Edit Profile (opens in new tab) Naumkin, Pavel Ivanovich Co-Author Distance Author ID: naumkin.pavel-i Published as: Naumkin, Pavel I.; Naumkin, P. I.; Naumkin, Pavel more...less Homepage: http://www.matmor.unam.mx/es/personal/investigadores/pavelni External Links: ResearchGate · Math-Net.Ru · dblp Documents Indexed: 272 Publications since 1982, including 2 Books Co-Authors: 44 Co-Authors with 253 Joint Publications 615 Co-Co-Authors all top 5 Co-Authors 19 single-authored 157 Hayashi, Nakao 69 Shishmarev, Ilya Andreevich 53 Kaikina, Elena Igorevna 11 Sánchez-Suárez, Isahi 7 Li, Chunhua 6 Juárez-Campos, Beatriz 5 Mendez Navarro, Jesus A. 5 Ogawa, Takayoshi 4 Carreño-Bolaños, Rafael 3 Bernal-Vílchis, Fernando 3 Kato, Keiichi 3 Niizato, Tomoyuki 3 Ruiz-Paredes, Hector Francisco 3 Uchida, Hidetake 2 Cardiel, Rosa E. 2 Ito, Naoko 2 Kawahara, Yuichiro 2 Kobayashi, Seishirou 2 Pérez, Jhon Jairo 2 Pipolo, Patrick-Nicolas 2 Rodriguez Ceballos, Joel Arturo 2 Saut, Jean-Claude 2 Tonegawa, Satoshi 2 Yamazaki, Yasuko 1 Aoki, Kazuki 1 Cardiel Cervantes, Rosa E. 1 de Bouard, Anne 1 Guo, Zihua 1 Hoshino, Gaku 1 Ikeda, Masahiro 1 Iro, Naoko 1 Lin, Yiquan 1 Matos, Tonatiuh 1 Miao, Changxing 1 Mizumachi, Tetsu 1 Ozawa, Tohru 1 Rojas-Milla, Cristian Jesus 1 Shimomura, Akihiro 1 Shshimarëv, I. A. 1 Sunagawa, Hideaki 1 Tominaga, Masayo 1 Villela-Aguilar, José de Jesús 1 Wang, Huimei 1 Wibowo, Ratno Bagus Edy all top 5 Serials 11 Journal of Differential Equations 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Journal of Mathematical Physics 9 Differential Equations 9 Doklady Mathematics 8 Differential and Integral Equations 8 SUT Journal of Mathematics 8 Izvestiya: Mathematics 7 Funkcialaj Ekvacioj. Serio Internacia 7 Journal of Evolution Equations 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 NoDEA. Nonlinear Differential Equations and Applications 6 Discrete and Continuous Dynamical Systems 6 Communications in Contemporary Mathematics 5 Communications in Mathematical Physics 5 Journal of Mathematical Analysis and Applications 5 Electronic Journal of Differential Equations (EJDE) 4 Differentsial’nye Uravneniya 4 Functional Analysis and its Applications 4 Hokkaido Mathematical Journal 4 Soviet Mathematics. Doklady 4 SIAM Journal on Mathematical Analysis 4 Advances in Differential Equations 4 Sbornik: Mathematics 4 Matematicheskoe Modelirovanie 4 Communications on Pure and Applied Analysis 3 Moscow University Physics Bulletin 3 Studies in Applied Mathematics 3 Asymptotic Analysis 3 IMRN. International Mathematics Research Notices 3 Soviet Physics. Doklady 3 Differential Equations 2 Applicable Analysis 2 Journal d’Analyse Mathématique 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Functional Analysis 2 Journal of the Mathematical Society of Japan 2 Mathematics of the USSR. Izvestiya 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Transactions of the American Mathematical Society 2 Communications in Partial Differential Equations 2 Mathematics of the USSR, Sbornik 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Matematicheskiĭ Sbornik 2 Russian Academy of Sciences. Izvestiya. Mathematics 2 Mathematical Physics, Analysis and Geometry 2 RIMS Kokyuroku 2 Annales Henri Poincaré 2 Pacific Journal of Applied Mathematics 2 Advances in Mathematical Physics 2 International Journal of Differential Equations 2 Journal of Pseudo-Differential Operators and Applications 2 SN Partial Differential Equations and Applications 1 Mathematical Notes 1 Matematicheskie Zametki 1 Russian Mathematical Surveys 1 American Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Canadian Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Tôhoku Mathematical Journal. Second Series 1 Tsukuba Journal of Mathematics 1 Complex Variables. Theory and Application 1 Advances in Mathematics (Beijing) 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Doklady Akademii Nauk 1 Russian Academy of Sciences. Doklady. Mathematics 1 Physics-Doklady 1 Journal of Mathematical Sciences (New York) 1 Journal of Mathematical Sciences. University of Tokyo 1 Taiwanese Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 International Journal of Pure and Applied Mathematics 1 Matemáticas: Enseñanza Universitaria (Nueva Serie) 1 Journal of Hyperbolic Differential Equations 1 Cubo 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Complex Variables and Elliptic Equations 1 Lecture Notes in Mathematics 1 Translations of Mathematical Monographs 1 Inverse Problems and Imaging 1 RIMS Kôkyûroku Bessatsu 1 Differential Equations and Applications all top 5 Fields 260 Partial differential equations (35-XX) 29 Fluid mechanics (76-XX) 16 Integral equations (45-XX) 13 Quantum theory (81-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Real functions (26-XX) 4 Optics, electromagnetic theory (78-XX) 4 Biology and other natural sciences (92-XX) 3 Operator theory (47-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 180 Publications have been cited 1,491 times in 712 Documents Cited by ▼ Year ▼ Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations. Zbl 0917.35128 Hayashi, Nakao; Naumkin, Pavel I. 146 1998 Nonlinear nonlocal equations in the theory of waves. Zbl 0802.35002 Naumkin, P. I.; Shishmarev, I. A. 90 1994 The initial value problem for the cubic nonlinear Klein-Gordon equation. Zbl 1190.35199 Hayashi, Nakao; Naumkin, Pavel I. 66 2008 Asymptotics for dissipative nonlinear equations. Zbl 1130.35001 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.; Shishmarev, I. A. 56 2006 Damped wave equation with super critical nonlinearities. Zbl 1224.35281 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. 