VOL. 6 · NO. 5 | 2013
Vincent Guedj, Boris Kolev, Nader Yeganefar
Anal. PDE 6 (5), 1001-1012, (2013) DOI: 10.2140/apde.2013.6.1001 Open Access
KEYWORDS: Lichnerowicz estimate, first eigenvalue, convex domains in Kähler manifolds, 35P15, 58C40
Ben Andrews, Julie Clutterbuck
Anal. PDE 6 (5), 1013-1024, (2013) DOI: 10.2140/apde.2013.6.1013 Open Access
KEYWORDS: eigenvalue lower bound, heat equation, modulus of continuity, 35K05, 35K55, 35P15
Nam Le, Ovidiu Savin
Anal. PDE 6 (5), 1025-1050, (2013) DOI: 10.2140/apde.2013.6.1025 Open Access
KEYWORDS: boundary regularity, convex minimizer, fourth-order elliptic equation, prescribed determinant, 35J96, 35J66
Denis Borisov, Pedro Freitas
Anal. PDE 6 (5), 1051-1088, (2013) DOI: 10.2140/apde.2013.6.1051 Open Access
KEYWORDS: Laplace–Beltrami operator, eigenvalue, flat manifolds, 35P15, 35J05
Romain Joly, Camille Laurent
Anal. PDE 6 (5), 1089-1119, (2013) DOI: 10.2140/apde.2013.6.1089 Open Access
KEYWORDS: damped wave equation, stabilization, analyticity, unique continuation property, compact attractor, 35B40, 35B60, 35B65, 93D20, 35L71, 35B41
Juhi Jang, Ian Tice
Anal. PDE 6 (5), 1121-1181, (2013) DOI: 10.2140/apde.2013.6.1121 Open Access
KEYWORDS: Navier–Stokes–Poisson, free boundary problems, gaseous stars, hydrodynamic instability, nonlinear instability, 35Q30, 35R35, 76E20, 85A30
Enno Lenzmann, Mathieu Lewin
Anal. PDE 6 (5), 1183-1211, (2013) DOI: 10.2140/apde.2013.6.1183 Open Access
KEYWORDS: Hartree equation, RAGE theorem, ionization bound, positive commutator, 35Q55, 81Q05, 81Q10, 35Q41
Gregory Berkolaiko
Anal. PDE 6 (5), 1213-1233, (2013) DOI: 10.2140/apde.2013.6.1213 Open Access
KEYWORDS: discrete Laplace operator, nodal count, discrete magnetic Schrödinger operator, 05C50, 58J50, 81Q10, 81Q35
Yves Colin de Verdière
Anal. PDE 6 (5), 1235-1242, (2013) DOI: 10.2140/apde.2013.6.1235 Open Access
KEYWORDS: operator on graphs, Schrödinger operators with magnetic fields, Morse index, Courant nodal theorem, Hill's operator, 05C50, 35P05
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