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Naumkin, Pavel Ivanovich

Author ID: naumkin.pavel-i Recent zbMATH articles by "Naumkin, Pavel Ivanovich"
Published as: Naumkin, Pavel I.; Naumkin, P. I.; Naumkin, Pavel
Homepage: http://www.matmor.unam.mx/es/personal/investigadores/pavelni
External Links: ResearchGate · Math-Net.Ru · dblp
Documents Indexed: 274 Publications since 1982, including 2 Books
Co-Authors: 44 Co-Authors with 255 Joint Publications
624 Co-Co-Authors
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
3 Journal of Pseudo-Differential Operators and Applications
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 Osaka Journal of Mathematics
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 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 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

Publications by Year

Citations contained in zbMATH Open

184 Publications have been cited 1,592 times in 752 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.
153
1998
Nonlinear nonlocal equations in the theory of waves. Zbl 0802.35002
Naumkin, P. I.; Shishmarev, I. A.
100
1994
The initial value problem for the cubic nonlinear Klein-Gordon equation. Zbl 1190.35199
Hayashi, Nakao; Naumkin, Pavel I.
69
2008
Asymptotics for dissipative nonlinear equations. Zbl 1130.35001
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.; Shishmarev, I. A.
65
2006
Damped wave equation with super critical nonlinearities. Zbl 1224.35281
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
53
2004
Large time behavior of solutions for the modified Korteweg-de Vries equation. Zbl 0936.35126
Hayashi, Nakao; Naumkin, Pavel I.
33
1999
The Cauchy problem for a Sobolev-type equation with a power nonlinearity. Zbl 1079.35024
Kaĭkina, E. I.; Naumkin, P. I.; Shishmarev, I. A.
32
2005
Damped wave equation with a critical nonlinearity. Zbl 1081.35104
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
31
2006
Time decay for nonlinear dissipative Schrödinger equations in optical fields. Zbl 1403.35046
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I.
27
2016
On a system of nonlinear Schrödinger equations in 2D. Zbl 1249.35305
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I.
27
2011
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
Large time asymptotics of solutions to the generalized Benjamin-Ono equation. Zbl 0903.35066
Hayashi, Nakao; Naumkin, Pavel I.
24
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.
20
2015
On the modified Korteweg–de Vries equation. Zbl 0994.35107
Hayashi, Nakao; Naumkin, Pavel
18
2001
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
Modified wave operators for nonlinear Schrödinger equations in one and two dimensions. Zbl 1064.35188
Hayashi, Nakao; Naumkin, Pavel I.; Shimomura, Akihiro; Tonegawa, Satoshi
17
2004
Asymptotics of small solutions to nonlinear Schrödinger equations with cubic nonlinearities. Zbl 1018.35070
Hayashi, Nakao; Naumkin, Pavel I.
17
2002
Large time asymptotics of solutions to the generalized Korteweg-de Vries equation. Zbl 0915.35093
Hayashi, Nakao; Naumkin, Pavel I.
16
1998
Quadratic nonlinear Klein-Gordon equation in one dimension. Zbl 1282.35347
Hayashi, Nakao; Naumkin, Pavel I.
16
2012
Scattering theory for the Hartree equation. Zbl 0916.35110
Hayashi, Nakao; Naumkin, Pavel I.; Ozawa, Tohru
15
1998
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 fourth-order nonlinear Schrödinger equation. Zbl 1303.35100
Hayashi, Nakao; Naumkin, Pavel I.
14
2015
Scattering operator for nonlinear Klein-Gordon equations. Zbl 1182.35198
Hayashi, Nakao; Naumkin, Pavel I.
14
2009
Asymptotics for the Korteweg-de Vries-Burgers equation. Zbl 1104.35046
Hayashi, Nakao; Naumkin, Pavel I.
14
2006
Large time asymptotics for the BBM-Burgers equation. Zbl 1131.35071
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
14
2007
Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case. Zbl 1353.35262
Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I.
