Edit Profile (opens in new tab) Erdoğan, Mehmet Burak Co-Author Distance Author ID: erdogan.mehmet-burak Published as: Erdoğan, M. Burak; Erdoğan, M. B.; Erdoğan, Mehmet Burak; Erdoǧan, M. Burak; Erdoğan, Burak more...less Homepage: https://berdogan.web.illinois.edu/ Documents Indexed: 60 Publications since 1997, including 1 Book and 1 Additional arXiv Preprint Reviewing Activity: 12 Reviews Co-Authors: 28 Co-Authors with 54 Joint Publications 635 Co-Co-Authors all top 5 Co-Authors 6 single-authored 19 Green, William R. 17 Tzirakis, Nikolaos 9 Goldberg, Michael Joseph 5 Schlag, Wilhelm 5 Zharnitsky, Vadim 3 Gürel, T. Burak 3 Ostrovskiĭ, Iosif Vladimirovich 3 Toprak, Ebru 2 Christ, Michael 1 Barron, Alex 1 Chapman, Jeremy 1 Chousionis, Vasilis 1 Demirbas, Seckin 1 Ebru, Toprak 1 Harris, Terence L. J. 1 Hart, Derrick N. 1 Hundertmark, Dirk 1 Huynh, Chi N. Y. 1 Iosevich, Alex 1 Killip, Rowan 1 Koh, Doowon 1 Lee, Young-Ran 1 Marzuola, Jeremy Louis 1 McConnell, Ryan 1 Newhall, Katherine A. 1 Oberlin, Daniel M. 1 Oberlin, Richard 1 Shakan, George all top 5 Serials 5 Communications in Mathematical Physics 4 IMRN. International Mathematics Research Notices 3 Journal of Differential Equations 3 Journal of Functional Analysis 3 Transactions of the American Mathematical Society 3 Revista Matemática Iberoamericana 3 Mathematical Research Letters 2 Journal d’Analyse Mathématique 2 Mathematische Zeitschrift 2 Communications in Partial Differential Equations 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Advances in Mathematics 1 American Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Indiana University Mathematics Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Forum Mathematicum 1 Differential and Integral Equations 1 Journal of the Australian Mathematical Society. Series A 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Notices of the American Mathematical Society 1 Selecta Mathematica. New Series 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of the European Mathematical Society (JEMS) 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Dynamics of Partial Differential Equations 1 London Mathematical Society Student Texts 1 Analysis & PDE 1 Journal of Spectral Theory 1 Proceedings of the American Mathematical Society. Series B all top 5 Fields 44 Partial differential equations (35-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Quantum theory (81-XX) 9 Operator theory (47-XX) 7 Measure and integration (28-XX) 6 Probability theory and stochastic processes (60-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Integral transforms, operational calculus (44-XX) 2 Number theory (11-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 53 Publications have been cited 759 times in 445 Documents Cited by ▼ Year ▼ Pinned distance sets, \(k\)-simplices, Wolff’s exponent in finite fields and sum-product estimates. Zbl 1269.11011 Chapman, Jeremy; Erdoğan, M. Burak; Hart, Derrick; Iosevich, Alex; Koh, Doowon 59 2012 A bilinear Fourier extension theorem and applications to the distance set problem. Zbl 1129.42353 Erdoğan, M. Burak 56 2005 Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions. Zbl 1181.35208 Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm 44 2009 Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in \(\mathbb R^3\). Zbl 1152.35021 Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm 40 2008 Global smoothing for the periodic KdV evolution. Zbl 1295.35364 Erdoğan, Mehmet Burak; Tzirakis, Nikolaos 35 2013 Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. II. Zbl 1146.35324 Erdoğan, M. Burak; Schlag, Wilhelm 34 2006 Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. I. Zbl 1080.35102 Erdoğan, M. Burak; Schlag, Wilhelm 34 2004 Regularity properties of the cubic nonlinear Schrödinger equation on the half line. Zbl 