations. 33: 1507-1539
Borthwick D, Uribe A. (2007) The semiclassical structure of low-energy states in the presence of a magnetic field Transactions of the American Mathematical Society. 359: 1875-1888
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