Carreño-Bolaños, Rafael; Naumkin, Pavel I. Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation with convective nonlinearity. (English) Zbl 07816732 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 242, Article ID 113503, 7 p. (2024). MSC: 35L71 35L20 35B40 PDFBibTeX XMLCite \textit{R. Carreño-Bolaños} and \textit{P. I. Naumkin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 242, Article ID 113503, 7 p. (2024; Zbl 07816732) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Modified scattering for the fractional mKdV equation. (English) Zbl 1523.35044 J. Evol. Equ. 23, No. 3, Paper No. 61, 37 p. (2023). MSC: 35B40 35Q53 35R11 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, J. Evol. Equ. 23, No. 3, Paper No. 61, 37 p. (2023; Zbl 1523.35044) Full Text: DOI
Carreño-Bolaños, Rafael; Naumkin, Pavel I. Large time asymptotics for the fractional modified Korteweg-de Vries equation of order \(\alpha \in \left[ 4,5\right)\). (English) Zbl 1518.35079 J. Pseudo-Differ. Oper. Appl. 14, No. 3, Paper No. 42, 28 p. (2023). MSC: 35B40 35Q53 35R11 PDFBibTeX XMLCite \textit{R. Carreño-Bolaños} and \textit{P. I. Naumkin}, J. Pseudo-Differ. Oper. Appl. 14, No. 3, Paper No. 42, 28 p. (2023; Zbl 1518.35079) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Large time asymptotics of solutions to the periodic problem for the quadratic nonlinear Schrödinger equation. (English) Zbl 1512.35078 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 2, Paper No. 23, 9 p. (2023). MSC: 35B40 35Q55 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 2, Paper No. 23, 9 p. (2023; Zbl 1512.35078) Full Text: DOI
Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I. Modified scattering for the higher-order nonlinear Schrödinger equation with the Hartree-type nonlinearity. (English) Zbl 1504.35483 J. Evol. Equ. 23, No. 1, Paper No. 1, 54 p. (2023). MSC: 35Q55 35Q41 35B40 35P25 PDFBibTeX XMLCite \textit{N. Hayashi} et al., J. Evol. Equ. 23, No. 1, Paper No. 1, 54 p. (2023; Zbl 1504.35483) Full Text: DOI
Naumkin, Pavel I.; Villela-Aguilar, José de Jesús Asymptotics of solutions to periodic problem for the Korteweg-de Vries-Burgers equation. (English) Zbl 07779120 Stud. Appl. Math. 149, No. 2, 523-536 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35B10 35B40 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{J. de J. Villela-Aguilar}, Stud. Appl. Math. 149, No. 2, 523--536 (2022; Zbl 07779120) Full Text: DOI OA License
Hayashi, Nakao; Naumkin, Pavel I.; Sánchez-Suárez, Isahi Large time asymptotics for the fractional modified Korteweg-de Vries equation with \(\alpha \in \left(2,4\right)\). (English) Zbl 1501.35059 SN Partial Differ. Equ. Appl. 3, No. 6, Paper No. 76, 28 p. (2022). MSC: 35B40 35Q53 35R11 PDFBibTeX XMLCite \textit{N. Hayashi} et al., SN Partial Differ. Equ. Appl. 3, No. 6, Paper No. 76, 28 p. (2022; Zbl 1501.35059) Full Text: DOI
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.; Ogawa, Takayoshi Nonlinear Neumann boundary value problem for semilinear heat equations with critical power nonlinearities. (English) Zbl 1498.35536 Asymptotic Anal. 130, No. 1-2, 261-295 (2022). MSC: 35Q79 35K05 35K58 35A01 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Asymptotic Anal. 130, No. 1--2, 261--295 (2022; Zbl 1498.35536) Full Text: DOI
Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I. Asymptotics for the fractional nonlinear Schrödinger equation with \(2<\alpha <\frac{5}{2}\). (English) Zbl 1490.35041 J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 30, 55 p. (2022). MSC: 35B40 35Q55 35R11 PDFBibTeX XMLCite \textit{N. Hayashi} et al., J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 30, 55 p. (2022; Zbl 1490.35041) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Modified scattering for higher-order nonlinear Schrödinger equation in one space dimension. (English) Zbl 1486.35370 J. Evol. Equ. 21, No. 4, 4469-4490 (2021). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 35B40 35S16 35R07 35A01 35A02 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, J. Evol. Equ. 21, No. 4, 4469--4490 (2021; Zbl 1486.35370) Full Text: DOI
Naumkin, Pavel I.; Sánchez-Suárez, Isahi Asymptotics for the higher-order derivative nonlinear Schrödinger equation. (English) Zbl 1476.35245 Commun. Pure Appl. Anal. 20, No. 4, 1447-1478 (2021). Reviewer: Xiaoming He (Beijing) MSC: 35Q55 35B40 35Q35 35A01 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. Sánchez-Suárez}, Commun. Pure Appl. Anal. 20, No. 4, 1447--1478 (2021; Zbl 1476.35245) Full Text: DOI
Carreño-Bolaños, Rafael; Juarez-Campos, Beatriz; Naumkin, Pavel I. Periodic problem for the nonlinear damped wave equation with convective nonlinearity. (English) Zbl 1452.35103 Stud. Appl. Math. 145, No. 1, 137-149 (2020). MSC: 35L71 35L20 35B40 35B45 PDFBibTeX XMLCite \textit{R. Carreño-Bolaños} et al., Stud. Appl. Math. 145, No. 1, 137--149 (2020; Zbl 1452.35103) Full Text: DOI
Naumkin, Pavel I.; Perez, Jhon J. Modified KdV equation with higher order dispersion terms. (English) Zbl 1434.35115 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 1, Paper No. 1, 35 p. (2020). MSC: 35Q35 35B40 35C06 35C08 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{J. J. Perez}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 1, Paper No. 1, 35 p. (2020; Zbl 1434.35115) Full Text: DOI
Naumkin, Pavel I. On the factorization technique for the dispersive nonlinear equations. (English) Zbl 1435.35064 Kato, Keiichi (ed.) et al., Asymptotic analysis for nonlinear dispersive and wave equations. Proceedings of the international conference on asymptotic analysis for nonlinear dispersive and wave equations, Osaka University, Osaka, Japan, September 6–9, 2014. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 81, 323-350 (2019). MSC: 35B40 35Q55 35P25 PDFBibTeX XMLCite \textit{P. I. Naumkin}, Adv. Stud. Pure Math. 81, 323--350 (2019; Zbl 1435.35064) Full Text: DOI Euclid
Bernal-Vílchis, Fernando; Naumkin, Pavel I. Self-similar asymptotics for solutions to the intermediate long-wave equation. (English) Zbl 1426.35029 J. Evol. Equ. 19, No. 3, 729-770 (2019). MSC: 35B40 35Q35 35C06 35R09 PDFBibTeX XMLCite \textit{F. Bernal-Vílchis} and \textit{P. I. Naumkin}, J. Evol. Equ. 19, No. 3, 729--770 (2019; Zbl 1426.35029) Full Text: DOI
Naumkin, P. I. Time decay estimates for solutions of the Cauchy problem for the modified Kawahara equation. (English. Russian original) Zbl 1416.35042 Sb. Math. 210, No. 5, 693-730 (2019); translation from Mat. Sb. 210, No. 5, 72-108 (2019). MSC: 35B40 35Q53 PDFBibTeX XMLCite \textit{P. I. Naumkin}, Sb. Math. 210, No. 5, 693--730 (2019; Zbl 1416.35042); translation from Mat. Sb. 210, No. 5, 72--108 (2019) Full Text: DOI
Naumkin, P. I. Asymptotics of solutions of a modified Whitham equation with surface tension. (English. Russian original) Zbl 1414.35032 Izv. Math. 83, No. 2, 361-390 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 2, 174-203 (2019). MSC: 35B40 35Q35 76B15 35S10 PDFBibTeX XMLCite \textit{P. I. Naumkin}, Izv. Math. 83, No. 2, 361--390 (2019; Zbl 1414.35032); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 2, 174--203 (2019) Full Text: DOI
