Pure and Applied Analysis Short Title: Pure Appl. Anal. Publisher: Mathematical Sciences Publishers (MSP), Berkeley, CA ISSN: 2578-5893; 2578-5885/e Online: https://msp.org/paa Comments: Journal; Indexed cover-to-cover Documents Indexed: 120 Publications (since 2019) References Indexed: 120 Publications with 4,017 References. all top 5 Latest Issues 6, No. 1 (2024) 5, No. 4 (2023) 5, No. 3 (2023) 5, No. 2 (2023) 5, No. 1 (2023) 4, No. 4 (2022) 4, No. 3 (2022) 4, No. 2 (2022) 4, No. 1 (2022) 3, No. 4 (2021) 3, No. 3 (2021) 3, No. 2 (2021) 3, No. 1 (2021) 2, No. 4 (2020) 2, No. 3 (2020) 2, No. 2 (2020) 2, No. 1 (2020) 1, No. 4 (2019) 1, No. 3 (2019) 1, No. 2 (2019) 1, No. 1 (2019) all top 5 Authors 3 Marzuola, Jeremy Louis 3 Seiringer, Robert 2 Canzani, Yaiza 2 Chen, Gong 2 Galkowski, Jeffrey 2 Lieb, Elliott Hershel 2 Mitrouskas, David 2 Spence, Euan A. 2 Uhlmann, Gunther Alberto 2 Vasy, András 2 Velázquez, Juan J. L. 2 Vodev, Georgi 2 Wang, Yiran 2 Wu, Hau-Tieng 1 Albano, Paolo 1 Almog, Yaniv 1 Andersson, Fredrik K. 1 Aoki, Kazuki 1 Arendt, Wolfgang 1 Arnaiz, Víctor 1 Arsénio, Diogo 1 Barbaroux, Jean-Marie 1 Barnett, Alex H. 1 Baskin, Dean 1 Beceanu, Marius 1 Beck, Thomas L. 1 Ben-Artzi, Jonathan 1 Benhellal, Badreddine 1 Berkolaiko, Gregory 1 Boccardo, Lucio 1 Boßmann, Lea 1 Bouin, Emeric 1 Briant, Marc 1 Bru, Jean-Bernard 1 Bungert, Leon 1 Burger, Martin 1 Burq, Nicolas 1 Burtea, Cosmin 1 Cacciafesta, Federico 1 Cao, Lingling 1 Carlen, Eric Anders 1 Carrapatoso, Kleber 1 Cazalis, Jean 1 Cekić, Mihajlo 1 Charve, Frédéric 1 Chen, Yuanlong 1 Chen, Ziyu 1 Christiansen, Tanya J. 1 Cipolloni, Giorgio 1 Coburn, Lewis A. 1 Cornilleau, Pierre-Emmanuel 1 Cox, Graham 1 Crin-Barat, Timothée 1 Danchin, Raphaël 1 Datchev, Kiril R. 1 de Hoop, Maarten V. 1 Debussche, Arnaud 1 Deleporte, Alix 1 Dereziński, Jan 1 di Plinio, Francesco 1 Dipierro, Serena 1 Dolbeault, Jean 1 Drouot, Alexis 1 Duchêne, Vincent 1 Dyatlov, Semyon 1 Epstein, Charles Lawrence 1 Eptaminitakis, Nikolas 1 Erdős, László 1 Evans, Josephine A. 1 Fermanian-Kammerer, Clotilde 1 Fliss, Sonia 1 Frank, Rupert L. 1 Gajic, Dejan 1 Gamble, Stephanie 1 Gao, Yuan 1 Gassot, Louise 1 Gerard, Patrick 1 Gervais, Pierre 1 Glass, Olivier 1 Green, Walton 1 Greengard, Leslie F. 1 Griffin, Jory 1 Hansen, Sönke 1 Hari, Lysianne 1 Hartmann, Luiz 1 Haspot, Boris 1 Hassell, Andrew 1 Hauer, Daniel 1 Helffer, Bernard 1 Hintz, Peter 1 Hitrik, Michael 1 Höfer, Richard M. 1 Hoskins, Jeremy G. 1 Hunter, John K. 1 Ilmavirta, Joonas 1 Ingremeau, Maxime 1 Inui, Takahisa 1 Jang, Jin Woo 1 Jauslin, Ian 1 Jeong, Seonghyeon ...and 148 more Authors all top 5 Fields 101 Partial differential equations (35-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Global analysis, analysis on manifolds (58-XX) 16 Fluid mechanics (76-XX) 16 Quantum theory (81-XX) 15 Operator theory (47-XX) 10 Numerical analysis (65-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Differential geometry (53-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of particles and systems (70-XX) 4 Systems theory; control (93-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 3 Biology and other natural sciences (92-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 419 times in 387 Documents Cited by ▼ Year ▼ Hypocoercivity without confinement. Zbl 1448.82035 Bouin, Emeric; Dolbeault, Jean; Mischler, Stéphane; Mouhot, Clément; Schmeiser, Christian 26 2020 The local density approximation in density functional theory. Zbl 1435.35320 Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert 23 2020 Optimal constants in nontrapping resolvent estimates and applications in numerical analysis. Zbl 1439.35142 Galkowski, Jeffrey; Spence, Euan A.; Wunsch, Jared 19 2020 An evolution equation approach to the Klein-Gordon operator on curved spacetime. Zbl 1423.58016 Dereziński, Jan; Siemssen, Daniel 18 2019 Microlocal analysis of forced waves. Zbl 1426.35013 Dyatlov, Semyon; Zworski, Maciej 17 2019 Cusp universality for random matrices. II: The real symmetric case. Zbl 1476.60012 