VOL. 8 · NO. 1 | 2015
Seiichiro Kusuoka
Anal. PDE 8 (1), 1-32, (2015) DOI: 10.2140/apde.2015.8.1 Open Access
KEYWORDS: parabolic partial differential equation, diffusion, fundamental solution, Hölder continuity, Gaussian estimate, Stochastic differential equation, Coupling method, 35B65, 35K10, 60H30, 60H10, 60J60
Bo’az Klartag, Alexander Kolesnikov
Anal. PDE 8 (1), 33-55, (2015) DOI: 10.2140/apde.2015.8.33 Open Access
KEYWORDS: Transportation of measure, Log-concave measures, 35J96
Tuomo Kuusi, Giuseppe Mingione, Yannick Sire
Anal. PDE 8 (1), 57-114, (2015) DOI: 10.2140/apde.2015.8.57 Open Access
KEYWORDS: elliptic equations, fractional differentiability, nonlocal operators, 35D10, 35R11
Steve Hofmann, Marius Mitrea, Michael Taylor
Anal. PDE 8 (1), 115-181, (2015) DOI: 10.2140/apde.2015.8.115 Open Access
KEYWORDS: singular integral operator, Compact operator, pseudodifferential operator, rough symbol, symbol calculus, single layer potential operator, strongly elliptic system, boundary value problem, nontangential maximal function, nontangential boundary trace, Dirichlet problem, regularity problem, Poisson problem, oblique derivative problem, regular elliptic boundary problem, elliptic first-order system, Hodge–Dirac operator, Cauchy integral, Hardy spaces, Sobolev Spaces, Besov spaces, Lipschitz domain, SKT domain, 31B10, 35S05, 35S15, 42B20, 35J57, 42B37, 45B05, 58J05, 58J32
Dimitri Yafaev
Anal. PDE 8 (1), 183-221, (2015) DOI: 10.2140/apde.2015.8.183 Open Access
KEYWORDS: Hankel operators, Convolutions, necessary and sufficient conditions for positivity, sign function, operators of finite rank, the Carleman operator and its perturbations, 47A40, 47B25
Guillaume Roy-Fortin
Anal. PDE 8 (1), 223-255, (2015) DOI: 10.2140/apde.2015.8.223 Open Access
KEYWORDS: spectral geometry, Laplace eigenfunctions, nodal sets, growth of eigenfunctions, 58J50
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