1351.35180 Erdoğan, M. B.; Tzirakis, N. 34 2016 Talbot effect for the cubic non-linear Schröedinger equation on the torus. Zbl 1311.35279 Erdoğan, M. B.; Tzirakis, N. 33 2013 Dispersive partial differential equations. Wellposedness and applications. Zbl 1364.35004 Erdoǧan, M. Burak; Tzirakis, Nikolaos 30 2016 Dispersive estimates for Schrödinger operators in dimension two with obstructions at zero energy. Zbl 1282.35143 Erdoğan, M. Burak; Green, William R. 28 2013 Fractal solutions of linear and nonlinear dispersive partial differential equations. Zbl 1317.35230 Chousionis, Vasilis; Erdoğan, M. Burak; Tzirakis, Nikolaos 20 2015 Smoothing and global attractors for the Zakharov system on the torus. Zbl 1273.35250 Erdoğan, Mehmet Burak; Tzirakis, Nikolaos 20 2013 Exponential decay of dispersion managed solitons for vanishing average dispersion. Zbl 1239.35021 Erdoğan, M. Burak; Hundertmark, Dirk; Lee, Young-Ran 19 2011 A note on the Fourier transform of fractal measures. Zbl 1083.42006 Erdoğan, M. Burak 16 2004 Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy. Zbl 1325.35017 Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 16 2014 Dispersive estimates for the Schrödinger equation for \(C^{\frac{n-3}{2}}\) potentials in odd dimensions. Zbl 1200.35036 Erdoğan, M. Burak; Green, William R. 16 2010 A weighted dispersive estimate for Schrödinger operators in dimension two. Zbl 1272.35053 Erdoğan, M. Burak; Green, William R. 15 2013 Analytic and asymptotic properties of generalized Linnik probability densities. Zbl 0893.60004 Erdoğan, M. Burak; Ostrovskii, I. V. 14 1998 Fractal solutions of dispersive partial differential equations on the torus. Zbl 1410.35197 Erdoğan, M. B.; Shakan, G. 14 2019 Dispersive estimates for Dirac operators in dimension three with obstructions at threshold energies. Zbl 1428.35432 Erdoğan, M. Burak; Green, William R.; Ebru, Toprak 13 2019 The derivative nonlinear Schrödinger equation on the half line. Zbl 1405.35194 Erdoğan, M. B.; Gürel, T. B.; Tzirakis, N. 13 2018 Existence and uniqueness theory for the fractional Schrödinger equation on the torus. Zbl 1345.35129 Demirbas, Seckin; Erdoğan, M. Burak; Tzirakis, Nikolaos 12 2016 Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions. Zbl 1421.35310 Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 11 2019 Smoothing for the fractional Schrödinger equation on the torus and the real line. Zbl 1416.35291 Erdoğan, M. Burak; Gürel, T. Burak; Tzirakis, Nikolaos 11 2019 Regularity properties of the Zakharov system on the half line. Zbl 1379.35292 Erdoğan, M. Burak; Tzirakis, Nikolaos 10 2017 Mixed norm estimates for a restricted X-ray transform. Zbl 1037.42019 Christ, Michael; Erdoğan, M. Burak 10 2002 On Falconer’s distance set conjecture. Zbl 1141.42007 Erdoğan, M. Burak 9 2006 On the \(L^p\) boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions. Zbl 1516.35132 Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 9 2018 The Dirac equation in two dimensions: dispersive estimates and classification of threshold obstructions. Zbl 1364.35301 Erdoğan, M. Burak; Green, William R. 9 2017 On the fourth order Schrödinger equation in three dimensions: dispersive estimates and zero energy resonances. Zbl 1455.35212 Erdoğan, M. Burak; Green, William R.; Toprak, Ebru 7 2021 Mixed-norm estimates for a restricted X-ray transform in \(\mathbb{R}^4\) and \(\mathbb{R}^5\). Zbl 0980.44004 Erdoğan, M. Burak 6 2001 Long time dynamics for forced and weakly damped KdV on the torus. Zbl 1267.35192 Erdoğan, M. Burak; Tzirakis, Nikolaos 6 2013 Fourier decay of fractal measures on hyperboloids. Zbl 1455.42023 Barron, Alex; Erdoğan, M. Burak; Harris, Terence L. J. 5 2021 Estimates for the \(X\)-ray transform restricted to 2-manifolds. Zbl 1195.42059 Erdoğan, M. Burak; Oberlin, Richard 4 2010 Dispersive estimates