52 2004 Damped wave equation with a critical nonlinearity. Zbl 1081.35104 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. 31 2006 The Cauchy problem for a Sobolev-type equation with a power nonlinearity. Zbl 1079.35024 Kaĭkina, E. I.; Naumkin, P. I.; Shishmarev, I. A. 31 2005 Large time behavior of solutions for the modified Korteweg-de Vries equation. Zbl 0936.35126 Hayashi, Nakao; Naumkin, Pavel I. 29 1999 On the inhomogeneous fourth-order nonlinear Schrödinger equation. Zbl 1328.35212 Hayashi, Nakao; Naumkin, Pavel I. 26 2015 Domain and range of the modified wave operator for Schrödinger equations with a critical nonlinearity. Zbl 1113.81121 Hayashi, Nakao; Naumkin, Pavel I. 25 2006 Time decay for nonlinear dissipative Schrödinger equations in optical fields. Zbl 1403.35046 Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I. 25 2016 On a system of nonlinear Schrödinger equations in 2D. Zbl 1249.35305 Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I. 24 2011 Large time asymptotics of solutions to the generalized Benjamin-Ono equation. Zbl 0903.35066 Hayashi, Nakao; Naumkin, Pavel I. 23 1999 Large-time behaviour of solutions to the dissipative nonlinear Schrödinger equation. Zbl 0970.35139 Hayashi, N.; Kaikina, E. I.; Naumkin, P. I. 22 2000 Modified wave operator for a system of nonlinear Schrödinger equations in 2d. Zbl 1244.35135 Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I. 21 2012 Damped wave equation in the subcritical case. Zbl 1072.35109 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. 20 2004 Factorization technique for the fourth-order nonlinear Schrödinger equation. Zbl 1327.35351 Hayashi, Nakao; Naumkin, Pavel I. 19 2015 On the modified Korteweg–de Vries equation. Zbl 0994.35107 Hayashi, Nakao; Naumkin, Pavel 17 2001 Asymptotics of small solutions to nonlinear Schrödinger equations with cubic nonlinearities. Zbl 1018.35070 Hayashi, Nakao; Naumkin, Pavel I. 17 2002 Global existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrödinger equation in the critical case. Zbl 1311.35285 Hayashi, Nakao; Naumkin, Pavel I. 17 2015 On the critical nonlinear damped wave equation with large initial data. Zbl 1195.35220 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. 15 2007 Scattering theory for the Hartree equation. Zbl 0916.35110 Hayashi, Nakao; Naumkin, Pavel I.; Ozawa, Tohru 15 1998 Large time asymptotics of solutions to the generalized Korteweg-de Vries equation. Zbl 0915.35093 Hayashi, Nakao; Naumkin, Pavel I. 15 1998 Quadratic nonlinear Klein-Gordon equation in one dimension. Zbl 1282.35347 Hayashi, Nakao; Naumkin, Pavel I. 15 2012 Scattering operator for nonlinear Klein-Gordon equations. Zbl 1182.35198 Hayashi, Nakao; Naumkin, Pavel I. 14 2009 Modified wave operators for nonlinear Schrödinger equations in one and two dimensions. Zbl 1064.35188 Hayashi, Nakao; Naumkin, Pavel I.; Shimomura, Akihiro; Tonegawa, Satoshi 14 2004 Large time asymptotics for the fourth-order nonlinear Schrödinger equation. Zbl 1303.35100 Hayashi, Nakao; Naumkin, Pavel I. 14 2015 On the quadratic nonlinear Schrödinger equation in three space dimensions. Zbl 1004.35112 Hayashi, Nakao; Naumkin, Pavel I. 13 2000 Factorization technique for the modified Korteweg-de Vries equation. Zbl 1358.35118 Hayashi, Nakao; Naumkin, Pavel I. 13 2016 Large time behavior for the cubic nonlinear Schrödinger equation. Zbl 1012.35079 Hayashi, Nakao; Naumkin, Pavel I. 13 2002 Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case. Zbl 1353.35262 Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I. 13 2016 Large time asymptotics for the BBM-Burgers equation. Zbl 1131.35071 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. 12 2007 Asymptotics for the Korteweg-de Vries-Burgers equation. Zbl 1104.35046 Hayashi, Nakao; Naumkin, Pavel I. 12 2006 On the Schrödinger equation with dissipative nonlinearities of derivative type. Zbl 1168.35434 Hayashi, Nakao; Naumkin, Pavel I.; Sunagawa, Hideaki 12 2008 Large-time asymptotic behaviour of a step for the Benjamin-Bona-Mahony-Burgers equation. Zbl 0848.35116 Naumkin, P. I. 10 1996 Large time behavior of solutions for derivative cubic nonlinear Schrödinger equations. Zbl 0945.35083 Hayashi, Nakao; Naumkin, Pavel I.; Uchida, Hidetake 10 1999 On the scattering theory for the cubic nonlinear Schrödinger and Hartree type equations in one space dimension. Zbl 0921.35163 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. 