VOL. 8 · NO. 5 | 2015
Colette Anné, Junya Takahashi
Anal. PDE 8 (5), 1025-1050, (2015) DOI: 10.2140/apde.2015.8.1025 Open Access
KEYWORDS: Laplacian, Hodge–de Rham operator, differential form, eigenvalue, collapsing of Riemannian manifolds, conical singularity, elliptic boundary value problem, 58J50, 35P15, 53C23, 58J32
Detlef Müller, Andreas Seeger
Anal. PDE 8 (5), 1051-1100, (2015) DOI: 10.2140/apde.2015.8.1051 Open Access
KEYWORDS: wave equation, subelliptic Laplacian, Heisenberg group, 35L05, 35S30, 42B15, 43A80
Yifei Wu
Anal. PDE 8 (5), 1101-1112, (2015) DOI: 10.2140/apde.2015.8.1101 Open Access
KEYWORDS: nonlinear Schrödinger equation with derivative, global well-posedness, energy space, 35Q55, 35A01
Corentin Audiard
Anal. PDE 8 (5), 1113-1143, (2015) DOI: 10.2140/apde.2015.8.1113 Open Access
KEYWORDS: boundary value problems, Schrödinger equation, global well-posedness, boundary data with sharp regularity, 35A01, 35A02, 35Q41, 35B45
Bo Guan, Shujun Shi, Zhenan Sui
Anal. PDE 8 (5), 1145-1164, (2015) DOI: 10.2140/apde.2015.8.1145 Open Access
KEYWORDS: fully nonlinear parabolic equations, a priori estimates, subsolutions, concavity, 35K55, 35B45, 58J35
Juan Dávila, Manuel del Pino, Serena Dipierro, Enrico Valdinoci
Anal. PDE 8 (5), 1165-1235, (2015) DOI: 10.2140/apde.2015.8.1165 Open Access
KEYWORDS: nonlocal quantum mechanics, Green functions, concentration phenomena, 35R11
Tomás Lungenstrass, Georgi Raikov
Anal. PDE 8 (5), 1237-1262, (2015) DOI: 10.2140/apde.2015.8.1237 Open Access
KEYWORDS: Landau Hamiltonian, metric perturbations, position-dependent mass, Spectral asymptotics, 35J10, 35P20, 47G30, 81Q10
Shaoming Guo
Anal. PDE 8 (5), 1263-1288, (2015) DOI: 10.2140/apde.2015.8.1263 Open Access
KEYWORDS: singular integrals, differentiation theory, Jones' beta numbers, Littlewood–Paley theory on Lipschitz curves, Carleson embedding theorem, 42B20, 42B25
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