Cipolloni, Giorgio; Erdős, László; Krüger, Torben; Schröder, Dominik 16 2019 Characterization by observability inequalities of controllability and stabilization properties. Zbl 1431.93011 Trélat, Emmanuel; Wang, Gengsheng; Xu, Yashan 15 2020 Characterization of edge states in perturbed honeycomb structures. Zbl 1423.35275 Drouot, Alexis 12 2019 About small eigenvalues of the Witten Laplacian. Zbl 1447.35236 Michel, Laurent 12 2019 Semiclassical resolvent estimates for short-range \(L^\infty\) potentials. Zbl 1471.35068 Vodev, Georgi 11 2019 The interior of dynamical extremal black holes in spherical symmetry. Zbl 1420.35403 Gajic, Dejan; Luk, Jonathan 11 2019 Semiclassical resolvent estimates for bounded potentials. Zbl 1421.35065 Klopp, Frédéric; Vogel, Martin 10 2019 Partially dissipative one-dimensional hyperbolic systems in the critical regularity setting, and applications. Zbl 1489.35193 Crin-Barat, Timothée; Danchin, Raphaël 10 2022 The hyperbolic Yang-Mills equation in the caloric gauge: local well-posedness and control of energy-dispersed solutions. Zbl 1446.35150 Oh, Sung-Jin; Tataru, Daniel 10 2020 Positivity, complex FIOs, and Toeplitz operators. Zbl 1429.32047 Coburn, Lewis A.; Hitrik, Michael; Sjöstrand, Johannes 9 2019 Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070 Burq, Nicolas; Gérard, Patrick 9 2020 Growth of Sobolev norms for coupled lowest Landau level equations. Zbl 1472.35363 Schwinte, Valentin; Thomann, Laurent 8 2021 Beyond Bogoliubov dynamics. Zbl 1496.35332 Boßmann, Lea; Petrat, Sören; Pickl, Peter; Soffer, Avy 8 2021 A Lorentzian analog for Hausdorff dimension and measure. Zbl 1505.28008 McCann, Robert J.; Sämann, Clemens 7 2022 On geometric and analytic mixing scales: comparability and convergence rates for transport problems. Zbl 1427.76085 Zillinger, Christian 6 2019 Sparse bounds for the discrete spherical maximal functions. Zbl 1460.42027 Kesler, Robert; Lacey, Michael T.; Mena, Darío 6 2020 The quantum Sabine law for resonances in transmission problems. Zbl 1407.35149 Galkowski, Jeffrey 6 2019 The Kähler geometry of certain optimal transport problems. Zbl 1446.49034 Khan, Gabriel; Zhang, Jun 6 2020 Inverse scattering for critical semilinear wave equations. Zbl 1500.35220 Sá Barreto, Antônio; Uhlmann, Gunther; Wang, Yiran 6 2022 The transmission problem in linear isotropic elasticity. Zbl 1467.35017 Stefanov, Plamen; Uhlmann, Gunther; Vasy, András 6 2021 A foliated and reversible Finsler manifold is determined by its broken scattering relation. Zbl 1480.53086 de Hoop, Maarten V.; Ilmavirta, Joonas; Lassas, Matti; Saksala, Teemu 6 2021 Local Hölder regularity of solutions to generated Jacobian equations. Zbl 1467.35149 Jeong, Seonghyeon 5 2021 Regular sets and an \(\varepsilon \)-regularity theorem in terms of initial data for the Navier-Stokes equations. Zbl 1487.35295 Kang, Kyungkeun; Miura, Hideyuki; Tsai, Tai-Peng 5 2021 Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Zbl 1491.35362 Leopold, Nikolai; Mitrouskas, David; Rademacher, Simone; Schlein, Benjamin; Seiringer, Robert 5 2021 Connecting dots: from local covariance to empirical intrinsic geometry and locally linear embedding. Zbl 1433.62142 Malik, John; Shen, Chao; Wu, Hau-Tieng; Wu, Nan 4 2019 Emergence of nontrivial minimizers for the three-dimensional Ohta-Kawasaki energy. Zbl 1432.49064 Knüpfer, Hans; Muratov, Cyrill B.; Novaga, Matteo 4 2020 Convergence error estimates at low regularity for time discretizations of KdV. Zbl 1492.65257 Rousset, Frédéric; Schratz, Katharina 4 2022 Semiclassical resolvent estimates for Hölder potentials. Zbl 1471.35108 Vodev, Georgi 4 2020 A free boundary problem driven by the biharmonic operator. Zbl 1469.31007 Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico 4 2020 Analysis of a simple equation for the ground state energy of the Bose gas. Zbl 1465.35345 Carlen, Eric A.; Jauslin, Ian; Lieb, Elliott H. 4 2020 Structural analysis of an \(L\)-infinity variational problem and relations to distance functions. Zbl 1462.35226 Bungert, Leon; Korolev, Yury; Burger, Martin 