Juarez-Campos, Beatriz; Kaikina, Elena I.; Naumkin, Pavel I.; Ruiz-Paredes, Hector F. Factorization techniques for the nonlinear model of quasi-stationary processes in crystalline semiconductors. (English) Zbl 1414.35221 Differ. Equ. Appl. 10, No. 4, 341-367 (2018). MSC: 35Q60 35B40 35K70 35B45 78A40 PDFBibTeX XMLCite \textit{B. Juarez-Campos} et al., Differ. Equ. Appl. 10, No. 4, 341--367 (2018; Zbl 1414.35221) Full Text: DOI
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I. Critical nonlinear Schrödinger equations in higher space dimensions. (English) Zbl 1408.35173 J. Math. Soc. Japan 70, No. 4, 1475-1492 (2018). MSC: 35Q55 35B40 35A01 PDFBibTeX XMLCite \textit{N. Hayashi} et al., J. Math. Soc. Japan 70, No. 4, 1475--1492 (2018; Zbl 1408.35173) Full Text: DOI Euclid
Hayashi, Nakao; Naumkin, Pavel I.; Sánchez-Suárez, Isahi Asymptotics for the modified Whitham equation. (English) Zbl 1397.35210 Commun. Pure Appl. Anal. 17, No. 4, 1407-1448 (2018). MSC: 35Q35 35Q55 35B40 35Q53 76B55 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Commun. Pure Appl. Anal. 17, No. 4, 1407--1448 (2018; Zbl 1397.35210) Full Text: DOI
Juárez-Campos, Beatriz; Kaikina, Elena I.; Naumkin, Pavel I.; Ruiz-Paredes, Héctor Francisco High-speed transmission in long-haul electrical systems. (English) Zbl 1487.35188 Int. J. Differ. Equ. 2018, Article ID 8236942, 13 p. (2018). MSC: 35F25 35B40 78A25 PDFBibTeX XMLCite \textit{B. Juárez-Campos} et al., Int. J. Differ. Equ. 2018, Article ID 8236942, 13 p. (2018; Zbl 1487.35188) Full Text: DOI
Naumkin, Pavel I.; Sánchez-Suárez, Isahi On the modified intermediate long-wave equation. (English) Zbl 1403.35052 Nonlinearity 31, No. 3, 980-1008 (2018). MSC: 35B40 35Q35 35Q53 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. Sánchez-Suárez}, Nonlinearity 31, No. 3, 980--1008 (2018; Zbl 1403.35052) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Asymptotics for the modified Boussinesq equation in one space dimension. (English) Zbl 1387.35491 Adv. Differ. Equ. 23, No. 3-4, 239-294 (2018). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q35 35B40 76B15 35B30 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Adv. Differ. Equ. 23, No. 3--4, 239--294 (2018; Zbl 1387.35491) Full Text: Euclid
Hayashi, Nakao; Naumkin, Pavel I. Asymptotic behavior of solutions to fourth-order nonlinear Schrödinger equations. (English) Zbl 1399.35330 Adv. Math., Beijing 46, No. 6, 801-818 (2017). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Adv. Math., Beijing 46, No. 6, 801--818 (2017; Zbl 1399.35330) Full Text: DOI
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I. Upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations. (English) Zbl 1372.35284 Commun. Pure Appl. Anal. 16, No. 6, 2089-2104 (2017). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Commun. Pure Appl. Anal. 16, No. 6, 2089--2104 (2017; Zbl 1372.35284) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Large time asymptotics for the fractional order cubic nonlinear Schrödinger equations. (English) Zbl 1365.35154 Ann. Henri Poincaré 18, No. 3, 1025-1054 (2017). Reviewer: Alessandro Selvitella (Hamilton) MSC: 35Q55 35R11 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Ann. Henri Poincaré 18, No. 3, 1025--1054 (2017; Zbl 1365.35154) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Damped wave equation with a critical nonlinearity in higher space dimensions. (English) Zbl 1368.35187 J. Math. Anal. Appl. 446, No. 1, 801-822 (2017). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L71 35L15 35B45 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, J. Math. Anal. Appl. 446, No. 1, 801--822 (2017; Zbl 1368.35187) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Factorization technique for the modified Korteweg-de Vries equation. (English) Zbl 1358.35118 SUT J. Math. 52, No. 1, 49-95 (2016). MSC: 35Q35 81Q05 35B40 35C06 35Q53 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, SUT J. Math. 52, No. 1, 49--95 (2016; Zbl 1358.35118)
Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I. Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case. (English) Zbl 1353.35262 J. Differ. Equations 261, No. 9, 5144-5179 (2016). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} et al., J. Differ. Equations 261, No. 9, 5144--5179 (2016; Zbl 1353.35262) Full Text: DOI
Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I. Scattering of solutions to the fourth-order nonlinear Schrödinger equation. (English) Zbl 1345.35101 Commun. Contemp. Math. 18, No. 3, Article ID 1550035, 24 p. (2016). Reviewer: Thomas J. Bartsch (Gießen) MSC: 35Q55 35Q35 35Q51 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Commun. Contemp. Math. 18, No. 3, Article ID 1550035, 24 p. (2016; Zbl 1345.35101) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Factorization technique for the fourth-order nonlinear Schrödinger equation. (English) Zbl 1327.35351 Z. Angew. Math. Phys. 66, No. 5, 2343-2377 (2015). MSC: 35Q55 35Q35 35Q51 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Z. Angew. Math. Phys. 66, No. 5, 2343--2377 (2015; Zbl 1327.35351) Full Text: DOI
Naumkin, P. I. The dissipative property of a cubic non-linear Schrödinger equation. (English. Russian original) Zbl 1317.35240 Izv. Math. 79, No. 2, 346-374 (2015); translation from Izv. Ross. Akad. Nauk, Ser. Mat 79, No. 2, 137-166 (2015). MSC: 35Q55 35C20 35K15 35B40 35B41 PDFBibTeX XMLCite \textit{P. I. Naumkin}, Izv. Math. 79, No. 2, 346--374 (2015; Zbl 1317.35240); translation from Izv. Ross. Akad. Nauk, Ser. Mat 79, No. 2, 137--166 (2015) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Large time asymptotics for the reduced Ostrovsky equation. (English) Zbl 1319.35190 Commun. Math. Phys. 335, No. 2, 713-738 (2015). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q35 35B40 35A01 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Commun. Math. Phys. 335, No. 2, 713--738 (2015; Zbl 1319.35190) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Global existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrödinger equation in the critical case. (English) Zbl 1311.35285 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 116, 112-131 (2015). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 116, 112--131 (2015; Zbl 1311.35285) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Large time asymptotics for the fourth-order nonlinear Schrödinger equation. (English) Zbl 1303.35100 J. Differ. Equations 258, No. 3, 880-905 (2015). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, J. Differ. Equations 258, No. 3, 880--905 (2015; Zbl 1303.35100) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. On the new critical exponent for the nonlinear Schrödinger equations. (English) Zbl 1297.35216 NoDEA, Nonlinear Differ. Equ. Appl. 21, No. 3, 415-440 (2014). MSC: 35Q55 35B40 35B33 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, NoDEA, Nonlinear Differ. Equ. Appl. 21, No. 3, 415--440 (2014; Zbl 1297.35216) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Subcritical quadratic nonlinear Schrödinger equation. (English) Zbl 1231.35233 Commun. Contemp. Math. 13, No. 6, 969-1007 (2011). MSC: 35Q55 35B40 35A02 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Commun. Contemp. Math. 13, No. 6, 969--1007 (2011; Zbl 1231.35233) Full Text: DOI