for massive Dirac operators in dimension two. Zbl 1391.35085 Erdoğan, M. Burak; Green, William R.; Toprak, Ebru 4 2018 Quasi-linear dynamics in nonlinear Schrödinger equation with periodic boundary conditions. Zbl 1155.35093 Erdoğan, M. Burak; Zharnitsky, Vadim 4 2008 Mixed norm estimates for certain generalized Radon transforms. Zbl 1221.44004 Christ, Michael; Erdoğan, M. Burak 4 2008 The \(L^p\)-continuity of wave operators for higher order Schrödinger operators. Zbl 07537713 Erdoğan, M. Burak; Green, William R. 4 2022 Near-linear dynamics in KdV with periodic boundary conditions. Zbl 1195.35259 Erdoğan, M. B.; Tzirakis, N.; Zharnitsky, V. 4 2010 On mixture representation of the Linnik density. Zbl 0915.60028 Erdoğan, Burak; Ostrovskii, I. V. 3 1998 Nearly linear dynamics of nonlinear dispersive waves. Zbl 1262.76016 Erdoğan, M. B.; Tzirakis, N.; Zharnitsky, V. 3 2011 Energy growth in Schrödinger’s equation with Markovian forcing. Zbl 1033.81023 Erdoğan, M. Burak; Killip, Rowan; Schlag, Wilhelm 3 2003 Dispersive estimates for matrix Schrödinger operators in dimension two. Zbl 1277.35294 Erdoğan, M. Burak; Green, William R. 3 2013 On the one dimensional Dirac equation with potential. Zbl 1472.35322 Erdoğan, M. Burak; Green, William R. 3 2021 Restricting Fourier transforms of measures to curves in \({\mathbb R}^2\). Zbl 1271.42013 Erdoğan, M. Burak; Oberlin, Daniel M. 3 2013 Analytic and asymptotic properties of non-symmetric Linnik’s probability densities. Zbl 0953.62015 Erdoğan, M. Burak 2 1999 The structure of global attractors for dissipative Zakharov systems with forcing on the torus. Zbl 1327.35349 Erdoğan, M. B.; Marzuola, J. L.; Newhall, K.; Tzirakis, N. 2 2015 Mapping properties of the elliptic maximal function. Zbl 1037.42024 Erdoğan, M. Burak 1 2003 Non-symmetric Linnik distributions. Zbl 0891.60022 Erdoğan, Mehmet Burak; Ostrovskii, Iossif Vladimirovich 1 1997 The fifth order KP-II equation on the upper half-plane. Zbl 1463.35140 Erdoğan, M. B.; Gürel, T. B.; Tzirakis, N. 1 2020 The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates. Zbl 1491.35374 Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 1 2021 High frequency perturbation of cnoidal waves in KdV. Zbl 1259.35184 Erdoğan, M. B.; Tzirakis, N.; Zharnitsky, V. 1 2012 The \(L^p\)-continuity of wave operators for higher order Schrödinger operators. Zbl 07537713 Erdoğan, M. Burak; Green, William R. 4 2022 On the fourth order Schrödinger equation in three dimensions: dispersive estimates and zero energy resonances. Zbl 1455.35212 Erdoğan, M. Burak; Green, William R.; Toprak, Ebru 7 2021 Fourier decay of fractal measures on hyperboloids. Zbl 1455.42023 Barron, Alex; Erdoğan, M. Burak; Harris, Terence L. J. 5 2021 On the one dimensional Dirac equation with potential. Zbl 1472.35322 Erdoğan, M. Burak; Green, William R. 3 2021 The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates. Zbl 1491.35374 Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 1 2021 The fifth order KP-II equation on the upper half-plane. Zbl 1463.35140 Erdoğan, M. B.; Gürel, T. B.; Tzirakis, N. 1 2020 Fractal solutions of dispersive partial differential equations on the torus. Zbl 1410.35197 Erdoğan, M. B.; Shakan, G. 14 2019 Dispersive estimates for Dirac operators in dimension three with obstructions at threshold energies. Zbl 1428.35432 Erdoğan, M. Burak; Green, William R.; Ebru, Toprak 13 2019 Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions. Zbl 1421.35310 Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 11 2019 Smoothing for the fractional Schrödinger equation on the torus and the real line. Zbl 1416.35291 Erdoğan, M. Burak; Gürel, T. Burak; Tzirakis, Nikolaos 11 2019 The derivative nonlinear Schrödinger equation on the half line. Zbl 1405.35194 Erdoğan, M. B.; Gürel, T. B.; Tzirakis, N. 13 