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
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
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
Hayashi, Nakao; Kaikina, Elena I.; Ogawa, Takayoshi Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space. (English) Zbl 1476.35198 SN Partial Differ. Equ. Appl. 2, No. 6, Paper No. 69, 24 p. (2021). MSC: 35Q35 PDFBibTeX XMLCite \textit{N. Hayashi} et al., SN Partial Differ. Equ. Appl. 2, No. 6, Paper No. 69, 24 p. (2021; Zbl 1476.35198) Full Text: DOI
Hayashi, Nakao; Kaikina, Elena I. Inhomogeneous Dirichlet-boundary value problem for two-dimensional quadratic nonlinear Schrödinger equations. (English) Zbl 1466.35328 Kyushu J. Math. 74, No. 2, 375-400 (2020). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{E. I. Kaikina}, Kyushu J. Math. 74, No. 2, 375--400 (2020; Zbl 1466.35328) Full Text: DOI
Hayashi, Nakao; Kaikina, Elena I.; Ogawa, Takayoshi Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations with large initial and boundary data. (English) Zbl 1437.35628 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 2, Paper No. 17, 20 p. (2020). MSC: 35Q55 81Q05 35A01 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} et al., NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 2, Paper No. 17, 20 p. (2020; Zbl 1437.35628) Full Text: DOI
Hayashi, Nakao; Kaikina, Elena Neumann inhomogeneous initial-boundary value problem for the \(2D\) nonlinear Schrödinger equation. (English) Zbl 1433.35276 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 1, Paper No. 2, 32 p. (2020). MSC: 35Q35 35B40 35B30 35Q15 45E05 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{E. Kaikina}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 1, Paper No. 2, 32 p. (2020; Zbl 1433.35276) Full Text: DOI
Hayashi, Nakao; Kaikina, Elena I. Inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity on the upper half-plane. (English) Zbl 1428.35361 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 187, 279-306 (2019). MSC: 35Q35 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{E. I. Kaikina}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 187, 279--306 (2019; Zbl 1428.35361) Full Text: DOI
Esquivel, Liliana; Hayashi, Nakao; Kaikina, Elena I. Inhomogeneous Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques. (English) Zbl 1406.35350 J. Differ. Equations 266, No. 2-3, 1121-1152 (2019). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 35B40 35Q41 PDFBibTeX XMLCite \textit{L. Esquivel} et al., J. Differ. Equations 266, No. 2--3, 1121--1152 (2019; Zbl 1406.35350) Full Text: DOI arXiv
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
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; Kaikina, Elena I. Asymptotics for the third-order nonlinear Schrödinger equation in the critical case. (English) Zbl 1364.35335 Math. Methods Appl. Sci. 40, No. 5, 1573-1597 (2017). MSC: 35Q55 35Q53 35Q35 35B40 78A60 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{E. I. Kaikina}, Math. Methods Appl. Sci. 40, No. 5, 1573--1597 (2017; Zbl 1364.35335) 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
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; Kaikina, Elena I. Neumann initial-boundary value problem for Benjamin-Ono equation. (English) Zbl 1232.35128 J. Differ. Equations 252, No. 5, 3520-3540 (2012). MSC: 35Q35 35B40 35F31 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{E. I. Kaikina}, J. Differ. Equations 252, No. 5, 3520--3540 (2012; Zbl 1232.35128) 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
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
Hayashi, Nakao; Kaikina, Elena I. Neumann problem for the Korteweg–de Vries equation. (English) Zbl 1105.35106 J. Differ. Equations 225, No. 1, 168-201 (2006). Reviewer: Igor Andrianov (Köln) MSC: 35Q53 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{E. I. Kaikina}, J. Differ. Equations 225, No. 1, 168--201 (2006; Zbl 1105.35106) 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
Hayashi, Nakao; Kaikina, Elena I.; Guardado Zavala, J. L. On the boundary-value problem for the Korteweg-de Vries equation. (English) Zbl 1050.35099 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2039, 2861-2884 (2003). Reviewer: Igor Andrianov (Köln) MSC: 35Q53 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2039, 2861--2884 (2003; Zbl 1050.35099) Full Text: DOI
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; Kaikina, Elena I.; Ruiz Paredes, Hector F. Korteweg-de Vries-Burgers equation on a half-line with large initial data. (English) Zbl 1375.35445 J. Evol. Equ. 2, No. 3, 319-347 (2002). MSC: 35Q53 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} et al., J. Evol. Equ. 2, No. 3, 319--347 (2002; Zbl 1375.35445) 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; Kaikina, Elena I.; Manzo, Reynaldo Local and global existence of solutions to the nonlocal Whitham equation on half-line. (English) Zbl 1134.35370 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 1, 53-75 (2002). Reviewer: Drumi Bainov (Sofia) MSC: 35K55 35K35 35K60 47N20 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 1, 53--75 (2002; Zbl 1134.35370) Full Text: DOI
Hayashi, Nakao; Kaikina, Elena I.; Shishmarev, Ilia A. Asymptotics of solutions to the boundary-value problem for the Korteweg-de Vries-Burgers equation on a half-line. (English) Zbl 0999.35087 J. Math. Anal. Appl. 265, No. 2, 343-370 (2002). MSC: 35Q53 37L05 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} et al., J. Math. Anal. Appl. 265, No. 2, 343--370 (2002; Zbl 0999.35087) Full Text: DOI
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
Hayashi, Nakao; Kaikina, Elena I.; Ruiz Paredes, H. Francisco Boundary-value problem for the Korteweg-de Vries-Burgers type equation. (English) Zbl 0992.35090 NoDEA, Nonlinear Differ. Equ. Appl. 8, No. 4, 439-463 (2001). MSC: 35Q53 35B40 76B15 PDFBibTeX XMLCite \textit{N. Hayashi} et al., NoDEA, Nonlinear Differ. Equ. Appl. 8, No. 4, 439--463 (2001; Zbl 0992.35090) Full Text: DOI
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)
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)