14
2016
Factorization technique for the modified Korteweg-de Vries equation. Zbl 1358.35118
Hayashi, Nakao; Naumkin, Pavel I.
14
2016
On the quadratic nonlinear Schrödinger equation in three space dimensions. Zbl 1004.35112
Hayashi, Nakao; Naumkin, Pavel I.
13
2000
Large time behavior for the cubic nonlinear Schrödinger equation. Zbl 1012.35079
Hayashi, Nakao; Naumkin, Pavel I.
13
2002
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.
11
1996
Fractional nonlinear Schrödinger equation of order \(\alpha \in ( 0 , 1 )\). Zbl 1440.35310
Naumkin, Pavel I.
11
2020
Self-similar asymptotics for solutions to the intermediate long-wave equation. Zbl 1426.35029
Bernal-Vílchis, Fernando; Naumkin, Pavel I.
11
2019
The step-decay problem for the Korteweg-de Vries-Burgers equation. Zbl 0739.35092
Naumkin, P. I.; Shishmarev, I. A.
10
1991
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
Final state problem for the cubic nonlinear Klein-Gordon equation. Zbl 1283.35056
Hayashi, Nakao; Naumkin, Pavel I.
10
2009
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
Global existence of small solutions to the generalized derivative nonlinear Schrödinger equation. Zbl 0937.35171
Hayashi, Nakao; Miao, Changxing; Naumkin, Pavel I.
9
1999
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 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
Asymptotics for large time of global solutions to the generalized Kadomtsev-Petviashvili equation. Zbl 0936.35158
Hayashi, Nakao; Naumkin, Pavel I.; Saut, Jean-Claude
8
1999
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
Global existence of small solutions for the fourth-order nonlinear Schrödinger equation. Zbl 1367.35148
Aoki, Kazuki; Hayashi, Nakao; Naumkin, Pavel I.
8
2016
The dissipative property of a cubic non-linear Schrödinger equation. Zbl 1317.35240
Naumkin, P. I.
8
2015
Large time asymptotics for the fractional order cubic nonlinear Schrödinger equations. Zbl 1365.35154
Hayashi, Nakao; Naumkin, Pavel I.
8
2017
Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation. Zbl 0934.35163
Hayashi, Nakao; Naumkin, Pavel I.
7
1998
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
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.
7
2001
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
Time decay of small solutions to quadratic nonlinear Schrödinger equations in 3D. Zbl 1031.35134
Hayashi, Nakao; Mizumachi, Tetsu; Naumkin, Pavel I.
7
2003
Periodic boundary value problem for nonlinear Sobolev-type equations. Zbl 1271.35051
Kaikina, E. I.; Naumkin, P. I.; Shishmarev, I. A.
7
2010
Landau-Ginzburg type equations in the subcritical case. Zbl 1020.35103
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
7
2003
Modified wave operators for nonlinear Schrödinger equations in lower order Sobolev spaces. Zbl 1291.35348
Hayashi, Nakao; Wang, Huimei; Naumkin, Pavel I.
7
2011
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.
6
2016
Large time asymptotics for the reduced Ostrovsky equation. Zbl 1319.35190
Hayashi, Nakao; Naumkin, Pavel I.
6
2015
Large time behavior of solutions to the Landau-Ginzburg type equations. Zbl 1142.35456
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
6
2001
Asymptotics of solutions to the generalized Ostrovsky equation. Zbl 1286.35077
Hayashi, Nakao; Naumkin, Pavel I.; Niizato, Tomoyuki
6
2013
Nonlinear scattering for a system of nonlinear Klein-Gordon equations. Zbl 1152.81467
Hayashi, Nakao; Naumkin, Pavel I.; Wibowo, Ratno Bagus Edy
6
2008
Periodic problem for a model nonlinear evolution equation. Zbl 1057.35055
Kaikina, Elena I.; Naumkin, Pavel I.; Shishmarev, Ilya A.
6
2002
Wave operators to a quadratic nonlinear Klein-Gordon equation in two space dimensions. Zbl 1173.35599
Hayashi, Nakao; Naumkin, Pavel I.