4 2020 On quasilinear Maxwell equations in two dimensions. Zbl 1508.35177 Schippa, Robert; Schnaubelt, Roland 4 2022 Global solutions of a surface quasigeostrophic front equation. Zbl 1486.35346 Hunter, John K.; Shu, Jingyang; Zhang, Qingtian 4 2021 Multidimensional nonlinear geometric optics for transport operators with applications to stable shock formation. Zbl 1426.35159 Speck, Jared 3 2019 Scattering resonances on truncated cones. Zbl 1447.58029 Baskin, Dean; Yang, Mengxuan 3 2020 Enhanced convergence rates and asymptotics for a dispersive Boussinesq-type system with large ill-prepared data. Zbl 1446.35120 Charve, Frédéric 3 2020 \(L^p\) estimates for Baouendi-Grushin operators. Zbl 1462.35105 Metafune, Giorgio; Negro, Luigi; Spina, Chiara 3 2020 Optimal stability estimates and a new uniqueness result for advection-diffusion equations. Zbl 1504.35096 Navarro-Fernández, Víctor; Schlichting, André; Seis, Christian 3 2022 Quantitative bounds on impedance-to-impedance operators with applications to fast direct solvers for PDEs. Zbl 1500.35103 Beck, Thomas; Canzani, Yaiza; Marzuola, Jeremy Louis 3 2022 Analysis of a fourth-order exponential PDE arising from a crystal surface jump process with metropolis-type transition rates. Zbl 1489.35270 Gao, Yuan; Katsevich, Anya E.; Liu, Jian-Guo; Lu, Jianfeng; Marzuola, Jeremy L. 3 2021 Sharp Weyl laws with singular potentials. Zbl 1514.35300 Frank, Rupert L.; Sabin, Julien 3 2023 An energy method for averaging lemmas. Zbl 1478.35062 Arsénio, Diogo; Lerner, Nicolas 2 2021 Wave equation on certain noncompact symmetric spaces. Zbl 1492.35068 Zhang, Hong-Wei 2 2021 Quantum transport in a low-density periodic potential: homogenisation via homogeneous flows. Zbl 1433.82011 Griffin, Jory; Marklof, Jens 2 2019 Explicit unconditionally stable methods for the heat equation via potential theory. Zbl 1427.65416 Barnett, Alex; Epstein, Charles L.; Greengard, Leslie; Jiang, Shidong; Wang, Jun 2 2019 Maximal \(L^2\)-regularity in nonlinear gradient systems and perturbations of sublinear growth. Zbl 1430.35149 Arendt, Wolfgang; Hauer, Daniel 2 2020 Dispersive estimates for the wave equation on Riemannian manifolds of bounded curvature. Zbl 1410.58011 Chen, Yuanlong; Smith, Hart F. 2 2019 Derivation of the viscoelastic stress in Stokes flows induced by nonspherical Brownian rigid particles through homogenization. Zbl 1519.76275 Höfer, Richard M.; Leocata, Marta; Mecherbet, Amina 2 2023 Semiclassical asymptotics for nonselfadjoint harmonic oscillators. Zbl 1445.35269 Arnaiz, Víctor; Rivière, Gabriel 2 2020 Resonances and viscosity limit for the Wigner-von Neumann-type Hamiltonian. Zbl 1471.35106 Kameoka, Kentaro; Nakamura, Shu 2 2020 Symplectic nonsqueezing for the KdV flow on the line. Zbl 1504.35453 Ntekoume, Maria 2 2022 Existence of a nonequilibrium steady state for the nonlinear BGK equation on an interval. Zbl 1472.35265 Evans, Josephine; Menegaki, Angeliki 2 2021 Navier-Stokes regularity criteria in sum spaces. Zbl 1487.35301 Miller, Evan 2 2021 Remote trajectory tracking of rigid bodies immersed in a two-dimensional perfect incompressible fluid. Zbl 1483.76018 Glass, Olivier; Kolumbán, József J.; Sueur, Franck 2 2021 Geodesic biangles and Fourier coefficients of restrictions of eigenfunctions. Zbl 1509.35400 Wyman, Emmett L.; Xi, Yakun; Zelditch, Steve 2 2022 Streak artifacts from nonconvex metal objects in X-ray tomography. Zbl 1487.44002 Wang, Yiran; Zou, Yuzhou 1 2021 Exact control for the Schrödinger equation on the torus from small balls. Zbl 1477.35208 Tao, Zhongkai 1 2021 Stationary compressible Navier-Stokes equations with inflow condition in domains with piecewise analytical boundaries. Zbl 1435.35282 Mucha, Piotr B.; Piasecki, Tomasz 1 2020 Ill-posedness of a quasilinear wave equation in two dimensions for data in \(H^{7/4}\). Zbl 1527.35486 Ohlmann, Gaspard 1 2023 The Alexandroff-Bakelman-Pucci estimate via positive drift. Zbl 1520.35024 Vitolo, Antonio 1 2023 Unconditional uniqueness for the Benjamin-Ono equation. Zbl 