Naumkin, Pavel I.; Sánchez-Suárez, Isahi On the critical nongauge invariant nonlinear Schrödinger equation. (English) Zbl 1231.35237 Discrete Contin. Dyn. Syst. 30, No. 3, 807-834 (2011). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35B40 35Q41 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. Sánchez-Suárez}, Discrete Contin. Dyn. Syst. 30, No. 3, 807--834 (2011; Zbl 1231.35237) Full Text: DOI
Cardiel-Cervantes, Rosa E.; Naumkin, Pavel I. Neumann problem for a nonlinear nonlocal equation on a half-line. (English) Zbl 1192.35195 SUT J. Math. 45, No. 1, 1-23 (2009). MSC: 35S10 35Q35 35Q40 35B40 35C20 PDFBibTeX XMLCite \textit{R. E. Cardiel-Cervantes} and \textit{P. I. Naumkin}, SUT J. Math. 45, No. 1, 1--23 (2009; Zbl 1192.35195)
Hayashi, Nakao; Naumkin, Pavel I. Scattering operator for nonlinear Klein-Gordon equations. (English) Zbl 1182.35198 Commun. Contemp. Math. 11, No. 5, 771-781 (2009). MSC: 35Q53 35L70 35A22 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Commun. Contemp. Math. 11, No. 5, 771--781 (2009; Zbl 1182.35198) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Asymptotics of odd solutions of quadratic nonlinear Schrödinger equations. (English) Zbl 1177.35219 J. Math. Anal. Appl. 359, No. 1, 146-158 (2009). MSC: 35Q55 35B40 35A35 81Q05 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, J. Math. Anal. Appl. 359, No. 1, 146--158 (2009; Zbl 1177.35219) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Wave operators to a quadratic nonlinear Klein-Gordon equation in two space dimensions. (English) Zbl 1173.35599 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 9, 3826-3833 (2009). MSC: 35L70 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 9, 3826--3833 (2009; Zbl 1173.35599) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Asymptotics of odd solutions for cubic nonlinear Schrödinger equations. (English) Zbl 1156.35089 J. Differ. Equations 246, No. 4, 1703-1722 (2009). MSC: 35Q55 35B40 35C20 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, J. Differ. Equations 246, No. 4, 1703--1722 (2009; Zbl 1156.35089) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. The initial value problem for the cubic nonlinear Klein-Gordon equation. (English) Zbl 1190.35199 Z. Angew. Math. Phys. 59, No. 6, 1002-1028 (2008). MSC: 35Q53 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Z. Angew. Math. Phys. 59, No. 6, 1002--1028 (2008; Zbl 1190.35199) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Asymptotic properties of solutions to dispersive equation of Schrödinger type. (English) Zbl 1156.35088 J. Math. Soc. Japan 60, No. 3, 631-652 (2008). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, J. Math. Soc. Japan 60, No. 3, 631--652 (2008; Zbl 1156.35088) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Nongauge invariant cubic nonlinear Schrödinger equations. (English) Zbl 1152.35494 Pac. J. Appl. Math. 1, No. 1, 27-43 (2007). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Pac. J. Appl. Math. 1, No. 1, 27--43 (2007; Zbl 1152.35494)
