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; 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
Arciga-Alejandre, Martin P.; Kaikina, Elena I. Multidimensional inhomogeneous mixed initial-boundary value problem for the nonlinear Schrödinger equation. (English) Zbl 1428.35479 J. Differ. Equations 267, No. 10, 5736-5774 (2019). MSC: 35Q55 35B40 35A01 92C20 42A38 PDFBibTeX XMLCite \textit{M. P. Arciga-Alejandre} and \textit{E. I. Kaikina}, J. Differ. Equations 267, No. 10, 5736--5774 (2019; Zbl 1428.35479) 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
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
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
Campos, B. Juarez; Kaikina, E.; Ruiz Paredes, Hector F. Neumann problem for the capillary wave equation. (English) Zbl 1398.35263 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 160, 108-134 (2017). MSC: 35R11 35B40 35Q55 PDFBibTeX XMLCite \textit{B. J. Campos} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 160, 108--134 (2017; Zbl 1398.35263) 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
Juarez-Campos, B.; Kaikina, Elena; Ruiz-Paredes, Hector F. Nonlinear model of quasi-stationary process in crystalline semiconductor. (English) Zbl 1361.35173 Differ. Equ. Appl. 9, No. 1, 37-55 (2017). MSC: 35Q60 35B40 35K70 78A35 35B44 82D37 PDFBibTeX XMLCite \textit{B. Juarez-Campos} et al., Differ. Equ. Appl. 9, No. 1, 37--55 (2017; Zbl 1361.35173) Full Text: DOI
Esquivel, L.; Kaikina, Elena I. A forced fractional Schrödinger equation with a Neumann boundary condition. (English) Zbl 1346.35185 Nonlinearity 29, No. 7, 2082-2111 (2016). MSC: 35Q55 35B40 35R11 PDFBibTeX XMLCite \textit{L. Esquivel} and \textit{E. I. Kaikina}, Nonlinearity 29, No. 7, 2082--2111 (2016; Zbl 1346.35185) Full Text: DOI
Esquivel, L.; Kaikina, E. Neumann problem for nonlinear Schrödinger equation with the Riesz fractional derivative operator. (English) Zbl 1337.35133 J. Differ. Equations 260, No. 7, 5645-5677 (2016). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q55 35R11 35B40 35A01 PDFBibTeX XMLCite \textit{L. Esquivel} and \textit{E. Kaikina}, J. Differ. Equations 260, No. 7, 5645--5677 (2016; Zbl 1337.35133) Full Text: DOI
Kaikina, E. Capillary wave equation in a quarter plane. (English) Zbl 1330.35404 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 129, 265-293 (2015). MSC: 35Q55 35R11 35B40 35Q35 76B15 76B45 PDFBibTeX XMLCite \textit{E. Kaikina}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 129, 265--293 (2015; Zbl 1330.35404) Full Text: DOI
Kaikina, Elena I.; Ruiz Paredes, Hector F. Ruiz Subcritical nonlinear pseudodifferential equation of Sobolev type on a half-line. (English) Zbl 1301.35168 Differ. Equ. Appl. 6, No. 2, 209-232 (2014). MSC: 35Q60 35S11 35B40 35A01 PDFBibTeX XMLCite \textit{E. I. Kaikina} and \textit{H. F. R. Ruiz Paredes}, Differ. Equ. Appl. 6, No. 2, 209--232 (2014; Zbl 1301.35168) Full Text: DOI Link
Kaikina, Elena I. Forced cubic Schrödinger equation with Robin boundary data: large-time asymptotics. (English) Zbl 1348.35235 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 469, No. 2159, Article ID 20130341, 16 p. (2013). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{E. I. Kaikina}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 469, No. 2159, Article ID 20130341, 16 p. (2013; Zbl 1348.35235) Full Text: DOI
Kaikina, Elena I. Inhomogeneous Neumann initial-boundary value problem for the nonlinear Schrödinger equation. (English) Zbl 1320.35323 J. Differ. Equations 255, No. 10, 3338-3356 (2013). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q55 35B40 35Q35 PDFBibTeX XMLCite \textit{E. I. Kaikina}, J. Differ. Equations 255, No. 10, 3338--3356 (2013; Zbl 1320.35323) Full Text: DOI
