Michael Hitrik

Phone: (310) 206-0739
Fax: (310) 206-6673
E-mail: hitrik@math.ucla.edu

Address:: Department of Mathematics; UCLA; Los Angeles; CA 90095-1555; USA

In the spring of 2008 I am teaching Math 274A

290G, Student PDE Seminar: Schedule

Analysis and PDE Seminar Schedule

Recent papers in postscript form:

Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions I (with Johannes Sjöstrand), Annales Henri Poincaré 5 (2004), 1-73.

Eigenfrequencies and expansions for damped wave equations , Methods and Application of Analysis 10(4) (2003), 543--564.

Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions II. Vanishing averages (with Johannes Sjöstrand), Comm. Partial Differential Equations, 30 (2005), no. 7-9, 1065--1106.

Boundary spectral behavior for semiclassical operators in dimension one , IMRN 64 (2004), 3417--3438.

Diophantine tori and spectral asymptotics for non-selfadjoint operators (with Johannes Sjöstrand and San Vu Ngoc), American Journal of Mathematics, 129 (2007), no. 1, 105--182.

Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions IIIa. One branching point (with Johannes Sjöstrand), Canadian Journal of Mathematics, to appear, click here.

Energy decay for damped wave equations on partially rectangular domains (with Nicolas Burq), Mathematical Research Letters, 14 (2007), no. 1, 35--47.

Rational invariant tori, phase space tunneling, and spectra for non-selfadjoint operators in dimension 2 (with Johannes Sjöstrand), Ann. Sci. Ecole Norm. Sup., to appear.

Tunnel effect for Kramers-Fokker-Planck operators (with Frederic Herau and Johannes Sjöstrand), Annales Henri Poincaré, to appear, click here.

Spectra and semigroup smoothing for non-elliptic quadratic operators (with Karel Pravda-Starov), preprint, 2007, click here.

Tunnel effect for Kramers-Fokker-Planck type operators: return to equilibrium and applications (with Frederic Herau and Johannes Sjöstrand), IMRN, to appear, click here.