10 1998 Scattering operator for nonlinear Klein-Gordon equations in higher space dimensions. Zbl 1136.35079 Hayashi, Nakao; Naumkin, Pavel I. 10 2008 Logarithmic time decay for the cubic nonlinear Schrödinger equations. Zbl 1330.35401 Hayashi, Nakao; Naumkin, Pavel I. 10 2015 Final state problem for the cubic nonlinear Klein-Gordon equation. Zbl 1283.35056 Hayashi, Nakao; Naumkin, Pavel I. 10 2009 Scattering problem and asymptotics for a relativistic nonlinear Schrödinger equation. Zbl 0935.35147 de Bouard, Anne; Hayashi, Nakao; Naumkin, Pavel I.; Saut, Jean-Claude 9 1999 Global existence of small solutions to the generalized derivative nonlinear Schrödinger equation. Zbl 0937.35171 Hayashi, Nakao; Miao, Changxing; Naumkin, Pavel I. 9 1999 Global existence for the cubic nonlinear Schrödinger equation in lower order Sobolev spaces. Zbl 1249.35306 Hayashi, Nakao; Naumkin, Pavel I. 9 2011 Scattering of solutions to the fourth-order nonlinear Schrödinger equation. Zbl 1345.35101 Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I. 9 2016 Self-similar asymptotics for solutions to the intermediate long-wave equation. Zbl 1426.35029 Bernal-Vílchis, Fernando; Naumkin, Pavel I. 9 2019 Fractional nonlinear Schrödinger equation of order \(\alpha \in ( 0 , 1 )\). Zbl 1440.35310 Naumkin, Pavel I. 9 2020 Global existence and time decay of small solutions to the Landau-Ginzburg type equations. Zbl 1173.35532 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. 8 2003 The step-decay problem for the Korteweg-de Vries-Burgers equation. Zbl 0739.35092 Naumkin, P. I.; Shishmarev, I. A. 8 1991 Global existence of small solutions for the fourth-order nonlinear Schrödinger equation. Zbl 1367.35148 Aoki, Kazuki; Hayashi, Nakao; Naumkin, Pavel I. 8 2016 Asymptotics for large time of global solutions to the generalized Kadomtsev-Petviashvili equation. Zbl 0936.35158 Hayashi, Nakao; Naumkin, Pavel I.; Saut, Jean-Claude 7 1999 Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation. Zbl 0934.35163 Hayashi, Nakao; Naumkin, Pavel I. 7 1998 Time decay of small solutions to quadratic nonlinear Schrödinger equations in 3D. Zbl 1031.35134 Hayashi, Nakao; Mizumachi, Tetsu; Naumkin, Pavel I. 7 2003 Large time behavior of solutions for derivative cubic nonlinear Schrödinger equations without a self-conjugate property. Zbl 1141.35459 Hayashi, Nakao; Naumkin, Pavel I. 7 1999 Asymptotic for fractional nonlinear heat equations. Zbl 1183.35037 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. 7 2005 On the asymptotics for cubic nonlinear Schrödinger equations. Zbl 1064.35187 Hayashi, Nakao; Naumkin, Pavel I. 7 2004 Large time asymptotics for the fractional order cubic nonlinear Schrödinger equations. Zbl 1365.35154 Hayashi, Nakao; Naumkin, Pavel I. 7 2017 Landau-Ginzburg type equations in the subcritical case. Zbl 1020.35103 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. 7 2003 The dissipative property of a cubic non-linear Schrödinger equation. Zbl 1317.35240 Naumkin, P. I. 7 2015 Periodic boundary value problem for nonlinear Sobolev-type equations. Zbl 1271.35051 Kaikina, E. I.; Naumkin, P. I.; Shishmarev, I. A. 7 2010 Asymptotics for nonlinear damped wave equations with large initial data. Zbl 1132.35447 Hayashi, Nakao; Kaikina, E. I.; Naumkin, P. I. 6 2007 Scattering theory and large time asymptotics of solutions to the Hartree type equations with a long range potential. Zbl 0985.35083 Hayashi, Nakao; Naumkin, Pavel I. 6 2001 Large time behavior of solutions to the Landau-Ginzburg type equations. Zbl 1142.35456 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. 6 2001 Nonlinear scattering for a system of nonlinear Klein-Gordon equations. Zbl 1152.81467 Hayashi, Nakao; Naumkin, Pavel I.; Wibowo, Ratno Bagus Edy 6 2008 Modified wave operators for nonlinear Schrödinger equations in lower order Sobolev spaces. Zbl 1291.35348 Hayashi, Nakao; Wang, Huimei; Naumkin, Pavel I. 6 2011 Wave operators to a quadratic nonlinear Klein-Gordon equation in two space dimensions. Zbl 1173.35599 Hayashi, Nakao; Naumkin, Pavel I. 6 2009 Upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations. Zbl 1372.35284 Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I. 6 2017 Large time asymptotics for the reduced Ostrovsky equation. Zbl 1319.35190 Hayashi, Nakao; Naumkin, Pavel I. 6 2015 Periodic problem for a model nonlinear evolution equation. Zbl 1057.35055 Kaikina, Elena I.; Naumkin, Pavel I.; Shishmarev, Ilya A. 6 2002 Modified scattering operator for the derivative nonlinear Schrödinger equation. Zbl 1294.35137 Guo, Zihua; Hayashi, Nakao; Lin, Yiquan; Naumkin, Pavel I. 6 2013 Asymptotics of solutions to the generalized Ostrovsky equation. Zbl 1286.35077 Hayashi, Nakao; Naumkin, Pavel I.; Niizato, Tomoyuki 6 2013 Asymptotic behavior for large time of solutions to the nonlinear nonlocal Schrödinger equation