Kaikina, Elena I. Mixed initial-boundary value problem for the Benjamin-Ono equation. (English) Zbl 1282.35307 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 89, 179-201 (2013). MSC: 35Q35 PDFBibTeX XMLCite \textit{E. I. Kaikina}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 89, 179--201 (2013; Zbl 1282.35307) Full Text: DOI
Árciga Alejandre, Martín P.; Kaikina, Elena I. Global existence and asymptotic behavior of solutions to the homogeneous Neumann problem for ILW equation on a half-line. (English) Zbl 1254.35184 NoDEA, Nonlinear Differ. Equ. Appl. 19, No. 4, 459-483 (2012). MSC: 35Q35 35B40 35A01 PDFBibTeX XMLCite \textit{M. P. Árciga Alejandre} and \textit{E. I. Kaikina}, NoDEA, Nonlinear Differ. Equ. Appl. 19, No. 4, 459--483 (2012; Zbl 1254.35184) Full Text: DOI
Árciga Alejandre, Martín P.; Kaikina, Elena I. Mixed initial-boundary value problem for Ott-Sudan-Ostrovskiy equation. (English) Zbl 1234.35215 Discrete Contin. Dyn. Syst. 32, No. 2, 381-409 (2012). MSC: 35Q53 35B40 PDFBibTeX XMLCite \textit{M. P. Árciga Alejandre} and \textit{E. I. Kaikina}, Discrete Contin. Dyn. Syst. 32, No. 2, 381--409 (2012; Zbl 1234.35215) 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
Árciga Alejandre, Martín P.; Kaikina, Elena I. Intermediate long-wave equation on a half-line. (English) Zbl 1235.35184 J. Evol. Equ. 11, No. 4, 743-770 (2011). MSC: 35L05 35Q35 35B44 35A01 74J30 PDFBibTeX XMLCite \textit{M. P. Árciga Alejandre} and \textit{E. I. Kaikina}, J. Evol. Equ. 11, No. 4, 743--770 (2011; Zbl 1235.35184) Full Text: DOI
Benitez, Felipe; Kaikina, Elena I. A Neumann problem for the KdV equation with Landau damping on a half-line. (English) Zbl 1220.35183 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 14, 4682-4697 (2011). MSC: 35R11 35Q53 35B40 26A33 PDFBibTeX XMLCite \textit{F. Benitez} and \textit{E. I. Kaikina}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 14, 4682--4697 (2011; Zbl 1220.35183) Full Text: DOI
Árciga Alejandre, Martín P.; Kaikina, Elena I. Ott-Sudan-Ostrovskiy equation on a half-line. (English) Zbl 1219.35047 J. Differ. Equations 250, No. 12, 4262-4288 (2011). Reviewer: Keisuke Uchikoshi (Yokosuka) MSC: 35F31 35B40 PDFBibTeX XMLCite \textit{M. P. Árciga Alejandre} and \textit{E. I. Kaikina}, J. Differ. Equations 250, No. 12, 4262--4288 (2011; Zbl 1219.35047) Full Text: DOI
Kaikina, Elena I.; Guardado-Zavala, Leonardo; Ruiz-Paredes, Hector F.; Zirate, S. Juarez Korteweg-de Vries-Burgers equation on a segment. (English) Zbl 1218.35211 Cubo 12, No. 1, 41-58 (2010). MSC: 35Q53 35Q35 35A01 35A02 35B30 35B40 PDFBibTeX XMLCite \textit{E. I. Kaikina} et al., Cubo 12, No. 1, 41--58 (2010; Zbl 1218.35211) Full Text: DOI
Kaikina, Elena I.; Guardado-Zavala, Leonardo; Ruiz-Paredes, Hector F.; Navarro, J. A. Mendez Dirichlet initial-boundary value problem for nonlinear fractional equations. (English) Zbl 1352.35226 Pac. J. Appl. Math. 1, No. 3, 249-272 (2009). MSC: 35S15 35B40 PDFBibTeX XMLCite \textit{E. I. Kaikina} et al., Pac. J. Appl. Math. 1, No. 3, 249--272 (2009; Zbl 1352.35226)
Kaikina, Elena I. Critical Ostrovskiy-type equation on a half-line. (English) Zbl 1240.35243 Differ. Integral Equ. 22, No. 1-2, 69-98 (2009). Reviewer: Milan Štědrý (Praha) MSC: 35K55 35Q35 35B40 PDFBibTeX XMLCite \textit{E. I. Kaikina}, Differ. Integral Equ. 22, No. 1--2, 69--98 (2009; Zbl 1240.35243)
Benitez, Felipe; Kaikina, Elena I.; Ruiz-Paredes, Hector F. Subcritical nonlinear dissipative equations on a half-line. (English) Zbl 1187.35167 Arab. J. Sci. Eng., Sect. A, Sci. 34, No. 1, 179-207 (2009). MSC: 35Q35 35B40 76D05 76D03 PDFBibTeX XMLCite \textit{F. Benitez} et al., Arab. J. Sci. Eng., Sect. A, Sci. 34, No. 1, 179--207 (2009; Zbl 1187.35167)
Kaikina, Elena I. Nonlinear evolution equation with a fractional differential operator on a half-line. (English) Zbl 1181.35312 Complex Var. Elliptic Equ. 54, No. 12, 1101-1128 (2009). MSC: 35R11 35Q35 35F25 26A33 35B40 PDFBibTeX XMLCite \textit{E. I. Kaikina}, Complex Var. Elliptic Equ. 54, No. 12, 1101--1128 (2009; Zbl 1181.35312) Full Text: DOI