2018 On the \(L^p\) boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions. Zbl 1516.35132 Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 9 2018 Dispersive estimates for massive Dirac operators in dimension two. Zbl 1391.35085 Erdoğan, M. Burak; Green, William R.; Toprak, Ebru 4 2018 Regularity properties of the Zakharov system on the half line. Zbl 1379.35292 Erdoğan, M. Burak; Tzirakis, Nikolaos 10 2017 The Dirac equation in two dimensions: dispersive estimates and classification of threshold obstructions. Zbl 1364.35301 Erdoğan, M. Burak; Green, William R. 9 2017 Regularity properties of the cubic nonlinear Schrödinger equation on the half line. Zbl 1351.35180 Erdoğan, M. B.; Tzirakis, N. 34 2016 Dispersive partial differential equations. Wellposedness and applications. Zbl 1364.35004 Erdoǧan, M. Burak; Tzirakis, Nikolaos 30 2016 Existence and uniqueness theory for the fractional Schrödinger equation on the torus. Zbl 1345.35129 Demirbas, Seckin; Erdoğan, M. Burak; Tzirakis, Nikolaos 12 2016 Fractal solutions of linear and nonlinear dispersive partial differential equations. Zbl 1317.35230 Chousionis, Vasilis; Erdoğan, M. Burak; Tzirakis, Nikolaos 20 2015 The structure of global attractors for dissipative Zakharov systems with forcing on the torus. Zbl 1327.35349 Erdoğan, M. B.; Marzuola, J. L.; Newhall, K.; Tzirakis, N. 2 2015 Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy. Zbl 1325.35017 Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 16 2014 Global smoothing for the periodic KdV evolution. Zbl 1295.35364 Erdoğan, Mehmet Burak; Tzirakis, Nikolaos 35 2013 Talbot effect for the cubic non-linear Schröedinger equation on the torus. Zbl 1311.35279 Erdoğan, M. B.; Tzirakis, N. 33 2013 Dispersive estimates for Schrödinger operators in dimension two with obstructions at zero energy. Zbl 1282.35143 Erdoğan, M. Burak; Green, William R. 28 2013 Smoothing and global attractors for the Zakharov system on the torus. Zbl 1273.35250 Erdoğan, Mehmet Burak; Tzirakis, Nikolaos 20 2013 A weighted dispersive estimate for Schrödinger operators in dimension two. Zbl 1272.35053 Erdoğan, M. Burak; Green, William R. 15 2013 Long time dynamics for forced and weakly damped KdV on the torus. Zbl 1267.35192 Erdoğan, M. Burak; Tzirakis, Nikolaos 6 2013 Dispersive estimates for matrix Schrödinger operators in dimension two. Zbl 1277.35294 Erdoğan, M. Burak; Green, William R. 3 2013 Restricting Fourier transforms of measures to curves in \({\mathbb R}^2\). Zbl 1271.42013 Erdoğan, M. Burak; Oberlin, Daniel M. 3 2013 Pinned distance sets, \(k\)-simplices, Wolff’s exponent in finite fields and sum-product estimates. Zbl 1269.11011 Chapman, Jeremy; Erdoğan, M. Burak; Hart, Derrick; Iosevich, Alex; Koh, Doowon 59 2012 High frequency perturbation of cnoidal waves in KdV. Zbl 1259.35184 Erdoğan, M. B.; Tzirakis, N.; Zharnitsky, V. 1 2012 Exponential decay of dispersion managed solitons for vanishing average dispersion. Zbl 1239.35021 Erdoğan, M. Burak; Hundertmark, Dirk; Lee, Young-Ran 19 2011 Nearly linear dynamics of nonlinear dispersive waves. Zbl 1262.76016 Erdoğan, M. B.; Tzirakis, N.; Zharnitsky, V. 3 2011 Dispersive estimates for the Schrödinger equation for \(C^{\frac{n-3}{2}}\) potentials in odd dimensions. Zbl 1200.35036 Erdoğan, M. Burak; Green, William R. 16 2010 Estimates for the \(X\)-ray transform restricted to 2-manifolds. Zbl 1195.42059 Erdoğan, M. Burak; Oberlin, Richard 4 2010 Near-linear dynamics in KdV with periodic boundary conditions. Zbl 1195.35259 Erdoğan, M. B.; Tzirakis, N.; Zharnitsky, V. 4 2010 Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions. Zbl 1181.35208 Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm 44 2009 Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in \(\mathbb R^3\). Zbl 1152.35021 Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm 40 2008 Quasi-linear dynamics in nonlinear Schrödinger equation with periodic boundary conditions. Zbl 1155.35093 Erdoğan, M. Burak; Zharnitsky, Vadim 4 2008 Mixed norm estimates for certain generalized Radon transforms. Zbl 1221.44004 Christ, Michael; Erdoğan, M. Burak 4 2008 Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. II. Zbl 1146.35324 Erdoğan, M. Burak; Schlag, Wilhelm 34 2006 On Falconer’s distance set conjecture. Zbl 1141.42007 Erdoğan, M. Burak 9 2006 A bilinear Fourier extension theorem and applications to the distance set problem. Zbl 1129.42353 Erdoğan, M. Burak 56 2005 Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. I. Zbl 1080.35102 Erdoğan, M. Burak; Schlag, Wilhelm 34 2004 A note on the Fourier transform of fractal measures. Zbl 1083.42006 Erdoğan, M. Burak 16 2004 Energy growth in Schrödinger’s equation with Markovian forcing. Zbl 1033.81023 Erdoğan, M. Burak; Killip, Rowan; Schlag, Wilhelm 3 2003 Mapping properties of the elliptic maximal function. Zbl 1037.42024 Erdoğan, M. Burak 1 2003 Mixed norm estimates for a restricted X-ray transform. Zbl 1037.42019 Christ, Michael; Erdoğan, M. Burak 10 2002 Mixed-norm estimates for a restricted X-ray transform in \(\mathbb{R}^4\) and \(\mathbb{R}^5\). Zbl 0980.44004 Erdoğan, M. Burak 6 2001 Analytic and asymptotic properties of non-symmetric Linnik’s probability densities. Zbl 0953.62015 Erdoğan, M. Burak 2 1999 Analytic and asymptotic properties of generalized Linnik probability densities. Zbl 0893.60004 Erdoğan, M. Burak; Ostrovskii, I. V. 14 1998 On mixture representation of the Linnik density. Zbl 0915.60028 Erdoğan, Burak; Ostrovskii, I. V. 3 1998 Non-symmetric Linnik distributions. Zbl 0891.60022 Erdoğan, Mehmet Burak; Ostrovskii, Iossif Vladimirovich 1 1997 all cited Publications top 5 cited Publications all top 5 Cited by 485 Authors 30 Erdoğan, Mehmet Burak 27 Iosevich, Alex 23 Green, William R. 19 Koh, Doowon 15 Pham Van Thang 15 Vinh, Le Anh 14 Goldberg, Michael Joseph 12 Vega, Luis 10 Fanelli, Luca 10 Tzirakis, Nikolaos 9 Lee, Young-Ran 8 Hundertmark, Dirk 8 Liu, Bochen 7 Himonas, A. Alexandrou 7 Shen, Chun-Yen 6 D’Ancona, Piero 6 Marzuola, Jeremy Louis 6 Mizutani, Haruya 6 Oh, Tadahiro 6 Rudnev, Misha 6 Senger, Steven 6 Yan, Fangchi 5 Boussaid, Nabile 5 Choi, Mi-Ran 5 Compaan, Erin 5 Covert, David J. 5 Leonenko, Nikolai N. 5 Mantzavinos, Dionyssios 5 Richard, Serge 5 Schlag, Wilhelm 5 Shparlinski, Igor E. 5 Soffer, Avraham 5 Yao, Xiaohua 5 Zhang, Junyong 4 Banica, Valeria 4 Beceanu, Marius 4 Cavalcante, Márcio André Araújo 4 Chentouf, Boumediène 4 Guo, Boling 4 Hart, Derrick N. 4 Komech, Alexander Ilich 4 Kovařík, Hynek 4 Kumar, Sandeep 4 Lee, Sanghyuk 4 Michelangeli, Alessandro 4 Petridis, Giorgis 4 Scandone, Raffaele 4 Tiedra de Aldecoa, Rafael 4 Tzvetkov, Nikolay 4 Yajima, Kenji 4 Zheng, Jiqiang 3 Antonelli, Paolo 3 Barceló, Juan Antonio 3 Başakoğlu, Engin 3 Bennett, Jonathan M. 3 Cacciafesta, Federico 3 Carbery, Anthony 3 Cardoso, Fernando 3 Comech, Andrew 3 Cuevas, Claudio 3 de la Hoz, Francisco 3 Eceizabarrena, Daniel 3 Ge, Gennian 3 Gesztesy, Fritz 3 Greenleaf, Allan 3 Gürel, T. Burak 3 Ham, Seheon 3 Harris, Terence L. J. 3 Kappeler, Thomas 3 Kopylova, Elena A. 3 Kunstmann, Peer Christian 3 Kwon, Soonsik 3 Luca, Renato 3 McConnell, Ryan 3 Murphy, Brendan 3 Oberlin, Daniel M. 3 Olver, Peter John 3 Ou, Yumeng 3 Pakianathan, Jonathan 3 Palsson, Eyvindur Ari 3 Parshall, Hans 3 Pi, Youngjin 3 Ponce-Vanegas, Felipe E. 3 Schaad, Beat 3 Schnaubelt, Roland 3 Stefanov, Atanas G. 3 Toprak, Ebru 3 Tsutsumi, Yoshio 3 Vodev, Georgi 3 Wu, Jun 3 Yoon, Haewon 3 Zhang, Bingyu 2 Ambrose, David M. 2 Barron, Alex 2 Baskin, Dean 2 Birklbauer, Philipp 2 Bouclet, Jean-Marc 2 Cao, Pei 2 Carlone, Raffaele 2 Chen, Changhao ...and 385 more Authors all top 5 Cited in 155 