VOL. 7 · NO. 4 | 2014
Jared Speck
Anal. PDE 7 (4), 771-901, (2014) DOI: 10.2140/apde.2014.7.771 Open Access
KEYWORDS: Born–Infeld, canonical stress, energy currents, global existence, Hardy inequality, Klainerman–Sobolev inequality, Lagrangian field theory, nonlinear electromagnetism, null condition, null decomposition, quasilinear wave equation, regularly hyperbolic, vector field method, weak null condition, 35A01, 35Q76, 35L99, 35Q60, 35Q76, 78A25, 83C22, 83C50
Valeria Banica, Liviu Ignat
Anal. PDE 7 (4), 903-927, (2014) DOI: 10.2140/apde.2014.7.903 Open Access
KEYWORDS: Schrödinger equation on metric graphs, with 1-D delta potentials, representation of solutions, dispersion and Strichartz estimates, 35B45, 35J10, 35R05, 35CXX, 35R02
Francesc Perera, Andrew Toms, Stuart White, Wilhelm Winter
Anal. PDE 7 (4), 929-952, (2014) DOI: 10.2140/apde.2014.7.929 Open Access
KEYWORDS: C*-algebras, perturbation, Cuntz semigroup, stability, quasitraces, Traces, 46L05, 46L35, 46L85
Jean-Philippe Anker, Vittoria Pierfelice
Anal. PDE 7 (4), 953-995, (2014) DOI: 10.2140/apde.2014.7.953 Open Access
KEYWORDS: Hyperbolic space, wave kernel, semilinear wave equation, semilinear Klein–Gordon equation, dispersive estimate, Strichartz estimate, global well-posedness, 35L05, 43A85, 43A90, 47J35, 22E30, 35L71, 58D25, 58J45, 81Q05
Aurélien Poiret, Didier Robert, Laurent Thomann
Anal. PDE 7 (4), 997-1026, (2014) DOI: 10.2140/apde.2014.7.997 Open Access
KEYWORDS: harmonic oscillator, supercritical nonlinear Schrödinger equation, random initial conditions, scattering, global solutions, 35P05, 35Q55, 35R60
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