Hayashi, Nakao; Naumkin, Pavel I. Modified wave operator for Schrödinger type equations with subcritical dissipative nonlinearities. (English) Zbl 1122.35134 Inverse Probl. Imaging 1, No. 2, 391-398 (2007). MSC: 35Q55 35B40 65N21 35R30 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Inverse Probl. Imaging 1, No. 2, 391--398 (2007; Zbl 1122.35134) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Existence of asymptotically free solutions for quadratic nonlinear Schrödinger equations in 3D. (English) Zbl 1123.35070 Cubo 9, No. 1, 27-37 (2007). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Cubo 9, No. 1, 27--37 (2007; Zbl 1123.35070)
Hayashi, Nakao; Naumkin, Pavel I. Asymptotics in time of solutions to nonlinear Schrödinger equations in two space dimensions. (English) Zbl 1185.35020 Funkc. Ekvacioj, Ser. Int. 49, No. 3, 415-425 (2006). MSC: 35B40 35Q55 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Funkc. Ekvacioj, Ser. Int. 49, No. 3, 415--425 (2006; Zbl 1185.35020) Full Text: DOI
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. Asymptotics for critical Rosenau type equations with nonconvective nonlinearites on a half-line. (English) Zbl 1115.35123 Complex Var. Elliptic Equ. 51, No. 12, 1153-1174 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35Q55 35B40 35S10 35R10 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Complex Var. Elliptic Equ. 51, No. 12, 1153--1174 (2006; Zbl 1115.35123) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Asymptotics for the Korteweg-de Vries-Burgers equation. (English) Zbl 1104.35046 Acta Math. Sin., Engl. Ser. 22, No. 5, 1441-1456 (2006). MSC: 35Q53 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Acta Math. Sin., Engl. Ser. 22, No. 5, 1441--1456 (2006; Zbl 1104.35046) Full Text: DOI
Hayashi, Nakao; Kawahara, Yuichiro; Naumkin, Pavel I. Lower bounds of asymptotics in time of solutions to nonlinear Schrödinger equations in 3D. (English) Zbl 1106.35098 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 7, 1394-1410 (2006). MSC: 35Q55 35B40 35B45 45D05 45M05 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 7, 1394--1410 (2006; Zbl 1106.35098) Full Text: DOI
Cardiel, Rosa E.; Kaikina, Elena I.; Naumkin, Pavel I. Asymptotics for nonlinear nonlocal equations on a half-line. (English) Zbl 1117.35074 Commun. Contemp. Math. 8, No. 2, 189-217 (2006). Reviewer: Horst Lange (Freiburg) MSC: 35Q55 35S10 35R10 PDFBibTeX XMLCite \textit{R. E. Cardiel} et al., Commun. Contemp. Math. 8, No. 2, 189--217 (2006; Zbl 1117.35074) Full Text: DOI
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. Damped wave equation with a critical nonlinearity. (English) Zbl 1081.35104 Trans. Am. Math. Soc. 358, No. 3, 1165-1185 (2006). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Trans. Am. Math. Soc. 358, No. 3, 1165--1185 (2006; Zbl 1081.35104) Full Text: DOI
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. Asymptotic for fractional nonlinear heat equations. (English) Zbl 1183.35037 J. Lond. Math. Soc., II. Ser. 72, No. 3, 663-688 (2005). MSC: 35B40 35K55 35K15 35R11 35B33 PDFBibTeX XMLCite \textit{N. Hayashi} et al., J. Lond. Math. Soc., II. Ser. 72, No. 3, 663--688 (2005; Zbl 1183.35037) Full Text: DOI
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. Asymptotics of solutions for sub critical nonconvective type equations. (English) Zbl 1088.35064 Math. Methods Appl. Sci. 28, No. 3, 275-308 (2005). Reviewer: Andrew Pickering (Madrid) MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Math. Methods Appl. Sci. 28, No. 3, 275--308 (2005; Zbl 1088.35064) Full Text: DOI