6
2009
Asymptotics for nonlinear damped wave equations with large initial data. Zbl 1132.35447
Hayashi, Nakao; Kaikina, E. I.; Naumkin, P. I.
6
2007
Modified scattering operator for the derivative nonlinear Schrödinger equation. Zbl 1294.35137
Guo, Zihua; Hayashi, Nakao; Lin, Yiquan; Naumkin, Pavel I.
6
2013
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
Solution asymptotics at large times for the nonlinear Schrödinger equation. Zbl 0894.35103
Naumkin, P. I.
5
1997
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 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
Asymptotic relationship as \(t \to \infty\) between solutions to some nonlinear equations. I. Zbl 0846.35121
Naumkin, P. I.; Shishmarev, I. A.
5
1994
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 asymptotics for the Kadomtsev-Petviashvili equation. Zbl 1318.35098
Hayashi, Nakao; Naumkin, Pavel I.
5
2014
Nonexistence of the usual scattering states for the generalized Ostrovsky-Hunter equation. Zbl 1338.35301
Hayashi, Nakao; Naumkin, Pavel I.; Niizato, Tomoyuki
5
2014
On the critical nongauge invariant nonlinear Schrödinger equation. Zbl 1231.35237
Naumkin, Pavel I.; Sánchez-Suárez, Isahi
5
2011
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
Analytic smoothing effects for some derivative nonlinear Schrödinger equations. Zbl 0982.35108
Hayashi, Nakao; Naumkin, Pavel I.; Pipolo, Patrick-Nicolas
5
2000
Asymptotic properties of solutions to dispersive equation of Schrödinger type. Zbl 1156.35088
Hayashi, Nakao; Naumkin, Pavel I.
5
2008
Global existence of solutions to nonlinear dispersive wave equations. Zbl 1265.35331
Hayashi, Nakao; Kobayashi, Seishirou; Naumkin, Pavel I.
5
2012
Large time asymptotics for the fractional nonlinear Schrödinger equation. Zbl 1439.35061
Hayashi, Nakao; Naumkin, Pavel I.
5
2020
Time decay estimates for solutions of the Cauchy problem for the modified Kawahara equation. Zbl 1416.35042
Naumkin, P. I.
5
2019
Fractional nonlinear Schrödinger equation. Zbl 1429.35202
Mendez-Navarro, Jesus A.; Naumkin, Pavel I.; Sánchez-Suárez, Isahi
5
2019
Asymptotic behavior of solutions to nonlinear equations with dissipation for large \(x\) and \(t\). Zbl 0805.35012
Naumkin, P. I.
4
1992
Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation revisited. Zbl 0948.35116
Hayashi, Nakao; Naumkin, Pavel I.
4
1997
Large time behavior of solutions to the generalized derivative nonlinear Schrödinger equation. Zbl 0952.35132
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
4
1999
Global existence for two dimensional quadratic derivative nonlinear Schrödinger equations. Zbl 1247.35145
Hayashi, Nakao; Naumkin, Pavel I.
4
2012
Quadratic derivative nonlinear Schrödinger equations in two space dimensions. Zbl 1228.35217
Bernal-Vílchis, Fernando; Hayashi, Nakao; Naumkin, Pavel I.
4
2011
On the modified intermediate long-wave equation. Zbl 1403.35052
Naumkin, Pavel I.; Sánchez-Suárez, Isahi
4
2018
Final state problem for Korteweg-de Vries type equations. Zbl 1112.35138
Hayashi, Nakao; Naumkin, Pavel I.
4
2006
Asymptotics of odd solutions for cubic nonlinear Schrödinger equations. Zbl 1156.35089
Hayashi, Nakao; Naumkin, Pavel I.
4
2009
On Sobolev-type equations with critical nonlinearities. Zbl 1141.35339
Kaikina, E. I.; Naumkin, P. I.; Shishmarev, I. A.
4
2006
Cubic derivative nonlinear Schrödinger equations. Zbl 0964.35145
Naumkin, Pavel I.