1518.35012 Moşincat, Răzvan; Pilod, Didier 1 2023 Joint asymptotic expansions for Bessel functions. Zbl 07714113 Sher, David A. 1 2023 \(L^p\) and \(\mathcal{H}_{FIO}^p\) regularity for wave equations with rough coefficients. Zbl 1522.35130 Hassell, Andrew; Rozendaal, Jan 1 2023 Dispersive estimates, blow-up and failure of Strichartz estimates for the Schrödinger equation with slowly decaying initial data. Zbl 1469.35184 Mandel, Rainer 1 2020 Radially symmetric traveling waves for the Schrödinger equation on the Heisenberg group. Zbl 1462.35427 Gassot, Louise 1 2020 Resonant spaces for volume-preserving Anosov flows. Zbl 1467.37031 Cekić, Mihajlo; Paternain, Gabriel P. 1 2020 Quantum fluctuations and large-deviation principle for microscopic currents of free fermions in disordered media. Zbl 1472.60050 Bru, Jean-Bernard; de Siqueira Pedra, Walter; Ratsimanetrimanana, Antsa 1 2020 Optimal transport and barycenters for dendritic measures. Zbl 1461.49058 Kim, Young-Heon; Pass, Brendan; Schneider, David J. 1 2020 A maximum principle for a fourth-order Dirichlet problem on smooth domains. Zbl 1467.35074 Schnieders, Inka; Sweers, Guido 1 2020 Stability estimates for the X-ray transform on simple asymptotically hyperbolic manifolds. Zbl 07632786 Eptaminitakis, Nikolas 1 2022 Existence of weak solutions for some elliptic systems. Zbl 1505.35136 Boccardo, Lucio; Orsina, Luigi 1 2022 A local test for global extrema in the dispersion relation of a periodic graph. Zbl 1505.35312 Berkolaiko, Gregory; Canzani, Yaiza; Cox, Graham; Marzuola, Jeremy Louis 1 2022 Asymptotic behavior for the long-range nonlinear Schrödinger equation on the star graph with the Kirchhoff boundary condition. Zbl 1501.35361 Aoki, Kazuki; Inui, Takahisa; Miyazaki, Hayato; Mizutani, Haruya; Uriya, Kota 1 2022 Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces. Zbl 1475.58023 Vasy, András 1 2021 Resolvent trace asymptotics on stratified spaces. Zbl 1467.35167 Hartmann, Luiz; Lesch, Matthias; Vertman, Boris 1 2021 On the analytic singular support for the solutions of a class of degenerate elliptic operators. Zbl 1484.35158 Albano, Paolo; Mughetti, Marco 1 2021 A Dirichlet-to-Neumann approach to the mathematical and numerical analysis in waveguides with periodic outlets at infinity. Zbl 1485.35126 Fliss, Sonia; Joly, Patrick; Lescarret, Vincent 1 2021 Strichartz estimates for the Klein-Gordon equation in \(\mathbb{R}^{3+1}\). Zbl 1515.81086 Beceanu, Marius; Chen, Gong 1 2022 Sharp Weyl laws with singular potentials. Zbl 1514.35300 Frank, Rupert L.; Sabin, Julien 3 2023 Derivation of the viscoelastic stress in Stokes flows induced by nonspherical Brownian rigid particles through homogenization. Zbl 1519.76275 Höfer, Richard M.; Leocata, Marta; Mecherbet, Amina 2 2023 Ill-posedness of a quasilinear wave equation in two dimensions for data in \(H^{7/4}\). Zbl 1527.35486 Ohlmann, Gaspard 1 2023 The Alexandroff-Bakelman-Pucci estimate via positive drift. Zbl 1520.35024 Vitolo, Antonio 1 2023 Unconditional uniqueness for the Benjamin-Ono equation. Zbl 1518.35012 Moşincat, Răzvan; Pilod, Didier 1 2023 Joint asymptotic expansions for Bessel functions. Zbl 07714113 Sher, David A. 1 2023 \(L^p\) and \(\mathcal{H}_{FIO}^p\) regularity for wave equations with rough coefficients. Zbl 1522.35130 Hassell, Andrew; Rozendaal, Jan 1 2023 Partially dissipative one-dimensional hyperbolic systems in the critical regularity setting, and applications. Zbl 1489.35193 Crin-Barat, Timothée; Danchin, Raphaël 10 2022 A Lorentzian analog for Hausdorff dimension and measure. Zbl 1505.28008 McCann, Robert J.; Sämann, Clemens 7 2022 Inverse scattering for critical semilinear wave equations. Zbl 1500.35220 Sá Barreto, Antônio; Uhlmann, Gunther; Wang, Yiran 6 2022 Convergence error estimates at low regularity for time discretizations of KdV. Zbl 1492.65257 Rousset, Frédéric; Schratz, Katharina 4 2022 On quasilinear Maxwell equations in two dimensions. Zbl 1508.35177 Schippa, Robert; Schnaubelt, Roland 4 2022 Optimal stability estimates and