VOL. 13 · NO. 5 | 2020
 
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Articles
Sun-Sig Byun, Jehan Oh
Anal. PDE 13 (5), 1269-1300, (2020) DOI: 10.2140/apde.2020.13.1269
KEYWORDS: double phase functional, Lavrentiev phenomenon, nonstandard growth, quasiminimizer, regularity, 49N60, 35B65, 35J20
Katarzyna Mazowiecka, Rémy Rodiac, Armin Schikorra
Anal. PDE 13 (5), 1301-1331, (2020) DOI: 10.2140/apde.2020.13.1301
KEYWORDS: $p$-harmonic maps, free boundary regularity, epsilon-regularity, 58E20, 35B65, 35R35, 35J58, 35J66
Haruya Mizutani
Anal. PDE 13 (5), 1333-1369, (2020) DOI: 10.2140/apde.2020.13.1333
KEYWORDS: uniform Sobolev estimate, limiting absorption principle, Strichartz estimate, spectral multiplier theorem, eigenvalue bounds, Schrödinger equation, 35P25, 35J10, 35P15, 35Q41
Pierre-Damien Thizy
Anal. PDE 13 (5), 1371-1415, (2020) DOI: 10.2140/apde.2020.13.1371
KEYWORDS: Moser–Trudinger inequality, blow-up analysis, elliptic equations, extremal function, 35B33, 35B44, 35J15, 35J61
David Gérard-Varet, Nader Masmoudi, Vlad Vicol
Anal. PDE 13 (5), 1417-1455, (2020) DOI: 10.2140/apde.2020.13.1417
KEYWORDS: fluid mechanics, Navier–Stokes equations, 35Q30, 35Q35
Shaoming Guo, Joris Roos, Po-Lam Yung
Anal. PDE 13 (5), 1457-1500, (2020) DOI: 10.2140/apde.2020.13.1457
KEYWORDS: variation-norm, polynomial Carleson, 42B20, 42B25
Panu Lahti
Anal. PDE 13 (5), 1501-1519, (2020) DOI: 10.2140/apde.2020.13.1501
KEYWORDS: metric measure space, set of finite perimeter, Federer's characterization, measure-theoretic boundary, codimension-1 Hausdorff measure, Fine topology, 30L99, 31E05, 26B30
Yves Colin de Verdière
Anal. PDE 13 (5), 1521-1537, (2020) DOI: 10.2140/apde.2020.13.1521
KEYWORDS: forced waves, internal waves, inertial waves, attractors, Mourre theory, Spectral theory, limiting absorption principle, escape functions, pseudodifferential operator, Morse–Smale property, 35B34, 35Q30, 35Q35, 58J40, 76B55, 76B70
Robert Jenkins, Jiaqi Liu, Peter Perry, Catherine Sulem
Anal. PDE 13 (5), 1539-1578, (2020) DOI: 10.2140/apde.2020.13.1539
KEYWORDS: derivative nonlinear Schrödinger, inverse scattering, global well-posedness, 35Q55, 37K15, 35P25, 35R30
Mario B. Schulz
Anal. PDE 13 (5), 1579-1590, (2020) DOI: 10.2140/apde.2020.13.1579
KEYWORDS: Yamabe flow, instantaneously complete, unbounded curvature, 35A01, 35K55, 53C44, 35A02, 35K65
Paata Ivanisvili, Connor Mooney
Anal. PDE 13 (5), 1591-1603, (2020) DOI: 10.2140/apde.2020.13.1591
KEYWORDS: triangle inequality, $L^p$ spaces, concave envelopes, Bellman function, 42B20, 42B35, 47A30
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