on half-line. Zbl 0932.35188 Kaikina, Elena I.; Naumkin, Pavel I.; Shishmarev, Ilya A. 5 1999 On the scattering in Gevrey classes for the subcritical Hartree and Schrödinger equations. Zbl 0931.35161 Hayashi, Nakao; Kato, Keiichi; Naumkin, Pavel I. 5 1998 Asymptotic relationship as \(t \to \infty\) between solutions to some nonlinear equations. I. Zbl 0846.35121 Naumkin, P. I.; Shishmarev, I. A. 5 1994 Analytic smoothing effects for some derivative nonlinear Schrödinger equations. Zbl 0982.35108 Hayashi, Nakao; Naumkin, Pavel I.; Pipolo, Patrick-Nicolas 5 2000 Remarks on scattering theory and large time asymptotics of solutions to Hartree type equations with a long range potential. Zbl 0937.35167 Hayashi, Nakao; Naumkin, Pavel I. 5 1998 Large-time asymptotic behaviour of solutions of non-linear Sobolev-type equations. Zbl 1227.35066 Kaikina, E. I.; Naumkin, P. I.; Shishmarev, I. A. 5 2009 Solution asymptotics at large times for the nonlinear Schrödinger equation. Zbl 0894.35103 Naumkin, P. I. 5 1997 Nonexistence of the usual scattering states for the generalized Ostrovsky-Hunter equation. Zbl 1338.35301 Hayashi, Nakao; Naumkin, Pavel I.; Niizato, Tomoyuki 5 2014 A bilinear estimate and its application to a quadratic nonlinear Klein-Gordon equation in two space dimensions. Zbl 1338.35296 Hayashi, Nakao; Naumkin, Pavel I. 5 2016 Final state problem for Korteweg-de Vries type equations. Zbl 1112.35138 Hayashi, Nakao; Naumkin, Pavel I. 4 2006 On Sobolev-type equations with critical nonlinearities. Zbl 1141.35339 Kaikina, E. I.; Naumkin, P. I.; Shishmarev, I. A. 4 2006 Global existence of solutions to nonlinear dispersive wave equations. Zbl 1265.35331 Hayashi, Nakao; Kobayashi, Seishirou; Naumkin, Pavel I. 4 2012 Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation revisited. Zbl 0948.35116 Hayashi, Nakao; Naumkin, Pavel I. 4 1997 Quadratic derivative nonlinear Schrödinger equations in two space dimensions. Zbl 1228.35217 Bernal-Vílchis, Fernando; Hayashi, Nakao; Naumkin, Pavel I. 4 2011 On the critical nongauge invariant nonlinear Schrödinger equation. Zbl 1231.35237 Naumkin, Pavel I.; Sánchez-Suárez, Isahi 4 2011 Asymptotic relations between solutions to various nonlinear equations at large time. II. Zbl 1126.35356 Naumkin, P. I.; Shishmarev, I. A. 4 1994 Cubic derivative nonlinear Schrödinger equations. Zbl 0964.35145 Naumkin, Pavel I. 4 2000 Asymptotics of odd solutions for cubic nonlinear Schrödinger equations. Zbl 1156.35089 Hayashi, Nakao; Naumkin, Pavel I. 4 2009 Global existence for two dimensional quadratic derivative nonlinear Schrödinger equations. Zbl 1247.35145 Hayashi, Nakao; Naumkin, Pavel I. 4 2012 Nonlinear Schrödinger systems in 2d with nondecaying final data. Zbl 1328.35211 Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I. 4 2016 Wave operator for the system of the Dirac-Klein-Gordon equations. Zbl 1221.35246 Hayashi, Nakao; Ikeda, Masahiro; Naumkin, Pavel I. 4 2011 Asymptotics for nonlinear dissipative equations in the super critical case. Zbl 1039.35083 Cardiel, Rosa E.; Naumkin, Pavel I. 4 2002 Asymptotics in time of solutions to nonlinear Schrödinger equations in two space dimensions. Zbl 1185.35020 Hayashi, Nakao; Naumkin, Pavel I. 4 2006 Asymptotic properties of solutions to dispersive equation of Schrödinger type. Zbl 1156.35088 Hayashi, Nakao; Naumkin, Pavel I. 4 2008 KdV type asymptotics for solutions to higher-order nonlinear Schrödinger equations. Zbl 1441.35221 Naumkin, Pavel I.; Sanchez-Suarez, Isahi 4 2020 Large time asymptotics for the fractional nonlinear Schrödinger equation. Zbl 1439.35061 Hayashi, Nakao; Naumkin, Pavel I. 4 2020 Time decay estimates for solutions of the Cauchy problem for the modified Kawahara equation. Zbl 1416.35042 Naumkin, P. I. 4 2019 Large time behavior of solutions to the generalized derivative nonlinear Schrödinger equation. Zbl 0952.35132 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. 3 1999 Remark on the global existence and large time asymptotics of solutions for the quadratic NLS. Zbl 1229.35262 Hayashi, Nakao; Naumkin, Pavel I. 3 2011 Asymptotics of solutions to the periodic problem for a Burgers type equation. Zbl 1252.35069 Naumkin, Pavel I.; Rojas-Milla, Cristian Jesus 3 2011 Modified scattering for the derivative fractional nonlinear Schrödinger equation. Zbl 1515.35248 Hayashi, Nakao; Naumkin, Pavel I. 1 2023 Asymptotics for the fractional nonlinear Schrödinger equation with \(2<\alpha <\frac{5}{2}\). Zbl 1490.35041 Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I. 3 2022 Large time asymptotics for the fractional modified Korteweg-de Vries equation with \(\alpha \in \left(2,4\right)\). Zbl 1501.35059 Hayashi, Nakao; Naumkin, Pavel I.; Sánchez-Suárez, Isahi 3 2022 Modified scattering for the nonlinear nonlocal Schrödinger equation in one-dimensional case. Zbl 1479.35793 Hayashi, Nakao; Naumkin, Pavel I. 1 2022 Large time asymptotics for the higher-order nonlinear nonlocal Schrödinger equation. Zbl 