VOL. 11 · NO. 1 | 2018
Shu Shen
Anal. PDE 11 (1), 1-74, (2018) DOI: 10.2140/apde.2018.11.1
KEYWORDS: index theory and related fixed point theorems, analytic torsion, Selberg trace formula, dynamical zeta functions, 58J20, 58J52, 11F72, 11M36, 37C30
Seunghyeok Kim, Monica Musso, Juncheng Wei
Anal. PDE 11 (1), 75-113, (2018) DOI: 10.2140/apde.2018.11.75
KEYWORDS: fractional Yamabe problem, conformal geometry, existence, 53C21, 35R11, 53A30
Jonathan M. Fraser, Tuomas Sahlsten
Anal. PDE 11 (1), 115-132, (2018) DOI: 10.2140/apde.2018.11.115
KEYWORDS: Brownian motion, Wiener process, Itô calculus, Itô drift-diffusion process, Fourier transform, Fourier dimension, Salem set, graph, 42B10, 60H30, 11K16, 60J65, 28A80
Bogdan Georgiev, Mayukh Mukherjee
Anal. PDE 11 (1), 133-148, (2018) DOI: 10.2140/apde.2018.11.133
KEYWORDS: Laplace eigenfunctions, nodal domains, Brownian motion, 35P20, 53B20, 53Z05, 35K05
Jessica Elisa Massetti
Anal. PDE 11 (1), 149-170, (2018) DOI: 10.2140/apde.2018.11.149
KEYWORDS: normal forms, Diophantine tori, KAM, counter terms, translated tori, 37-XX, 37C05, 37J40
Antonio Siconolfi, Alfonso Sorrentino
Anal. PDE 11 (1), 171-211, (2018) DOI: 10.2140/apde.2018.11.171
KEYWORDS: Hamilton–Jacobi equation, embedded networks, Graphs, viscosity solutions, viscosity subsolutions, Comparison principle, discrete functional equation on graphs, Hopf–Lax formula, discrete weak KAM theory, 35F21, 35R02, 35B51, 49L25
Georgi Vodev
Anal. PDE 11 (1), 213-236, (2018) DOI: 10.2140/apde.2018.11.213
KEYWORDS: Dirichlet-to-Neumann map, transmission eigenvalues, 35P15
Sang-Gyun Youn
Anal. PDE 11 (1), 237-261, (2018) DOI: 10.2140/apde.2018.11.237
KEYWORDS: Hardy–Littlewood inequality, quantum groups, Fourier analysis, 20G42, 43A15, 46L51, 46L52
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