VOL. 11 · NO. 8 | 2018
 
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Articles
Mouhamadou Sy
Anal. PDE 11 (8), 1841-1879, (2018) DOI: 10.2140/apde.2018.11.1841
KEYWORDS: Benjamin–Ono equation, invariant measure, long time behavior, regular solutions, inviscid limit, 35A09, 35B40, 35Q51, 35R60, 37K10
Ovidiu Savin
Anal. PDE 11 (8), 1881-1900, (2018) DOI: 10.2140/apde.2018.11.1881
KEYWORDS: nonlocal phase transitions, De Giorgi conjecture, 35J61
Allan Greenleaf, Matti Lassas, Matteo Santacesaria, Samuli Siltanen, Gunther Uhlmann
Anal. PDE 11 (8), 1901-1943, (2018) DOI: 10.2140/apde.2018.11.1901
KEYWORDS: electrical impedance tomography, propagation of singularities, Calderón's problem, tomography, Radon transform, 35R30, 58J40, 65N21
Scott Armstrong, Alexandre Bordas, Jean-Christophe Mourrat
Anal. PDE 11 (8), 1945-2014, (2018) DOI: 10.2140/apde.2018.11.1945
KEYWORDS: Stochastic homogenization, parabolic equation, large-scale regularity, variational methods, 35B27, 35B45, 60K37, 60F05
Luigi Orsina, Augusto C. Ponce
Anal. PDE 11 (8), 2015-2047, (2018) DOI: 10.2140/apde.2018.11.2015
KEYWORDS: Hopf lemma, boundary point lemma, ‎Schrödinger operator‎, weak normal derivative, 35B05, 35B50, 31B15, 31B35
Tamás Darvas, Eleonora Di Nezza, Chinh H. Lu
Anal. PDE 11 (8), 2049-2087, (2018) DOI: 10.2140/apde.2018.11.2049
KEYWORDS: Monge–Ampère equation, variational approach, pluripotential theory, 32Q15, 32U05, 32W20, 32Q20
Fedor Nazarov, Alexander Reznikov, Vasily Vasyunin, Alexander Volberg
Anal. PDE 11 (8), 2089-2109, (2018) DOI: 10.2140/apde.2018.11.2089
KEYWORDS: martingale transform, weak weighted estimate, 42A45, 42A61, 42B20, 42B35, 42B37, 47A30, 42A50, 49L20, 49L25
Fabricio Macià, Gabriel Rivière
Anal. PDE 11 (8), 2111-2136, (2018) DOI: 10.2140/apde.2018.11.2111
KEYWORDS: quasimodes, ‎Schrödinger operator‎, semiclassical measures, time-dependent Schrödinger equation, 58J51, 35P20, 35Q41, 58J50
Tarek Hamdi
Anal. PDE 11 (8), 2137-2148, (2018) DOI: 10.2140/apde.2018.11.2137
KEYWORDS: free Jacobi process, free unitary Brownian motion, Multiplicative convolution, Spectral distribution, Herglotz transform, Szegő transformation, 42B37, 46L54
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