4
2000
Long-time asymptotic behaviour of the solutions of Whitham’s equation. Zbl 0974.45501
Naumkin, P. I.; Shishmarev, I. A.
4
1990
Asymptotic relations between solutions to various nonlinear equations at large time. II. Zbl 1126.35356
Naumkin, P. I.; Shishmarev, I. A.
4
1994
Asymptotics of solutions to the periodic problem for a Burgers type equation. Zbl 1252.35069
Naumkin, Pavel I.; Rojas-Milla, Cristian Jesus
4
2011
Asymptotics for nonlinear dissipative equations in the super critical case. Zbl 1039.35083
Cardiel, Rosa E.; Naumkin, Pavel I.
4
2002
Modified scattering for the higher-order nonlinear Schrödinger equation with the Hartree-type nonlinearity. Zbl 1504.35483
Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I.
1
2023
Modified scattering for the fractional nonlinear Schrödinger equation with \(\alpha \in (\frac{3}{2},2)\). Zbl 1529.35469
Hayashi, Nakao; Naumkin, Pavel I.; Sánchez-Suárez, Isahi
1
2023
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.
4
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
Modified scattering for higher-order nonlinear Schrödinger equation in one space dimension. Zbl 1486.35370
Hayashi, Nakao; Naumkin, Pavel I.
1
2021
Large time asymptotics for the higher-order nonlinear nonlocal Schrödinger equation. Zbl 1458.35059
Juarez-Campos, Beatriz; 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.
11
2020
Large time asymptotics for the fractional nonlinear Schrödinger equation. Zbl 1439.35061
Hayashi, Nakao; Naumkin, Pavel I.
5
2020
Higher-order nonlinear Schrödinger equation in 2D case. Zbl 1437.35629
Hayashi, Nakao; Naumkin, Pavel I.
4
2020
KdV type asymptotics for solutions to higher-order nonlinear Schrödinger equations. Zbl 1441.35221
Naumkin, Pavel I.; Sanchez-Suarez, Isahi
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
Self-similar asymptotics for solutions to the intermediate long-wave equation. Zbl 1426.35029
Bernal-Vílchis, Fernando; Naumkin, Pavel I.
11
2019
Time decay estimates for solutions of the Cauchy problem for the modified Kawahara equation. Zbl 1416.35042
Naumkin, P. I.
5
2019
Fractional nonlinear Schrödinger equation. Zbl 1429.35202
Mendez-Navarro, Jesus A.; Naumkin, Pavel I.; Sánchez-Suárez, Isahi
5
2019
Dissipative character of asymptotics for the nonlinear fractional Schrödinger equation. Zbl 1435.35356
Naumkin, Pavel I.
3
2019
Asymptotics of solutions of a modified Whitham equation with surface tension. Zbl 1414.35032
Naumkin, P. I.
3
2019
On the modified intermediate long-wave equation. Zbl 1403.35052
Naumkin, Pavel I.; Sánchez-Suárez, Isahi
4
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.
4
2018
Asymptotics for the modified Boussinesq equation in one space dimension. Zbl 1387.35491
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
2
2018
Critical nonlinear Schrödinger equations in higher space dimensions. Zbl 1408.35173
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I.
1
2018
Factorization techniques for the nonlinear model of quasi-stationary processes in crystalline semiconductors. Zbl 1414.35221
Juarez-Campos, Beatriz; Kaikina, Elena I.; Naumkin, Pavel I.; Ruiz-Paredes, Hector F.
1
2018
Large time asymptotics for the fractional order cubic nonlinear Schrödinger equations. Zbl 1365.35154
Hayashi, Nakao; Naumkin, Pavel I.
8
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.
27
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.
14
2016
Factorization technique for the modified Korteweg-de Vries equation. Zbl 1358.35118
Hayashi, Nakao; Naumkin, Pavel I.
14
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.
6
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.
20
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.
8
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
Nonlinear dispersive wave equations in two space dimensions. Zbl 1331.35317
Hayashi, Nakao; Kobayashi, Seishirou; Naumkin, Pavel I.