Kaikina, Elena I. Nonlinear evolution equations with a fractional derivative on a half-line. (English) Zbl 1169.35373 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3-4, 766-781 (2009). MSC: 35Q53 35B40 35R70 PDFBibTeX XMLCite \textit{E. I. Kaikina}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3--4, 766--781 (2009; Zbl 1169.35373) Full Text: DOI
Kaikina, Elena I.; Guardado-Zavala, Leonardo; Ruiz-Paredes, Hector F.; Mendez Navarro, Jesus A. Critical nonlinear nonlocal equations on a half-line. (English) Zbl 1170.35105 NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 1, 63-77 (2009). MSC: 35S15 35B40 35C20 PDFBibTeX XMLCite \textit{E. I. Kaikina} et al., NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 1, 63--77 (2009; Zbl 1170.35105) Full Text: DOI
Kaikina, Elena I. Ott-Sudan-Ostrovskiy type equations on a segment with large initial data. (English) Zbl 1157.45003 Z. Angew. Math. Phys. 59, No. 4, 647-675 (2008). Reviewer: Michael I. Gil’ (Beer-Sheva) MSC: 45K05 45G10 45M05 PDFBibTeX XMLCite \textit{E. I. Kaikina}, Z. Angew. Math. Phys. 59, No. 4, 647--675 (2008; Zbl 1157.45003) Full Text: DOI
Kaikina, Elena I. Asymptotics for critical pseudodifferential equations on a half-line. (English) Zbl 1128.35111 Complex Var. Elliptic Equ. 52, No. 4, 315-339 (2007). Reviewer: Petar Popivanov (Sofia) MSC: 35S15 35B40 PDFBibTeX XMLCite \textit{E. I. Kaikina}, Complex Var. Elliptic Equ. 52, No. 4, 315--339 (2007; Zbl 1128.35111) 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
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. 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
Kaikina, Elena I. Subcritical Kuramoto-Sivashinsky-type equation on a half-line. (English) Zbl 1090.35087 J. Differ. Equations 220, No. 2, 279-321 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35K35 35K60 35B40 PDFBibTeX XMLCite \textit{E. I. Kaikina}, J. Differ. Equations 220, No. 2, 279--321 (2006; Zbl 1090.35087) 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
Benitez, Felipe; Kaikina, Elena I. Kuramoto-Sivashinsky type equations on a half-line. (English) Zbl 1107.35098 SUT J. Math. 41, No. 2, 153-178 (2005). MSC: 35Q53 35B40 37L05 PDFBibTeX XMLCite \textit{F. Benitez} and \textit{E. I. Kaikina}, SUT J. Math. 41, No. 2, 153--178 (2005; Zbl 1107.35098)
Kaikina, Elena I. Nonlinear nonlocal Ott-Sudan-Ostrovskiy type equations on a segment. (English) Zbl 1091.35068 Hokkaido Math. J. 34, No. 3, 599-628 (2005). Reviewer: Khalil Ezzinbi (Marrakech) MSC: 35Q35 35B40 PDFBibTeX XMLCite \textit{E. I. Kaikina}, Hokkaido Math. J. 34, No. 3, 599--628 (2005; Zbl 1091.35068) 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
Kaikina, Elena Igorevna; Ruiz-Paredes, Hector Francisco Second term of asymptotics for KdVB equation with large initial data. (English) Zbl 1080.35084 Osaka J. Math. 42, No. 2, 407-420 (2005). MSC: 35Q35 35B40 35Q53 PDFBibTeX XMLCite \textit{E. I. Kaikina} and \textit{H. F. Ruiz-Paredes}, Osaka J. Math. 42, No. 2, 407--420 (2005; Zbl 1080.35084)
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)
Kaikina, Elena I. Nonlinear nonlocal Whitham equation on a segment. (English) Zbl 1064.45008 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 59, No. 1-2, 55-83 (2004). Reviewer: Sándor Zoltan Németh (Budapest) MSC: 45K05 45G10 45M05 PDFBibTeX XMLCite \textit{E. I. Kaikina}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 59, No. 1--2, 55--83 (2004; Zbl 1064.45008) Full Text: DOI
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; 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; 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; 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)
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)