1458.35059 Juarez-Campos, Beatriz; Naumkin, Pavel I. 1 2021 Modified scattering for higher-order nonlinear Schrödinger equation in one space dimension. Zbl 1486.35370 Hayashi, Nakao; Naumkin, Pavel I. 1 2021 Scattering operator for the fourth order nonlinear Schrödinger equation. Zbl 1479.35792 Hayashi, Nakao; Kawahara, Yuichiro; Naumkin, Pavel I. 1 2021 Fractional nonlinear Schrödinger equation of order \(\alpha \in ( 0 , 1 )\). Zbl 1440.35310 Naumkin, Pavel I. 9 2020 KdV type asymptotics for solutions to higher-order nonlinear Schrödinger equations. Zbl 1441.35221 Naumkin, Pavel I.; Sanchez-Suarez, Isahi 4 2020 Large time asymptotics for the fractional nonlinear Schrödinger equation. Zbl 1439.35061 Hayashi, Nakao; Naumkin, Pavel I. 4 2020 Periodic problem for the nonlinear damped wave equation with convective nonlinearity. Zbl 1452.35103 Carreño-Bolaños, Rafael; Juarez-Campos, Beatriz; Naumkin, Pavel I. 3 2020 Higher-order nonlinear Schrödinger equation in 2D case. Zbl 1437.35629 Hayashi, Nakao; Naumkin, Pavel I. 3 2020 Self-similar asymptotics for solutions to the intermediate long-wave equation. Zbl 1426.35029 Bernal-Vílchis, Fernando; Naumkin, Pavel I. 9 2019 Time decay estimates for solutions of the Cauchy problem for the modified Kawahara equation. Zbl 1416.35042 Naumkin, P. I. 4 2019 Fractional nonlinear Schrödinger equation. Zbl 1429.35202 Mendez-Navarro, Jesus A.; Naumkin, Pavel I.; Sánchez-Suárez, Isahi 3 2019 Asymptotics of solutions of a modified Whitham equation with surface tension. Zbl 1414.35032 Naumkin, P. I. 2 2019 Dissipative character of asymptotics for the nonlinear fractional Schrödinger equation. Zbl 1435.35356 Naumkin, Pavel I. 2 2019 On the modified intermediate long-wave equation. Zbl 1403.35052 Naumkin, Pavel I.; Sánchez-Suárez, Isahi 3 2018 Asymptotics for the modified Boussinesq equation in one space dimension. Zbl 1387.35491 Hayashi, Nakao; Naumkin, Pavel I. 3 2018 Large time asymptotics of solutions for the modified KdV equation with a fifth-order dispersive term. Zbl 1411.35226 Hayashi, Nakao; Naumkin, Pavel I. 3 2018 Higher-order derivative nonlinear Schrödinger equation in the critical case. Zbl 1390.35338 Naumkin, Pavel I.; Perez, Jhon J. 2 2018 Asymptotics for the modified Whitham equation. Zbl 1397.35210 Hayashi, Nakao; Naumkin, Pavel I.; Sánchez-Suárez, Isahi 1 2018 Critical nonlinear Schrödinger equations in higher space dimensions. Zbl 1408.35173 Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I. 1 2018 Large time asymptotics for the fractional order cubic nonlinear Schrödinger equations. Zbl 1365.35154 Hayashi, Nakao; Naumkin, Pavel I. 7 2017 Upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations. Zbl 1372.35284 Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I. 6 2017 Damped wave equation with a critical nonlinearity in higher space dimensions. Zbl 1368.35187 Hayashi, Nakao; Naumkin, Pavel I. 3 2017 Analyticity of solutions to the non gauge invariant Schrödinger equations. Zbl 1382.35268 Hoshino, Gaku; Naumkin, Pavel I. 1 2017 Time decay for nonlinear dissipative Schrödinger equations in optical fields. Zbl 1403.35046 Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I. 25 2016 Factorization technique for the modified Korteweg-de Vries equation. Zbl 1358.35118 Hayashi, Nakao; Naumkin, Pavel I. 13 2016 Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case. Zbl 1353.35262 Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I. 13 2016 Scattering of solutions to the fourth-order nonlinear Schrödinger equation. Zbl 1345.35101 Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I. 9 2016 Global existence of small solutions for the fourth-order nonlinear Schrödinger equation. Zbl 1367.35148 Aoki, Kazuki; Hayashi, Nakao; Naumkin, Pavel I. 8 2016 A bilinear estimate and its application to a quadratic nonlinear Klein-Gordon equation in two space dimensions. Zbl 1338.35296 Hayashi, Nakao; Naumkin, Pavel I. 5 2016 Nonlinear Schrödinger systems in 2d with nondecaying final data. Zbl 1328.35211 Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I. 4 2016 On the inhomogeneous fourth-order nonlinear Schrödinger equation. Zbl 1328.35212 Hayashi, Nakao; Naumkin, Pavel I. 26 2015 Factorization technique for the fourth-order nonlinear Schrödinger equation. Zbl 1327.35351 Hayashi, Nakao; Naumkin, Pavel I. 19 2015 Global existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrödinger equation in the critical case. Zbl 1311.35285 Hayashi, Nakao; Naumkin, Pavel I. 17 2015 Large time asymptotics for the fourth-order nonlinear Schrödinger equation. Zbl 1303.35100 Hayashi, Nakao; Naumkin, Pavel I. 14 2015 Logarithmic time decay for the cubic nonlinear Schrödinger equations. Zbl 1330.35401 Hayashi, Nakao; Naumkin, Pavel I. 10 2015 The dissipative property of a cubic non-linear Schrödinger equation. Zbl 1317.35240 Naumkin, P. I. 7 2015 Large time asymptotics for the reduced Ostrovsky equation. Zbl 1319.35190 Hayashi, Nakao; Naumkin, Pavel I. 6 2015 Scattering