VOL. 13 · NO. 3 | 2020
 
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Articles
Clara Antonucci, Massimo Gobbino, Nicola Picenni
Anal. PDE 13 (3), 627-649, (2020) DOI: 10.2140/apde.2020.13.627
KEYWORDS: Gamma-convergence, Total variation, bounded-variation functions, nonlocal functional, nonconvex functional, 26B30, 46E35
Olivier Glass, József J. Kolumbán, Franck Sueur
Anal. PDE 13 (3), 651-684, (2020) DOI: 10.2140/apde.2020.13.651
KEYWORDS: fluid-solid interaction, Impulsive control, geodesics, coupled ODE/PDE system, fluid mechanics, Euler equation, control problem, external boundary control, 76B75, 93C15, 93C20
Neil Lyall, Ákos Magyar
Anal. PDE 13 (3), 685-700, (2020) DOI: 10.2140/apde.2020.13.685
KEYWORDS: distance graphs, uniformity norms, geometric Ramsey theory, 11B30
Marius Ghergu, Sunghan Kim, Henrik Shahgholian
Anal. PDE 13 (3), 701-739, (2020) DOI: 10.2140/apde.2020.13.701
KEYWORDS: elliptic system, isolated singularity, asymptotic behavior, Pohozaev invariant, 35J61, 35J75, 35B40, 35C20
Dario Mazzoleni, Susanna Terracini, Bozhidar Velichkov
Anal. PDE 13 (3), 741-764, (2020) DOI: 10.2140/apde.2020.13.741
KEYWORDS: regularity of free boundaries, NTA domains, optimality conditions, viscosity solutions, branching points, 35R35, 35J60, 49K20
Gergely Kiss, Romanos Diogenes Malikiosis, Gábor Somlai, Máté Vizer
Anal. PDE 13 (3), 765-788, (2020) DOI: 10.2140/apde.2020.13.765
KEYWORDS: Pompeiu problem, spectral set conjecture, tiling, vanishing sums of roots of unity, 39B32, 43A46, 13F20, 20K01
Ibrokhimbek Akramov, Tomasz Dębiec, Jack Skipper, Emil Wiedemann
Anal. PDE 13 (3), 789-811, (2020) DOI: 10.2140/apde.2020.13.789
KEYWORDS: compressible Euler equations, compressible Navier–Stokes equations, vacuum, Onsager's conjecture, energy conservation, 35Q31, 35Q30, 35L65, 76N10
Rui Han, Wilhelm Schlag
Anal. PDE 13 (3), 813-863, (2020) DOI: 10.2140/apde.2020.13.813
KEYWORDS: uncertainty principle, fractal sets, subharmonic functions, Cartan estimates, Beurling–Malliavin theorem, 32U15, 42B30
Dorin Bucur, Ilaria Fragalà, Alessandro Giacomini
Anal. PDE 13 (3), 865-899, (2020) DOI: 10.2140/apde.2020.13.865
KEYWORDS: local minimality, monotonicity formulas, free discontinuity functionals, 35R35, 35A16, 28A75, 35J25, 35Q74, 49J45, 94A08
Simon Blatt
Anal. PDE 13 (3), 901-941, (2020) DOI: 10.2140/apde.2020.13.901
KEYWORDS: Möbius energy, geometric evolution equations, Gradient flow, long-time existence, 53C44, 35S10
Correction
David A. Sher
Anal. PDE 13 (3), 943-944, (2020) DOI: 10.2140/apde.2020.13.943
KEYWORDS: heat kernel, geometric microlocal analysis, asymptotically conic manifolds, 58J05, 58J35, 58J52
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