Serials 24 Journal of Functional Analysis 23 Journal of Differential Equations 21 Journal of Mathematical Analysis and Applications 18 Communications in Mathematical Physics 16 Proceedings of the American Mathematical Society 13 Transactions of the American Mathematical Society 12 Advances in Mathematics 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Communications in Partial Differential Equations 8 Journal of Mathematical Physics 8 Revista Matemática Iberoamericana 8 Annales Henri Poincaré 7 Journal d’Analyse Mathématique 7 Mathematische Annalen 7 Mathematische Zeitschrift 7 Physica D 7 SIAM Journal on Mathematical Analysis 7 The Journal of Fourier Analysis and Applications 6 Nonlinearity 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Forum Mathematicum 5 Journal of Nonlinear Science 5 Discrete and Continuous Dynamical Systems 4 Journal of the Mathematical Society of Japan 4 Journal of Number Theory 4 Finite Fields and their Applications 4 Journal of Evolution Equations 4 Communications on Pure and Applied Analysis 3 Bulletin of the Australian Mathematical Society 3 Journal of Statistical Physics 3 Reviews in Mathematical Physics 3 Acta Arithmetica 3 Illinois Journal of Mathematics 3 Inventiones Mathematicae 3 SIAM Journal on Discrete Mathematics 3 The Journal of Geometric Analysis 3 NoDEA. Nonlinear Differential Equations and Applications 3 Chaos 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Analysis & PDE 3 Bulletin of the Hellenic Mathematical Society 3 SN Partial Differential Equations and Applications 2 Letters in Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Colloquium Mathematicum 2 Indiana University Mathematics Journal 2 Journal of the Korean Mathematical Society 2 Journal of Statistical Planning and Inference 2 Michigan Mathematical Journal 2 Pacific Journal of Mathematics 2 Quarterly of Applied Mathematics 2 Graphs and Combinatorics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Mathematical Sciences (New York) 2 Vietnam Journal of Mathematics 2 Methodology and Computing in Applied Probability 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of the Australian Mathematical Society 2 Analysis and Mathematical Physics 2 Discrete Analysis 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Inverse Problems 1 Israel Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 The Mathematical Intelligencer 1 Acta Mathematica 1 American Journal of Mathematics 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Journal of Multivariate Analysis 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 European Journal of Combinatorics 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Probability Theory and Related Fields 1 Journal of the American Mathematical Society 1 Publicacions Matemàtiques ...and 55 more Serials all top 5 Cited in 42 Fields 292 Partial differential equations (35-XX) 83 Harmonic analysis on Euclidean spaces (42-XX) 60 Measure and integration (28-XX) 58 Number theory (11-XX) 57 Convex and discrete geometry (52-XX) 51 Quantum theory (81-XX) 43 Operator theory (47-XX) 39 Dynamical systems and ergodic theory (37-XX) 21 Optics, electromagnetic theory (78-XX) 19 Probability theory and stochastic processes (60-XX) 18 Combinatorics (05-XX) 15 Integral transforms, operational calculus (44-XX) 15 Fluid mechanics (76-XX) 10 Numerical analysis (65-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Functional analysis (46-XX) 8 Geometry (51-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Statistics (62-XX) 4 Potential theory (31-XX) 4 Differential geometry (53-XX) 4 Systems theory; control (93-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Mechanics of particles and systems (70-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Algebraic topology (55-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year