a new uniqueness result for advection-diffusion equations. Zbl 1504.35096 Navarro-Fernández, Víctor; Schlichting, André; Seis, Christian 3 2022 Quantitative bounds on impedance-to-impedance operators with applications to fast direct solvers for PDEs. Zbl 1500.35103 Beck, Thomas; Canzani, Yaiza; Marzuola, Jeremy Louis 3 2022 Symplectic nonsqueezing for the KdV flow on the line. Zbl 1504.35453 Ntekoume, Maria 2 2022 Geodesic biangles and Fourier coefficients of restrictions of eigenfunctions. Zbl 1509.35400 Wyman, Emmett L.; Xi, Yakun; Zelditch, Steve 2 2022 Stability estimates for the X-ray transform on simple asymptotically hyperbolic manifolds. Zbl 07632786 Eptaminitakis, Nikolas 1 2022 Existence of weak solutions for some elliptic systems. Zbl 1505.35136 Boccardo, Lucio; Orsina, Luigi 1 2022 A local test for global extrema in the dispersion relation of a periodic graph. Zbl 1505.35312 Berkolaiko, Gregory; Canzani, Yaiza; Cox, Graham; Marzuola, Jeremy Louis 1 2022 Asymptotic behavior for the long-range nonlinear Schrödinger equation on the star graph with the Kirchhoff boundary condition. Zbl 1501.35361 Aoki, Kazuki; Inui, Takahisa; Miyazaki, Hayato; Mizutani, Haruya; Uriya, Kota 1 2022 Strichartz estimates for the Klein-Gordon equation in \(\mathbb{R}^{3+1}\). Zbl 1515.81086 Beceanu, Marius; Chen, Gong 1 2022 Growth of Sobolev norms for coupled lowest Landau level equations. Zbl 1472.35363 Schwinte, Valentin; Thomann, Laurent 8 2021 Beyond Bogoliubov dynamics. Zbl 1496.35332 Boßmann, Lea; Petrat, Sören; Pickl, Peter; Soffer, Avy 8 2021 The transmission problem in linear isotropic elasticity. Zbl 1467.35017 Stefanov, Plamen; Uhlmann, Gunther; Vasy, András 6 2021 A foliated and reversible Finsler manifold is determined by its broken scattering relation. Zbl 1480.53086 de Hoop, Maarten V.; Ilmavirta, Joonas; Lassas, Matti; Saksala, Teemu 6 2021 Local Hölder regularity of solutions to generated Jacobian equations. Zbl 1467.35149 Jeong, Seonghyeon 5 2021 Regular sets and an \(\varepsilon \)-regularity theorem in terms of initial data for the Navier-Stokes equations. Zbl 1487.35295 Kang, Kyungkeun; Miura, Hideyuki; Tsai, Tai-Peng 5 2021 Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Zbl 1491.35362 Leopold, Nikolai; Mitrouskas, David; Rademacher, Simone; Schlein, Benjamin; Seiringer, Robert 5 2021 Global solutions of a surface quasigeostrophic front equation. Zbl 1486.35346 Hunter, John K.; Shu, Jingyang; Zhang, Qingtian 4 2021 Analysis of a fourth-order exponential PDE arising from a crystal surface jump process with metropolis-type transition rates. Zbl 1489.35270 Gao, Yuan; Katsevich, Anya E.; Liu, Jian-Guo; Lu, Jianfeng; Marzuola, Jeremy L. 3 2021 An energy method for averaging lemmas. Zbl 1478.35062 Arsénio, Diogo; Lerner, Nicolas 2 2021 Wave equation on certain noncompact symmetric spaces. Zbl 1492.35068 Zhang, Hong-Wei 2 2021 Existence of a nonequilibrium steady state for the nonlinear BGK equation on an interval. Zbl 1472.35265 Evans, Josephine; Menegaki, Angeliki 2 2021 Navier-Stokes regularity criteria in sum spaces. Zbl 1487.35301 Miller, Evan 2 2021 Remote trajectory tracking of rigid bodies immersed in a two-dimensional perfect incompressible fluid. Zbl 1483.76018 Glass, Olivier; Kolumbán, József J.; Sueur, Franck 2 2021 Streak artifacts from nonconvex metal objects in X-ray tomography. Zbl 1487.44002 Wang, Yiran; Zou, Yuzhou 1 2021 Exact control for the Schrödinger equation on the torus from small balls. Zbl 1477.35208 Tao, Zhongkai 1 2021 Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces. Zbl 1475.58023 Vasy, András 1 2021 Resolvent trace asymptotics on stratified spaces. Zbl 1467.35167 Hartmann, Luiz; Lesch, Matthias; Vertman, Boris 1 2021 On the analytic singular support for the solutions of a class of degenerate elliptic operators. Zbl 1484.35158 Albano, Paolo; Mughetti, Marco 1 2021 A Dirichlet-to-Neumann approach to the mathematical and numerical analysis in waveguides with periodic outlets at infinity. Zbl 1485.35126 Fliss, Sonia; Joly, Patrick; Lescarret, Vincent 