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Asymptotic expansion of small analytic solutions to the quadratic nonlinear Schrödinger equations in two-dimensional spaces

IJMMS ASYMPTOTIC EXPANSION OF SMALL ANALYTIC SOLUTIONS TO THE QUADRATIC NONLINEAR SCHR?DINGER EQUATIONS IN TWO-DIMENSIONAL SPACES NAKAO HAYASHI PAVEL I. NAUMKIN We study asymptotic behavior in time ... . The works of Pavel I. Naumkin are partially supported by Consejo Nacional de Ciencia y Tecnologia (CONACYT). Nakao Hayashi: Department of Mathematics, Graduate School of Science, Osaka University

Asymptotics for critical nonconvective type equations

IJMMS ASYMPTOTICS FOR CRITICAL NONCONVECTIVE TYPE EQUATIONS NAKAO HAYASHI ELENA I. KAIKINA PAVEL I. NAUMKIN We study large-time asymptotic behavior of solutions to the Cauchy problem for a model of ... 1.1 is proved. Acknowledgments. The work of Elena I. Kaikina and Pavel I. Naumkin is partially supported by CONACYT. The authors are grateful to the unknown referees for many useful suggestions and

Asymptotics for critical nonconvective type equations

IJMMS ASYMPTOTICS FOR CRITICAL NONCONVECTIVE TYPE EQUATIONS NAKAO HAYASHI ELENA I. KAIKINA PAVEL I. NAUMKIN We study large-time asymptotic behavior of solutions to the Cauchy problem for a model of ... 1.1 is proved. Acknowledgments. The work of Elena I. Kaikina and Pavel I. Naumkin is partially supported by CONACYT. The authors are grateful to the unknown referees for many useful suggestions and

High-Speed Transmission in Long-Haul Electrical Systems

We study the equations governing the high-speed transmission in long-haul electrical systems , , , where , and is the Fourier transformation. Our purpose in this paper is to obtain the large time asymptotics for the solutions under the nonzero mass condition

High-Speed Transmission in Long-Haul Electrical Systems

We study the equations governing the high-speed transmission in long-haul electrical systems , , , where , and is the Fourier transformation. Our purpose in this paper is to obtain the large time asymptotics for the solutions under the nonzero mass condition

Asymptotics for the Ostrovsky-Hunter Equation in the Critical Case

. Acknowledgments The work of Nakao Hayashi is partially supported by JSPS KAKENHI Grant nos. JP25220702 and JP15H03630. The work of Pavel I. Naumkin is partially supported by CONACYT and PAPIIT Project IN100616

Asymptotics for the Ostrovsky-Hunter Equation in the Critical Case

. Acknowledgments The work of Nakao Hayashi is partially supported by JSPS KAKENHI Grant nos. JP25220702 and JP15H03630. The work of Pavel I. Naumkin is partially supported by CONACYT and PAPIIT Project IN100616

Time Decay for Nonlinear Dissipative Schrödinger Equations in Optical Fields

. 34) and NNSFC under Grant No. 11461074. The work of Pavel I. Naumkin is partially supported by CONACYT and PAPIIT Project IN100113. [7] N. Okazawa and T. Yokota, ?Global existence and smoothing effect

The Initial Value Problem for the Quadratic Nonlinear Klein-Gordon Equation

Copyright © 2010 Nakao Hayashi and Pavel I. Naumkin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction

Quadratic derivative nonlinear Schrödinger equations in two space dimensions

Fernando Bernal-Vlchis 0 Nakao Hayashi 0 Pavel I. Naumkin 0 0 Nakao Hayashi Department of Mathematics, Graduate School of Science, Osaka University , Osaka, Tokyonaka , Japan We study the global in ... . 19340030). Pavel I. Naumkin e-mail: Received: 7 May 2010. Accepted: 6 January 2011.

Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation

Nakao Hayashi 0 Pavel I. Naumkin 0 Joel A. Rodriguez-Ceballos 0 0 N. Hayashi Department of Mathematics, Graduate School of Science, Osaka University , Osaka, Toyonaka 560-0043, Japan We study large