1
2015
Large time asymptotics for the Kadomtsev-Petviashvili equation. Zbl 1318.35098
Hayashi, Nakao; Naumkin, Pavel I.
5
2014
Nonexistence of the usual scattering states for the generalized Ostrovsky-Hunter equation. Zbl 1338.35301
Hayashi, Nakao; Naumkin, Pavel I.; Niizato, Tomoyuki
5
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
Asymptotics of solutions to the generalized Ostrovsky equation. Zbl 1286.35077
Hayashi, Nakao; Naumkin, Pavel I.; Niizato, Tomoyuki
6
2013
Modified scattering operator for the derivative nonlinear Schrödinger equation. Zbl 1294.35137
Guo, Zihua; Hayashi, Nakao; Lin, Yiquan; Naumkin, Pavel I.
6
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.
4
2013
Scattering problem for quadratic nonlinear Klein-Gordon equation in 2D. Zbl 1273.35251
Hayashi, Nakao; Naumkin, Pavel I.
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.
16
2012
Global existence of solutions to nonlinear dispersive wave equations. Zbl 1265.35331
Hayashi, Nakao; Kobayashi, Seishirou; Naumkin, Pavel I.
5
2012
Global existence for two dimensional quadratic derivative nonlinear Schrödinger equations. Zbl 1247.35145
Hayashi, Nakao; Naumkin, Pavel I.
4
2012
Nonexistence of asymptotically free solutions to nonlinear Schrödinger systems. Zbl 1254.35208
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I.
3
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
On a system of nonlinear Schrödinger equations in 2D. Zbl 1249.35305
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I.
27
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.
7
2011
On the critical nongauge invariant nonlinear Schrödinger equation. Zbl 1231.35237
Naumkin, Pavel I.; Sánchez-Suárez, Isahi
5
2011
Quadratic derivative nonlinear Schrödinger equations in two space dimensions. Zbl 1228.35217
Bernal-Vílchis, Fernando; Hayashi, Nakao; Naumkin, Pavel I.
4
2011
Asymptotics of solutions to the periodic problem for a Burgers type equation. Zbl 1252.35069
Naumkin, Pavel I.; Rojas-Milla, Cristian Jesus
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 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.
3
2010
The initial value problem for the quadratic nonlinear Klein-Gordon equation. Zbl 1201.81048
Hayashi, Nakao; Naumkin, Pavel I.
3
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.
69
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.
5
2008
Asymptotic behavior for a quadratic nonlinear Schrödinger equation. Zbl 1136.35324
Hayashi, Nakao; Naumkin, Pavel I.
2
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.
14
2007
Asymptotics for nonlinear damped wave equations with large initial data. Zbl 1132.35447
Hayashi, Nakao; Kaikina, E. I.; Naumkin, P. I.
6
2007
Modified wave operator for Schrödinger type equations with subcritical dissipative nonlinearities. Zbl 1122.35134
Hayashi, Nakao; Naumkin, Pavel I.
2
2007
Subcritical nonlinear heat equation. Zbl 1132.35046
Hayashi, Nakao; Kaikina, Elena I.; 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.
65
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.
14
2006
Final state problem for Korteweg-de Vries type equations. Zbl 1112.35138
Hayashi, Nakao; Naumkin, Pavel I.
4
2006
...and 84 more Documents
all top 5

Cited by 650 Authors

113 Naumkin, Pavel Ivanovich
94 Hayashi, Nakao
59 Kaikina, Elena Igorevna
15 Ikeda, Masahiro
14 Nishihara, Kenji
14 Pusateri, Fabio
14 Sunagawa, Hideaki
14 Wakasugi, Yuta
13 Hoshino, Gaku
13 Naumkin, Ivan P.
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 Aristov, Anatoliĭ Igorevich
9 Korpusov, Maksim Olegovich
9 Masaki, Satoshi
9 Ogawa, Takayoshi
9 Okamoto, Mamoru
9 Sato, Takuya
9 Takeda, Hiroshi
8 Kita, Naoyasu
8 Sánchez-Suárez, Isahi
8 Yin, Jingxue
7 Fukuda, Ikki
7 Hirayama, Hiroyuki
7 Juárez-Campos, Beatriz
7 Muñoz, Claudio
6 Germain, Pierre
6 Inui, Takahisa
6 Miyazaki, Hayato
6 Sasaki, Hironobu
6 Vega, Luis
5 Aliev, Akbar B.
5 Árciga-Alejandre, Martín P.