1 2021 Hypocoercivity without confinement. Zbl 1448.82035 Bouin, Emeric; Dolbeault, Jean; Mischler, Stéphane; Mouhot, Clément; Schmeiser, Christian 26 2020 The local density approximation in density functional theory. Zbl 1435.35320 Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert 23 2020 Optimal constants in nontrapping resolvent estimates and applications in numerical analysis. Zbl 1439.35142 Galkowski, Jeffrey; Spence, Euan A.; Wunsch, Jared 19 2020 Characterization by observability inequalities of controllability and stabilization properties. Zbl 1431.93011 Trélat, Emmanuel; Wang, Gengsheng; Xu, Yashan 15 2020 The hyperbolic Yang-Mills equation in the caloric gauge: local well-posedness and control of energy-dispersed solutions. Zbl 1446.35150 Oh, Sung-Jin; Tataru, Daniel 10 2020 Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070 Burq, Nicolas; Gérard, Patrick 9 2020 Sparse bounds for the discrete spherical maximal functions. Zbl 1460.42027 Kesler, Robert; Lacey, Michael T.; Mena, Darío 6 2020 The Kähler geometry of certain optimal transport problems. Zbl 1446.49034 Khan, Gabriel; Zhang, Jun 6 2020 Emergence of nontrivial minimizers for the three-dimensional Ohta-Kawasaki energy. Zbl 1432.49064 Knüpfer, Hans; Muratov, Cyrill B.; Novaga, Matteo 4 2020 Semiclassical resolvent estimates for Hölder potentials. Zbl 1471.35108 Vodev, Georgi 4 2020 A free boundary problem driven by the biharmonic operator. Zbl 1469.31007 Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico 4 2020 Analysis of a simple equation for the ground state energy of the Bose gas. Zbl 1465.35345 Carlen, Eric A.; Jauslin, Ian; Lieb, Elliott H. 4 2020 Structural analysis of an \(L\)-infinity variational problem and relations to distance functions. Zbl 1462.35226 Bungert, Leon; Korolev, Yury; Burger, Martin 4 2020 Scattering resonances on truncated cones. Zbl 1447.58029 Baskin, Dean; Yang, Mengxuan 3 2020 Enhanced convergence rates and asymptotics for a dispersive Boussinesq-type system with large ill-prepared data. Zbl 1446.35120 Charve, Frédéric 3 2020 \(L^p\) estimates for Baouendi-Grushin operators. Zbl 1462.35105 Metafune, Giorgio; Negro, Luigi; Spina, Chiara 3 2020 Maximal \(L^2\)-regularity in nonlinear gradient systems and perturbations of sublinear growth. Zbl 1430.35149 Arendt, Wolfgang; Hauer, Daniel 2 2020 Semiclassical asymptotics for nonselfadjoint harmonic oscillators. Zbl 1445.35269 Arnaiz, Víctor; Rivière, Gabriel 2 2020 Resonances and viscosity limit for the Wigner-von Neumann-type Hamiltonian. Zbl 1471.35106 Kameoka, Kentaro; Nakamura, Shu 2 2020 Stationary compressible Navier-Stokes equations with inflow condition in domains with piecewise analytical boundaries. Zbl 1435.35282 Mucha, Piotr B.; Piasecki, Tomasz 1 2020 Dispersive estimates, blow-up and failure of Strichartz estimates for the Schrödinger equation with slowly decaying initial data. Zbl 1469.35184 Mandel, Rainer 1 2020 Radially symmetric traveling waves for the Schrödinger equation on the Heisenberg group. Zbl 1462.35427 Gassot, Louise 1 2020 Resonant spaces for volume-preserving Anosov flows. Zbl 1467.37031 Cekić, Mihajlo; Paternain, Gabriel P. 1 2020 Quantum fluctuations and large-deviation principle for microscopic currents of free fermions in disordered media. Zbl 1472.60050 Bru, Jean-Bernard; de Siqueira Pedra, Walter; Ratsimanetrimanana, Antsa 1 2020 Optimal transport and barycenters for dendritic measures. Zbl 1461.49058 Kim, Young-Heon; Pass, Brendan; Schneider, David J. 1 2020 A maximum principle for a fourth-order Dirichlet problem on smooth domains. Zbl 1467.35074 Schnieders, Inka; Sweers, Guido 1 2020 An evolution equation approach to the Klein-Gordon operator on curved spacetime. Zbl 1423.58016 Dereziński, Jan; Siemssen, Daniel 18 2019 Microlocal analysis of forced waves. Zbl 1426.35013 Dyatlov, Semyon; Zworski, Maciej 17 2019 Cusp universality for random matrices. II: The real symmetric case. Zbl 1476.60012 Cipolloni, Giorgio; Erdős, László; Krüger, Torben; Schröder, Dominik 