VOL. 2 · NO. 1 | 2020
 
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Articles
Hans Knüpfer, Cyrill B. Muratov, Matteo Novaga
Pure Appl. Anal. 2 (1), 1-21, (2020) DOI: 10.2140/paa.2020.2.1
KEYWORDS: energy driven pattern formation, Gamma convergence, 34A34, 35A15, 35J50, 49Q20, 51P05
Wolfgang Arendt, Daniel Hauer
Pure Appl. Anal. 2 (1), 23-34, (2020) DOI: 10.2140/paa.2020.2.23
KEYWORDS: nonlinear semigroups, subdifferential, Schaefer's fixed point theorem, existence, Smoothing effect, perturbation, compact sublevel sets, 35K92, 35K58, 47H20, 47H10
Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
Pure Appl. Anal. 2 (1), 35-73, (2020) DOI: 10.2140/paa.2020.2.35
KEYWORDS: Schrödinger operators, statistical mechanics, density functional theory, uniform electron gas, 35Q40, 81V55, 82B10
Robert Kesler, Michael T. Lacey, Darío Mena
Pure Appl. Anal. 2 (1), 75-92, (2020) DOI: 10.2140/paa.2020.2.75
KEYWORDS: sparse bounds, spherical averages, Discrete, spherical maximal function, 11K70, 42B25
Emmanuel Trélat, Gengsheng Wang, Yashan Xu
Pure Appl. Anal. 2 (1), 93-122, (2020) DOI: 10.2140/paa.2020.2.93
KEYWORDS: observability inequality, stabilizability, Controllability, 93B05, 93B07, 93C20
Piotr B. Mucha, Tomasz Piasecki
Pure Appl. Anal. 2 (1), 123-155, (2020) DOI: 10.2140/paa.2020.2.123
KEYWORDS: compressible Navier–Stokes equations, slip boundary condition, inflow boundary condition, strong solutions, 35Q30, 76N10
Jeffrey Galkowski, Euan A. Spence, Jared Wunsch
Pure Appl. Anal. 2 (1), 157-202, (2020) DOI: 10.2140/paa.2020.2.157
KEYWORDS: resolvent, Helmholtz equation, nontrapping, variable wave speed, finite element method, 35J05, 35P25, 65N30
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