VOL. 10 · NO. 4 | 2017
Alexander Iosevich, Azita Mayeli, Jonathan Pakianathan
Anal. PDE 10 (4), 757-764, (2017) DOI: 10.2140/apde.2017.10.757 Open Access
KEYWORDS: exponential bases, Erdős problems, Fuglede conjecture, 05A18, 11P99, 41A10, 42B05, 52C20
Maxime Ingremeau
Anal. PDE 10 (4), 765-816, (2017) DOI: 10.2140/apde.2017.10.765 Open Access
KEYWORDS: scattering theory, quantum chaos, semiclassical measures, distorted plane waves, 35P20, 35P25, 81Q50
Stefan Buschenhenke, Detlef Müller, Ana Vargas
Anal. PDE 10 (4), 817-891, (2017) DOI: 10.2140/apde.2017.10.817 Open Access
KEYWORDS: Fourier restriction, finite type, multilinear, bilinear, 42B10
Xuecheng Wang
Anal. PDE 10 (4), 893-928, (2017) DOI: 10.2140/apde.2017.10.893 Open Access
KEYWORDS: 3-dimensional water waves, finite depth, flat bottom, new energy estimate, 35Q35, 76B15
Paata Ivanisvili, Alexander Volberg
Anal. PDE 10 (4), 929-942, (2017) DOI: 10.2140/apde.2017.10.929 Open Access
KEYWORDS: Poincaré inequality, Log-Sobolev inequality, Sobolev inequality, Beckner inequality, Gaussian measure, Log-concave measures, semigroups, Hermite polynomials, Hermite differential equation, confluent hypergeometric functions, Turán's inequality, error term in Jensen's inequality, phi-entropy, phi-Sobolev, F-Sobolev, phi-divergence, information theory, backwards heat, Monge–Amperè with drift, exterior differential systems, 42B37, 52A40, 35K55, 42C05, 60G15, 33C15, ‎46G12
Giulio Romani
Anal. PDE 10 (4), 943-982, (2017) DOI: 10.2140/apde.2017.10.943 Open Access
KEYWORDS: biharmonic operator, positivity-preserving property, semilinear problem, positive least-energy solutions, Nehari manifold, 35G30, 49J40
Jérôme Le Rousseau, Gilles Lebeau, Peppino Terpolilli, Emmanuel Trélat
Anal. PDE 10 (4), 983-1015, (2017) DOI: 10.2140/apde.2017.10.983 Open Access
KEYWORDS: wave equation, geometric control condition, time-dependent observation domain, 35L05, 93B07, 93C20
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