16 2019 Characterization of edge states in perturbed honeycomb structures. Zbl 1423.35275 Drouot, Alexis 12 2019 About small eigenvalues of the Witten Laplacian. Zbl 1447.35236 Michel, Laurent 12 2019 Semiclassical resolvent estimates for short-range \(L^\infty\) potentials. Zbl 1471.35068 Vodev, Georgi 11 2019 The interior of dynamical extremal black holes in spherical symmetry. Zbl 1420.35403 Gajic, Dejan; Luk, Jonathan 11 2019 Semiclassical resolvent estimates for bounded potentials. Zbl 1421.35065 Klopp, Frédéric; Vogel, Martin 10 2019 Positivity, complex FIOs, and Toeplitz operators. Zbl 1429.32047 Coburn, Lewis A.; Hitrik, Michael; Sjöstrand, Johannes 9 2019 On geometric and analytic mixing scales: comparability and convergence rates for transport problems. Zbl 1427.76085 Zillinger, Christian 6 2019 The quantum Sabine law for resonances in transmission problems. Zbl 1407.35149 Galkowski, Jeffrey 6 2019 Connecting dots: from local covariance to empirical intrinsic geometry and locally linear embedding. Zbl 1433.62142 Malik, John; Shen, Chao; Wu, Hau-Tieng; Wu, Nan 4 2019 Multidimensional nonlinear geometric optics for transport operators with applications to stable shock formation. Zbl 1426.35159 Speck, Jared 3 2019 Quantum transport in a low-density periodic potential: homogenisation via homogeneous flows. Zbl 1433.82011 Griffin, Jory; Marklof, Jens 2 2019 Explicit unconditionally stable methods for the heat equation via potential theory. Zbl 1427.65416 Barnett, Alex; Epstein, Charles L.; Greengard, Leslie; Jiang, Shidong; Wang, Jun 2 2019 Dispersive estimates for the wave equation on Riemannian manifolds of bounded curvature. Zbl 1410.58011 Chen, Yuanlong; Smith, Hart F. 2 2019 all cited Publications top 5 cited Publications all top 5 Cited by 540 Authors 17 Spence, Euan A. 9 Galkowski, Jeffrey 8 Erdős, László 7 Dolbeault, Jean 7 Lafontaine, David 7 Vodev, Georgi 6 Crin-Barat, Timothée 6 Drouot, Alexis 6 Schröder, Dominik 6 Wunsch, Jared 5 Schmeiser, Christian 5 Seiringer, Robert 5 Wang, Gengsheng 4 Bungert, Leon 4 Carlen, Eric Anders 4 Cipolloni, Giorgio 4 Datchev, Kiril R. 4 Krüger, Torben 4 Le Peutrec, Dorian 4 Lewin, Mathieu 4 Lu, Jianfeng 4 Much, Albert 4 Nectoux, Boris 4 Taira, Kouichi 4 Tataru, Daniel 4 Weinstein, Michael I. 4 Yu, Huaiqiang 3 Arnold, Anton 3 Bonicatto, Paolo 3 Bouin, Emeric 3 Burq, Nicolas 3 Crippa, Gianluca 3 Danchin, Raphaël 3 de Hoop, Maarten V. 3 Fefferman, Charles Louis 3 Finster, Felix 3 Gajic, Dejan 3 Han, Rui 3 Hitrik, Michael 3 Ilmavirta, Joonas 3 Jabin, Pierre-Emmanuel 3 Khan, Gabriel J. H. 3 Lacey, Michael T. 3 Leopold, Nikolai 3 Liang, Zhenguo 3 Marzuola, Jeremy Louis 3 Mitrouskas, David 3 Murphy, Jason 3 Oh, Sung-Jin 3 Rankin, Cale 3 Saksala, Teemu 3 Schippa, Robert 3 Shapiro, Jacob 3 Shou, Lingyun 3 Sjöstrand, Johannes 3 Speck, Jared 3 Sun, Baoyan 3 Uhlmann, Gunther Alberto 3 Vasy, András 3 Visan, Monica 3 Watson, Alexander B. 3 Wrochna, Michał 3 Yang, Fan 3 Zhang, Jun 2 Adhikari, Arka 2 Albritton, Dallas 2 Alphonse, Paul 2 Alt, Johannes 2 An, Xinliang 2 Angelopoulos, Yannis 2 Apolinário, Gabriel B. 2 Aretakis, Stefanos 2 Arnaiz, Víctor 2 Bal, Guillaume 2 Barker, Tobias 2 Basti, Giulia 2 Becker, Simon 2 Beran, Tobias 2 Bhattacharyya, Sombuddha 2 Bianchini, Roberta 2 Boßmann, Lea 2 Calvo, María Cabrera 2 Cenatiempo, Serena 2 Charve, Frédéric 2 Chaumont-Frelet, Théophile 2 Chevillard, Laurent 2 Ciampa, Gennaro 2 Costa, João Lopes 2 Craig, Katy 2 Dappiaggi, Claudio 2 Drago, Nicolò 2 Falconi, Marco 2 Favre, Gianluca 2 Frank, Rupert L. 2 Girão, Pedro Martins 2 Graham, Ivan G. 2 Griffin, Jory 2 Guillin, Arnaud 2 Huang, Shanlin 2 Huang, Xiaoqi ...and 440 more Authors all top 5 Cited in 132 Journals 28 Communications in Mathematical Physics 17 SIAM Journal on Mathematical Analysis 16 Annales Henri Poincaré 13 Journal of Functional Analysis 12 Journal of Mathematical Physics 11 Pure and Applied Analysis 9 Journal of Statistical Physics 8 Journal of Differential Equations 8 Journal of Spectral Theory 7 Probability Theory and Related Fields 7 