Hayashi, Nakao; Iro, Naoko; Kaikina, Elena I.; Naumkin, Pavel I. Large time behavior od small solutions to Dirichlet problem for Landau-Ginzburg type equations. (English) Zbl 1206.35045 Funkc. Ekvacioj, Ser. Int. 47, No. 3, 479-497 (2004). MSC: 35B40 35Q35 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Funkc. Ekvacioj, Ser. Int. 47, No. 3, 479--497 (2004; Zbl 1206.35045) Full Text: DOI
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. Asymptotics for critical nonconvective type equations. (English) Zbl 1075.35131 Int. J. Math. Math. Sci. 2004, No. 5-8, 377-405 (2004). Reviewer: Georgii Sviridyuk (Chelyabinsk) MSC: 35S10 35Q35 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Int. J. Math. Math. Sci. 2004, No. 5--8, 377--405 (2004; Zbl 1075.35131) Full Text: DOI EuDML
Kaĭkina, E. I.; Naumkin, P. I.; Shishmarev, I. A. Asymptotic behavior of solutions of nonlinear dissipative systems of equations. (English. Russian original) Zbl 1086.35022 Izv. Math. 68, No. 3, 461-492 (2004); translation from Izv. Ross. Akad. Nauk Ser. Mat. 68, No. 3, 29-62 (2004). MSC: 35G25 35B40 35S10 PDFBibTeX XMLCite \textit{E. I. Kaĭkina} et al., Izv. Math. 68, No. 3, 461--492 (2004; Zbl 1086.35022); translation from Izv. Ross. Akad. Nauk Ser. Mat. 68, No. 3, 29--62 (2004) Full Text: DOI
Kaikina, Elena I.; Naumkin, Pavel I.; Sánchez-Suárez, Isahi Nonlinear nonlocal Schrödinger type equations on a segment. (English) Zbl 1064.35189 SUT J. Math. 40, No. 1, 75-90 (2004). MSC: 35Q55 35R10 35B40 PDFBibTeX XMLCite \textit{E. I. Kaikina} et al., SUT J. Math. 40, No. 1, 75--90 (2004; Zbl 1064.35189)
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. Landau-Ginzburg type equations in the subcritical case. (English) Zbl 1020.35103 Commun. Contemp. Math. 5, No. 1, 127-145 (2003). MSC: 35Q55 37L05 35K55 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Commun. Contemp. Math. 5, No. 1, 127--145 (2003; Zbl 1020.35103) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. A quadratic nonlinear Schrödinger equation in one space dimension. (English) Zbl 1508.35149 J. Differ. Equations 186, No. 1, 165-185 (2002). MSC: 35Q55 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, J. Differ. Equations 186, No. 1, 165--185 (2002; Zbl 1508.35149) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Asymptotics of small solutions to nonlinear Schrödinger equations with cubic nonlinearities. (English) Zbl 1018.35070 Int. J. Pure Appl. Math. 3, No. 3, 255-273 (2002). MSC: 35Q55 35B40 35Q40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Int. J. Pure Appl. Math. 3, No. 3, 255--273 (2002; Zbl 1018.35070)
Hayashi, Nakao; Naumkin, Pavel I.; Yamazaki, Yasuko Large time behavior of small solutions to subcritical derivative nonlinear Schrödinger equations. (English) Zbl 0984.35151 Proc. Am. Math. Soc. 130, No. 3, 779-789 (2002). MSC: 35Q55 35B40 35P25 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Proc. Am. Math. Soc. 130, No. 3, 779--789 (2002; Zbl 0984.35151) Full Text: DOI
Naumkin, Pavel I. Global solutions to the cubic derivative nonlinear Schrödinger equations. (English) Zbl 0958.35130 Bermúdez, Alfredo (ed.) et al., Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10-14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 616-620 (2000). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{P. I. Naumkin}, in: Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10--14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics; Rocquencourt: INRIA, Institut National de Recherche en Informatique et en Automatique. 616--620 (2000; Zbl 0958.35130)
