University of Illinois at Urbana-ChampaignDepartment of Mathematics
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Main CV Papers Other

SUBMITTED

[1] (with Richard Laugesen) Minimizing Neumann fundamental tones of triangles: an optimal Poincare inequality.
[ http://front.math.ucdavis.edu/0907.1552 ]
[2] (with Richard Laugesen) Maximizing Neumann fundamental tones of triangles.
[ http://front.math.ucdavis.edu/0907.1562 ]

ACCEPTED

[1] (with Pedro Freitas) Bounds for the first Dirichlet eigenvalue of triangles and quadrilaterals. ESAIM:COCV DOI: 10.1051/cocv/2009018.
[ E-First ]
[2] (with Rodrigo Bañuelos and Tadeusz Kulczycki) On the Trace of symmetric stable processes on Lipschitz domains. J. Funct. Anal.
[ http://front.math.ucdavis.edu/0903.1198 ]
[3] Isoperimetric inequalities for eigenvalues of triangles. Indiana Univ. Math. J.
[ Preprint ] [ Extended version ]
[4] Scattering length for stable processes. Illinois J. Math.
[ http://front.math.ucdavis.edu/0603.5627 ]

PUBLISHED

[1] (with Rodrigo Bañuelos and Tadeusz Kulczycki) Neumann Bessel heat kernel monotonicity. Potential Anal., 30(1):65-83, 2009.
[ http://www.ams.org/mathscinet-getitem?mr=MR2465712 ]
[2] Sharp bounds for eigenvalues of triangles. Michigan Math. J., 55(2):243-254, 2007.
[ http://www.ams.org/mathscinet-getitem?mr=MR2369934 ]
[3] Symmetric stable processes on unbounded domains. Potential Anal., 25(4):371-386, 2006.
[ http://www.ams.org/mathscinet-getitem?mr=MR2255353 ]
[4] (with Tadeusz Kulczycki) Intrinsic ultracontractivity of the Feynman-Kac semigroup for relativistic stable processes. Trans. Amer. Math. Soc., 358(11):5025-5057 (electronic), 2006.
[ http://www.ams.org/mathscinet-getitem?mr=MR2231884 ]
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