operator for semirelativistic Hartree type equation with a short range potential. Zbl 1374.35330 Hayashi, Nakao; Naumkin, Pavel I.; Ogawa, Takayoshi 3 2015 Remark on a weakly coupled system of nonlinear damped wave equations. Zbl 1320.35202 Hayashi, Nakao; Naumkin, Pavel I.; Tominaga, Masayo 3 2015 Nonexistence of the usual scattering states for the generalized Ostrovsky-Hunter equation. Zbl 1338.35301 Hayashi, Nakao; Naumkin, Pavel I.; Niizato, Tomoyuki 5 2014 Large time asymptotics for the Kadomtsev-Petviashvili equation. Zbl 1318.35098 Hayashi, Nakao; Naumkin, Pavel I. 3 2014 On the new critical exponent for the nonlinear Schrödinger equations. Zbl 1297.35216 Hayashi, Nakao; Naumkin, Pavel I. 2 2014 On the generalized reduced Ostrovsky equation. Zbl 1326.35273 Hayashi, Nakao; Naumkin, Pavel I. 1 2014 Modified scattering operator for the derivative nonlinear Schrödinger equation. Zbl 1294.35137 Guo, Zihua; Hayashi, Nakao; Lin, Yiquan; Naumkin, Pavel I. 6 2013 Asymptotics of solutions to the generalized Ostrovsky equation. Zbl 1286.35077 Hayashi, Nakao; Naumkin, Pavel I.; Niizato, Tomoyuki 6 2013 Scattering problem for quadratic nonlinear Klein-Gordon equation in 2D. Zbl 1273.35251 Hayashi, Nakao; Naumkin, Pavel I. 3 2013 Asymptotic expansion of solutions to the periodic problem for a non-linear Sobolev-type equation. Zbl 1270.35183 Kaikina, E. I.; Naumkin, P. I.; Shishmarev, I. A. 3 2013 A system of quadratic nonlinear Klein-Gordon equations in 2d. Zbl 1267.35123 Hayashi, Nakao; Naumkin, Pavel I. 2 2013 Modified wave operator for a system of nonlinear Schrödinger equations in 2d. Zbl 1244.35135 Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I. 21 2012 Quadratic nonlinear Klein-Gordon equation in one dimension. Zbl 1282.35347 Hayashi, Nakao; Naumkin, Pavel I. 15 2012 Global existence of solutions to nonlinear dispersive wave equations. Zbl 1265.35331 Hayashi, Nakao; Kobayashi, Seishirou; Naumkin, Pavel I. 4 2012 Global existence for two dimensional quadratic derivative nonlinear Schrödinger equations. Zbl 1247.35145 Hayashi, Nakao; Naumkin, Pavel I. 4 2012 Almost global existence of solutions to the Kadomtsev-Petviashvili equations. Zbl 1244.35125 Hayashi, Nakao; Naumkin, Pavel I.; Niizato, Tomoyuki 2 2012 Wave operators to a quadratic nonlinear Klein-Gordon equation in two space dimensions revisited. Zbl 1252.35251 Hayashi, Nakao; Naumkin, Pavel I.; Tonegawa, Satoshi 1 2012 Nonexistence of asymptotically free solutions to nonlinear Schrödinger systems. Zbl 1254.35208 Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I. 1 2012 On a system of nonlinear Schrödinger equations in 2D. Zbl 1249.35305 Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I. 24 2011 Global existence for the cubic nonlinear Schrödinger equation in lower order Sobolev spaces. Zbl 1249.35306 Hayashi, Nakao; Naumkin, Pavel I. 9 2011 Modified wave operators for nonlinear Schrödinger equations in lower order Sobolev spaces. Zbl 1291.35348 Hayashi, Nakao; Wang, Huimei; Naumkin, Pavel I. 6 2011 Quadratic derivative nonlinear Schrödinger equations in two space dimensions. Zbl 1228.35217 Bernal-Vílchis, Fernando; Hayashi, Nakao; Naumkin, Pavel I. 4 2011 On the critical nongauge invariant nonlinear Schrödinger equation. Zbl 1231.35237 Naumkin, Pavel I.; Sánchez-Suárez, Isahi 4 2011 Wave operator for the system of the Dirac-Klein-Gordon equations. Zbl 1221.35246 Hayashi, Nakao; Ikeda, Masahiro; Naumkin, Pavel I. 4 2011 Remark on the global existence and large time asymptotics of solutions for the quadratic NLS. Zbl 1229.35262 Hayashi, Nakao; Naumkin, Pavel I. 3 2011 Asymptotics of solutions to the periodic problem for a Burgers type equation. Zbl 1252.35069 Naumkin, Pavel I.; Rojas-Milla, Cristian Jesus 3 2011 Asymptotics for nonlinear heat equations. Zbl 1225.35028 Hayashi, Nakao; Naumkin, Pavel I. 1 2011 Periodic boundary value problem for nonlinear Sobolev-type equations. Zbl 1271.35051 Kaikina, E. I.; Naumkin, P. I.; Shishmarev, I. A. 7 2010 Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation. Zbl 1193.35012 Hayashi, Nakao; Naumkin, Pavel I.; Rodriguez-Ceballos, Joel A. 2 2010 The initial value problem for the quadratic nonlinear Klein-Gordon equation. Zbl 1201.81048 Hayashi, Nakao; Naumkin, Pavel I. 2 2010 Asymptotics for large time of solutions for cubic nonlinear Schrödinger equations. Zbl 1211.35251 Hayashi, Nakao; Naumkin, Pavel I. 1 2010 Scattering operator for nonlinear Klein-Gordon equations. Zbl 1182.35198 Hayashi, Nakao; Naumkin, Pavel I. 14 2009 Final state problem for the cubic nonlinear Klein-Gordon equation. Zbl 1283.35056 Hayashi, Nakao; Naumkin, Pavel I. 10 2009 Wave operators to a quadratic nonlinear Klein-Gordon equation in two space dimensions. Zbl 1173.35599 Hayashi, Nakao; Naumkin, Pavel I. 6 2009 Large-time asymptotic behaviour of solutions of non-linear Sobolev-type equations. Zbl 1227.35066 Kaikina, E. I.; Naumkin, P. I.; Shishmarev, I. A. 5 2009 Asymptotics of odd solutions for cubic nonlinear