Communications in Partial Differential Equations 6 Archive for Rational Mechanics and Analysis 6 Letters in Mathematical Physics 6 Advances in Mathematics 6 SIAM Journal on Control and Optimization 6 Oberwolfach Reports 6 Analysis & PDE 5 Journal of Mathematical Analysis and Applications 5 Numerische Mathematik 5 Proceedings of the American Mathematical Society 5 Asymptotic Analysis 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Calculus of Variations and Partial Differential Equations 5 Journal de l’École Polytechnique – Mathématiques 5 Séminaire Laurent Schwartz. EDP et Applications 4 Inventiones Mathematicae 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 SIAM Journal on Scientific Computing 4 Kinetic and Related Models 4 Mathematics in Engineering 4 Annales Henri Lebesgue 3 Communications on Pure and Applied Mathematics 3 General Relativity and Gravitation 3 Nonlinearity 3 Journal of Scientific Computing 3 SIAM/ASA Journal on Uncertainty Quantification 3 EMS Surveys in Mathematical Sciences 2 Reviews in Mathematical Physics 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 SIAM Journal on Numerical Analysis 2 The Journal of Geometric Analysis 2 SIAM Journal on Applied Mathematics 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Advances in Computational Mathematics 2 Electronic Journal of Probability 2 Discrete and Continuous Dynamical Systems 2 The Journal of Fourier Analysis and Applications 2 Journal of Mathematical Fluid Mechanics 2 Journal of Evolution Equations 2 Multiscale Modeling & Simulation 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Inverse Problems and Imaging 2 SIAM Journal on Imaging Sciences 2 Science China. Mathematics 2 GEM - International Journal on Geomathematics 2 Analysis and Mathematical Physics 2 Forum of Mathematics, Sigma 2 Information Geometry 2 Tunisian Journal of Mathematics 1 Classical and Quantum Gravity 1 Computers & Mathematics with Applications 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Applied Mathematics and Optimization 1 BIT 1 Canadian Mathematical Bulletin 1 Functional Analysis and its Applications 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Quaestiones Mathematicae 1 Quarterly of Applied Mathematics 1 Tokyo Journal of Mathematics 1 Systems & Control Letters 1 Numerical Methods for Partial Differential Equations 1 Journal of the American Mathematical Society 1 The Annals of Applied Probability 1 Differential Geometry and its Applications 1 Annals of Physics 1 Applied Mathematical Modelling 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Nonlinear Science 1 Applied and Computational Harmonic Analysis 1 Mathematical Methods of Statistics 1 St. Petersburg Mathematical Journal ...and 32 more Journals all top 5 Cited in 52 Fields 280 Partial differential equations (35-XX) 69 Quantum theory (81-XX) 66 Statistical mechanics, structure of matter (82-XX) 52 Fluid mechanics (76-XX) 51 Operator theory (47-XX) 45 Global analysis, analysis on manifolds (58-XX) 43 Numerical analysis (65-XX) 37 Probability theory and stochastic processes (60-XX) 26 Relativity and gravitational theory (83-XX) 24 Differential geometry (53-XX) 23 Systems theory; control (93-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Functional analysis (46-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Real functions (26-XX) 10 Optics, electromagnetic theory (78-XX) 9 Ordinary differential equations (34-XX) 9 Mechanics of deformable solids (74-XX) 7 Number theory (11-XX) 7 Approximations and expansions (41-XX) 7 Geophysics (86-XX) 6 General and overarching topics; collections (00-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Integral transforms, operational calculus (44-XX) 5 Statistics (62-XX) 5 Mechanics of particles and systems (70-XX) 4 Integral equations (45-XX) 4 Geometry (51-XX) 4 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 4 Biology and other natural sciences (92-XX) 3 Measure and integration (28-XX) 3 Manifolds and cell complexes (57-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year