5 Carreño-Bolaños, Rafael
5 Cazenave, Thierry
5 Chen, Gong
5 Côte, Raphaël
5 Ehrnström, Mats
5 Ikehata, Ryo
5 Ionescu, Alexandru D.
5 Katayama, Soichiro
5 Kawahara, Yuichiro
5 Kawamoto, Masaki
5 Lührmann, Jonas
5 Martel, Yvan
5 Sobajima, Motohiro
5 Wang, Yuexun
4 Aoki, Kazuki
4 Banica, Valeria
4 Boyd, John Philip
4 Carles, Rémi
4 Cho, Yonggeun
4 Esquivel, Liliana
4 Georgiev, Vladimir S.
4 Goubet, Olivier
4 Klein, Christian
4 Kowalczyk, Michał
4 Mendez Navarro, Jesus A.
4 Özer, Teoman
4 Pastor, Ademir
4 Pei, Long
4 Wada, Takeshi
4 Yan, Wei
4 Zhai, Jian
4 Zhao, Huijiang
3 Audiard, Corentin
3 Benitez, Felipe
3 Bernal-Vílchis, Fernando
3 Bona, Jerry Lloyd
3 Correia, Simão
3 Di, Huafei
3 Escher, Joachim
3 Figueiredo, Giovany Malcher
3 Fujiwara, Kazumasa
3 Guo, Boling
3 Guo, Zihua
3 Han, Zheng
3 Hormann, Gunther
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
...and 550 more Authors
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Cited in 179 Serials

67 Journal of Differential Equations
58 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
43 Journal of Mathematical Analysis and Applications
24 NoDEA. Nonlinear Differential Equations and Applications
24 Journal of Evolution Equations
23 Journal of Mathematical Physics
17 Discrete and Continuous Dynamical Systems
14 Communications on Pure and Applied Analysis
13 Nonlinearity
13 Journal of Functional Analysis
12 Communications in Mathematical Physics
12 Communications in Partial Differential Equations
11 Mathematical Methods in the Applied Sciences
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
11 Differential Equations
10 SIAM Journal on Mathematical Analysis
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Communications in Contemporary Mathematics
9 Annales Henri Poincaré
8 Transactions of the American Mathematical Society
7 Archive for Rational Mechanics and Analysis
7 Osaka Journal of Mathematics
7 Studies in Applied Mathematics
7 Physica D
7 Asymptotic Analysis
7 Computational Mathematics and Mathematical Physics
7 SN Partial Differential Equations and Applications
6 Communications on Pure and Applied Mathematics
6 Journal of the Mathematical Society of Japan
6 Abstract and Applied Analysis
5 Applicable Analysis
5 Mathematical Notes
5 Applied Mathematics Letters
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Journal of Mathematical Sciences (New York)
5 Nonlinear Analysis. Real World Applications
5 Journal of Pseudo-Differential Operators and Applications
4 Advances in Mathematics
4 Duke Mathematical Journal
4 Proceedings of the American Mathematical Society
4 Electronic Journal of Differential Equations (EJDE)
4 Acta Mathematica Sinica. English Series
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 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 Monatshefte für Mathematik
3 Numerical Methods for Partial Differential Equations
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Journal of Dynamics and Differential Equations
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 Physics Letters. A
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 Memoirs of the American Mathematical Society
2 Quarterly of Applied Mathematics
2 Tôhoku Mathematical Journal. Second Series
2 Tokyo Journal of Mathematics
2 Moscow University Computational Mathematics and Cybernetics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
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 Matematicheskie Zametki SVFU
...and 79 more Serials

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