Schrödinger equations. Zbl 1156.35089 Hayashi, Nakao; Naumkin, Pavel I. 4 2009 The initial value problem for the cubic nonlinear Klein-Gordon equation. Zbl 1190.35199 Hayashi, Nakao; Naumkin, Pavel I. 66 2008 On the Schrödinger equation with dissipative nonlinearities of derivative type. Zbl 1168.35434 Hayashi, Nakao; Naumkin, Pavel I.; Sunagawa, Hideaki 12 2008 Scattering operator for nonlinear Klein-Gordon equations in higher space dimensions. Zbl 1136.35079 Hayashi, Nakao; Naumkin, Pavel I. 10 2008 Nonlinear scattering for a system of nonlinear Klein-Gordon equations. Zbl 1152.81467 Hayashi, Nakao; Naumkin, Pavel I.; Wibowo, Ratno Bagus Edy 6 2008 Asymptotic properties of solutions to dispersive equation of Schrödinger type. Zbl 1156.35088 Hayashi, Nakao; Naumkin, Pavel I. 4 2008 Asymptotic behavior for a quadratic nonlinear Schrödinger equation. Zbl 1136.35324 Hayashi, Nakao; Naumkin, Pavel I. 1 2008 Nonlinear scattering for a system of one dimensional nonlinear Klein-Gordon equations. Zbl 1172.35454 Hayashi, Nakao; Naumkin, Pavel I. 1 2008 On the critical nonlinear damped wave equation with large initial data. Zbl 1195.35220 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. 15 2007 Large time asymptotics for the BBM-Burgers equation. Zbl 1131.35071 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. 12 2007 Asymptotics for nonlinear damped wave equations with large initial data. Zbl 1132.35447 Hayashi, Nakao; Kaikina, E. I.; Naumkin, P. I. 6 2007 Subcritical nonlinear heat equation. Zbl 1132.35046 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. 2 2007 Modified wave operator for Schrödinger type equations with subcritical dissipative nonlinearities. Zbl 1122.35134 Hayashi, Nakao; Naumkin, Pavel I. 2 2007 Nongauge invariant cubic nonlinear Schrödinger equations. Zbl 1152.35494 Hayashi, Nakao; Naumkin, Pavel I. 2 2007 Asymptotics for a Sobolev type equation with a critical nonlinearity. Zbl 1141.35356 Kaikina, E. I.; Naumkin, P. I.; Shishmarev, I. A. 1 2007 Asymptotics for dissipative nonlinear equations. Zbl 1130.35001 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.; Shishmarev, I. A. 56 2006 Damped wave equation with a critical nonlinearity. Zbl 1081.35104 Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. 31 2006 Domain and range of the modified wave operator for Schrödinger equations with a critical nonlinearity. Zbl 1113.81121 Hayashi, Nakao; Naumkin, Pavel I. 25 2006 Asymptotics for the Korteweg-de Vries-Burgers equation. Zbl 1104.35046 Hayashi, Nakao; Naumkin, Pavel I. 12 2006 Final state problem for Korteweg-de Vries type equations. Zbl 1112.35138 Hayashi, Nakao; Naumkin, Pavel I. 4 2006 On Sobolev-type equations with critical nonlinearities. Zbl 1141.35339 Kaikina, E. I.; Naumkin, P. I.; Shishmarev, I. A. 4 2006 Asymptotics in time of solutions to nonlinear Schrödinger equations in two space dimensions. Zbl 1185.35020 Hayashi, Nakao; Naumkin, Pavel I. 4 2006 Asymptotics for nonlinear nonlocal equations on a half-line. Zbl 1117.35074 Cardiel, Rosa E.; Kaikina, Elena I.; Naumkin, Pavel I. 2 2006 Lower bounds of asymptotics in time of solutions to nonlinear Schrödinger equations in 3D. Zbl 1106.35098 Hayashi, Nakao; Kawahara, Yuichiro; Naumkin, Pavel I. 1 2006 ...and 80 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 597 Authors 110 Naumkin, Pavel Ivanovich 92 Hayashi, Nakao 59 Kaikina, Elena Igorevna 15 Ikeda, Masahiro 14 Nishihara, Kenji 14 Sunagawa, Hideaki 14 Wakasugi, Yuta 13 Hoshino, Gaku 13 Naumkin, Ivan P. 13 Pusateri, Fabio 12 Segata, Jun-ichi 11 Shishmarev, Ilya Andreevich 11 Uriya, Kota 10 Cao, Yang 10 Li, Chunhua 10 Ozawa, Tohru 10 Saut, Jean-Claude 9 Masaki, Satoshi 9 Ogawa, Takayoshi 9 Okamoto, Mamoru 9 Takeda, Hiroshi 8 Aristov, Anatoliĭ Igorevich 8 Korpusov, Maksim Olegovich 8 Sato, Takuya 8 Yin, Jingxue 7 Hirayama, Hiroyuki 7 Kita, Naoyasu 7 Sánchez-Suárez, Isahi 6 Fukuda, Ikki 6 Germain, Pierre 6 Inui, Takahisa 6 Juárez-Campos, Beatriz 6 Miyazaki, Hayato 6 Sasaki, Hironobu 6 Vega, Luis 5 Aliev, Akbar B. 5 Árciga-Alejandre, Martín P. 5 Cazenave, Thierry 5 Chen, Gong 5 Côte, Raphaël 5 Ionescu, Alexandru D. 5 Katayama, Soichiro 5 Kawahara, Yuichiro 5 Kawamoto, Masaki 5 Martel, Yvan 5 Muñoz, Claudio 5 Sobajima, Motohiro 5 Wang, Yuexun 4 Aoki, Kazuki 4 Banica, Valeria 4 Boyd, John Philip 4 Carles, Rémi 4 Carreño-Bolaños, Rafael 4 Cho, Yonggeun 4 Ehrnström, Mats 4 Esquivel, Liliana 4 Georgiev, Vladimir S. 4 Goubet, Olivier 4 Ikehata, Ryo 4 Klein, Christian 4 Kowalczyk, Michał 4 Lührmann, Jonas 4 Mendez Navarro, Jesus A. 4 Özer, Teoman 4 Pastor, Ademir 4 Wada, Takeshi 4 Zhai, Jian 4 Zhao, Huijiang 3 Audiard, Corentin 3 Benitez, Felipe 3 Bernal-Vílchis, Fernando 3 Bona, Jerry Lloyd 3 Di, Huafei 3 Escher, Joachim 3 Figueiredo, Giovany Malcher 3 Fujiwara, Kazumasa 3 Guo, Zihua 3 Hur, Vera Mikyoung 3 Ifrim, Mihaela 3 Kalisch, Henrik 3 Kawakami, Tatsuki 3 Khomrutai, Sujin 3 Kinoshita, Shinya 3 Kirane, Mokhtar 3 Kozhanov, Aleksandr Ivanovich 3 