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. Large time behavior of solutions to the Landau-Ginzburg type equations. (English) Zbl 0958.35128 Bermúdez, Alfredo (ed.) et al., Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10-14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 315-319 (2000). MSC: 35Q55 35B40 82D55 PDFBibTeX XMLCite \textit{N. Hayashi} et al., in: Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10--14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics; Rocquencourt: INRIA, Institut National de Recherche en Informatique et en Automatique. 315--319 (2000; Zbl 0958.35128)
Naumkin, Pavel I. Cubic derivative nonlinear Schrödinger equations. (English) Zbl 0964.35145 SUT J. Math. 36, No. 1, 9-42 (2000). Reviewer: Ma Wen-Xiu (Hongkong) MSC: 35Q55 35B40 35A05 PDFBibTeX XMLCite \textit{P. I. Naumkin}, SUT J. Math. 36, No. 1, 9--42 (2000; Zbl 0964.35145)
Kaikina, Elena I.; Naumkin, Pavel I.; Shishmarev, Ilya A. Asymptotic behavior for large time of solutions to the nonlinear nonlocal Schrödinger equation on half-line. (English) Zbl 0932.35188 SUT J. Math. 35, No. 1, 37-79 (1999). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{E. I. Kaikina} et al., SUT J. Math. 35, No. 1, 37--79 (1999; Zbl 0932.35188)
Hayashi, Nakao; Kato, Keiichi; Naumkin, Pavel I. On the scattering in Gevrey classes for the subcritical Hartree and Schrödinger equations. (English) Zbl 0931.35161 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 27, No. 3-4, 483-497 (1998). MSC: 35Q55 35P25 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 27, No. 3--4, 483--497(1999) (1998; Zbl 0931.35161) Full Text: Numdam EuDML
Hayashi, Nakao; Naumkin, Pavel I. Remarks on scattering theory and large time asymptotics of solutions to Hartree type equations with a long range potential. (English) Zbl 0937.35167 SUT J. Math. 34, No. 1, 13-24 (1998). Reviewer: M.Codegone (Torino) MSC: 35Q55 35P25 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, SUT J. Math. 34, No. 1, 13--24 (1998; Zbl 0937.35167)
Naumkin, P. I.; Shishmarev, I. A. Asymptotic relationship as \(t \to \infty\) between solutions to some nonlinear equations. I. (English. Russian original) Zbl 0846.35121 Differ. Equations 30, No. 5, 806-814 (1994); translation from Differ. Uravn. 30, No. 5, 873-881 (1994). Reviewer: V.Chernyatin (Szczecin) MSC: 35Q53 35B40 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Differ. Equations 30, No. 5, 806--814 (1994; Zbl 0846.35121); translation from Differ. Uravn. 30, No. 5, 873--881 (1994)
Naumkin, P. I. Large-time asymptotics of solutions of the nonlinear Schrödinger equation in \(2+1\) dimensions. (English. Russian original) Zbl 0828.35126 Russ. Acad. Sci., Izv., Math. 43, No. 2, 373-384 (1994); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 57, No. 5, 197-209 (1993). MSC: 35Q55 35B40 35J60 35J10 PDFBibTeX XMLCite \textit{P. I. Naumkin}, Russ. Acad. Sci., Izv., Math. 43, No. 2, 1 (1993; Zbl 0828.35126); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 57, No. 5, 197--209 (1993) Full Text: DOI
Naumkin, P. I.; Shishmarev, I. A. On nonlinear nonlocal equations in wave theory. II: System of surface wave equations. Asymptotics of dissipative equations. (English. Russian original) Zbl 0744.35050 Mosc. Univ. Phys. Bull. 45, No. 6, 5-17 (1990); translation from Vestn. Mosk. Univ., Ser. III 31, No. 6, 3-17 (1990). Reviewer: N.A.Lar’kin (Novosibirsk) MSC: 35Q53 76B15 35B40 35D05 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Mosc. Univ. Phys. Bull. 45, No. 6, 5--17 (1990; Zbl 0744.35050); translation from Vestn. Mosk. Univ., Ser. III 31, No. 6, 3--17 (1990)