VOL. 13 · NO. 2 | 2020
 
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Articles
Bartłomiej Dyda, Moritz Kassmann
Anal. PDE 13 (2), 317-370, (2020) DOI: 10.2140/apde.2020.13.317
KEYWORDS: nonlocal Dirichlet forms, Hölder regularity estimates, weak Harnack inequality, 31B05, 35B05, 35B45, 35R11, 47G20, 60J75
Dominic Breit, Eduard Feireisl, Martina Hofmanová
Anal. PDE 13 (2), 371-402, (2020) DOI: 10.2140/apde.2020.13.371
KEYWORDS: stochastic compressible Euler system, Weak solution, compressible Euler system, stochastic forcing, ill-posedness, convex integration, 35Q31, 35D30, 60H15
David Beltran, Jonathan Hickman, Christopher D. Sogge
Anal. PDE 13 (2), 403-433, (2020) DOI: 10.2140/apde.2020.13.403
KEYWORDS: local smoothing, variable coefficient, Fourier integral operators, Decoupling inequalities, 35S30, 35L05
Ngoc Cuong Nguyen
Anal. PDE 13 (2), 435-453, (2020) DOI: 10.2140/apde.2020.13.435
KEYWORDS: Dirichlet problem, weak solutions, Hölder continuous, Monge–Ampère, subsolution problem, 32U40, 35J96, 53C55
Tuhin Ghosh, Mikko Salo, Gunther Uhlmann
Anal. PDE 13 (2), 455-475, (2020) DOI: 10.2140/apde.2020.13.455
KEYWORDS: inverse problem, Calderón problem, fractional Laplacian, ‎approximation property‎‎, 26A33, 35J10, 35R30, 35J70
Gianmarco Brocchi, Diogo Oliveira e Silva, René Quilodrán
Anal. PDE 13 (2), 477-526, (2020) DOI: 10.2140/apde.2020.13.477
KEYWORDS: sharp Fourier restriction theory, extremizers, Strichartz inequalities, fractional Schrödinger equation, convolution of singular measures, 35B38, 35Q41, 42B37
Mariusz Mirek, Elias M. Stein, Pavel Zorin-Kranich
Anal. PDE 13 (2), 527-558, (2020) DOI: 10.2140/apde.2020.13.527
KEYWORDS: dimension-free estimate, jump inequality, 42B25, 42B20, 46B06
Dominic Breit, Lars Diening, Franz Gmeineder
Anal. PDE 13 (2), 559-594, (2020) DOI: 10.2140/apde.2020.13.559
KEYWORDS: Trace operator, functions of bounded $\mathbb{A}$-variation, linear growth functionals, 46E35, 26D10, 26B30, 46E30, 49J45
Clara Antonucci, Massimo Gobbino, Matteo Migliorini, Nicola Picenni
Anal. PDE 13 (2), 595-625, (2020) DOI: 10.2140/apde.2020.13.595
KEYWORDS: Gamma-convergence, Sobolev Spaces, bounded-variation functions, monotone rearrangement, nonlocal functional, nonconvex functional, 26B30, 46E35
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