Lindblad, Hans 3 Liu, Jiaqi 3 López, José Luis 3 Mammeri, Youcef 3 Mei, Ming 3 Murphy, Jason 3 Nakamura, Makoto 3 Niizato, Tomoyuki 3 Nishii, Yoshinori 3 Oliveira, José Carlos jun. 3 Pausader, Benoît 3 Pei, Long 3 Pérez, Jhon Jairo 3 Ruiz-Paredes, Hector Francisco 3 Sagawa, Yuji ...and 497 more Authors all top 5 Cited in 172 Serials 65 Journal of Differential Equations 56 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 43 Journal of Mathematical Analysis and Applications 23 Journal of Mathematical Physics 23 NoDEA. Nonlinear Differential Equations and Applications 23 Journal of Evolution Equations 16 Discrete and Continuous Dynamical Systems 14 Communications on Pure and Applied Analysis 12 Communications in Mathematical Physics 12 Journal of Functional Analysis 12 Communications in Partial Differential Equations 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Differential Equations 10 Nonlinearity 10 SIAM Journal on Mathematical Analysis 9 Communications in Contemporary Mathematics 9 Annales Henri Poincaré 8 Mathematical Methods in the Applied Sciences 8 Transactions of the American Mathematical Society 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Physica D 7 Asymptotic Analysis 7 SN Partial Differential Equations and Applications 6 Archive for Rational Mechanics and Analysis 6 Journal of the Mathematical Society of Japan 6 Osaka Journal of Mathematics 6 Computational Mathematics and Mathematical Physics 6 Abstract and Applied Analysis 5 Applicable Analysis 5 Communications on Pure and Applied Mathematics 5 Mathematical Notes 5 Applied Mathematics Letters 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Advances in Mathematics 4 Duke Mathematical Journal 4 Proceedings of the American Mathematical Society 4 Studies in Applied Mathematics 4 Journal of Mathematical Sciences (New York) 4 Acta Mathematica Sinica. English Series 4 Nonlinear Analysis. Real World Applications 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Hyperbolic Differential Equations 4 Complex Variables and Elliptic Equations 4 Discrete and Continuous Dynamical Systems. Series S 4 Analysis & PDE 4 Differential Equations and Applications 4 Journal of Pseudo-Differential Operators and Applications 4 Séminaire Laurent Schwartz. EDP et Applications 3 Computers & Mathematics with Applications 3 Theoretical and Mathematical Physics 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Computation 3 Functional Analysis and its Applications 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Electronic Journal of Differential Equations (EJDE) 3 Doklady Mathematics 3 Forum of Mathematics, Pi 3 Forum of Mathematics, Sigma 3 Mathematics in Applied Sciences and Engineering 2 Journal d’Analyse Mathématique 2 Journal of Statistical Physics 2 Letters in Mathematical Physics 2 Wave Motion 2 Reviews in Mathematical Physics 2 Journal of Geometry and Physics 2 Acta Mathematica 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Hokkaido Mathematical Journal 2 International Journal of Mathematics and Mathematical Sciences 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Mathematics and Computers in Simulation 2 Monatshefte für Mathematik 2 Quarterly of Applied Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Tokyo Journal of Mathematics 2 Numerical Methods for Partial Differential Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Dynamics and Differential Equations 2 Calculus of Variations and Partial Differential Equations 2 Sbornik: Mathematics 2 Izvestiya: Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 Lobachevskii Journal of Mathematics 2 Journal of Nonlinear Mathematical Physics 2 Journal of Applied Mathematics 2 Advances in Difference Equations 2 Boundary Value Problems 2 Communications in Theoretical Physics 2 Advances in Mathematical Physics 2 International Journal of Differential Equations 2 Science China. Mathematics 2 Advances in Nonlinear Analysis 2 Nonlinear Analysis. Theory, Methods & Applications 2 Transactions of the American Mathematical Society. Series B 1 Classical and Quantum Gravity 1 International Journal of Engineering Science 1 Indian Journal of Pure & Applied Mathematics ...and 72 more Serials all top 5 Cited in 31 Fields 692 Partial differential equations (35-XX) 68 Fluid mechanics (76-XX) 44 Quantum theory (81-XX) 40 Dynamical systems and ergodic theory (37-XX) 20 Operator theory (47-XX) 20 Numerical analysis (65-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 18 Optics, electromagnetic theory (78-XX) 17 Real functions (26-XX) 17 Integral equations (45-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Mechanics of deformable solids (74-XX) 9 Probability theory and stochastic processes (60-XX) 7 Ordinary differential equations (34-XX) 6 Functional analysis (46-XX) 6 Systems theory; control (93-XX) 5 Potential theory (31-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Relativity and gravitational theory (83-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) Citations by Year