VOL. 4 · NO. 2 | 2022
 
VIEW ALL ABSTRACTS +
Articles
Antônio Sá Barreto, Gunther Uhlmann, Yiran Wang
Pure Appl. Anal. 4 (2), 191-223, (2022) DOI: 10.2140/paa.2022.4.191
KEYWORDS: nonlinear wave equations, radiation fields, scattering, inverse scattering, 35P25, 58J50, 35R30
Thomas Beck, Yaiza Canzani, Jeremy Louis Marzuola
Pure Appl. Anal. 4 (2), 225-256, (2022) DOI: 10.2140/paa.2022.4.225
KEYWORDS: impedance boundary conditions, Poincaré–Steklov method, boundary trace estimates, 35J05, 65N55
Gregory Berkolaiko, Yaiza Canzani, Graham Cox, Jeremy Louis Marzuola
Pure Appl. Anal. 4 (2), 257-286, (2022) DOI: 10.2140/paa.2022.4.257
KEYWORDS: dispersion relation, tight-binding model, graph Laplacian, Floquet–Bloch, band gaps, 35Q40, 81Q10, 81Q35
Kazuki Aoki, Takahisa Inui, Hayato Miyazaki, Haruya Mizutani, Kota Uriya
Pure Appl. Anal. 4 (2), 287-311, (2022) DOI: 10.2140/paa.2022.4.287
KEYWORDS: Schrödinger equation, star graph, long-range nonlinearity, modified scattering, failure of scattering, 35B40, 35Q55
Robert Schippa, Roland Schnaubelt
Pure Appl. Anal. 4 (2), 313-365, (2022) DOI: 10.2140/paa.2022.4.313
KEYWORDS: Maxwell equations, Strichartz estimates, Quasilinear wave equations, rough coefficients, half wave equation, Kerr nonlinearity, FBI transform, phase space analysis, 35B65, 35L45, 35Q61
Robert J. McCann, Clemens Sämann
Pure Appl. Anal. 4 (2), 367-400, (2022) DOI: 10.2140/paa.2022.4.367
KEYWORDS: metric geometry, Lorentz geometry, Lorentzian length spaces, Hausdorff dimension, synthetic curvature bounds, continuous spacetimes, doubling measures, 28A75, 51K10, 53C23, 53C50, 53B30, 53C80, 83C99
Back to Top