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<top_article>
 <mrnumber>MR1718755</mrnumber>
 <author>Hayashi, Nakao and Naumkin, Pavel I.</author>
 <author_utf8>Nakao HAYASHI and Pavel I. NAUMKIN</author_utf8>
 <title>Large time behavior of solutions for derivative cubic               nonlinear Schr&#246;dinger equations without a self-conjugate               property</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>42</volume>
 <year>1999</year>
 <page>311--324</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol42/fe42-2-9.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE41-45-en_KML/fe42-311-324/fe42-311-324.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1718755</mathsci_link>
<fesi_info>
  <FILE>fe42-311-324</FILE>
  <YEAR>1999</YEAR>
  <TITLE>Large Time Behavior of Solutions for Derivative Cubic Nonlinear Schr&#246;dinger Equations without a Self-Conjugate Property</TITLE>
  <AUTHOR>HAYASHI, Nakao; NAUMKIN, Pavel I.</AUTHOR>
  <AUTHOR_utf8>HAYASHI, Nakao; NAUMKIN, Pavel I.</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Chihara, H.</author>
    <title>Local existence for the semilinear Schr&#246;dinger equations in one space dimension</title>
    <journal>J. Math. Kyoto Univ.</journal>
    <vol>34</vol>
    <year>1994</year>
    <page>353-367</page>
    <mr>MR1284430</mr>
    <score>100</score>
    <query_string>Cache/Ch/Chihara,semilinear,J*,1994,1995</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Doi, S.</author>
    <title>The initial value problem for the Schr&#246;dinger type equations and the regularity of solutions</title>
    <journal>J. Math. Kyoto Univ.</journal>
    <vol>34</vol>
    <year>1994</year>
    <page>319-328</page>
    <mr>MR1284428</mr>
    <query_string>Cache/Do/Doi,initial,J*,1994,1995</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Hayashi, N.</author>
    <title>The initial value problem for the derivative nonlinear Schr&#246;dinger equation in the energy space</title>
    <journal>Nonlinear Analysis TMA</journal>
    <vol>20</vol>
    <year>1993</year>
    <page>823-833</page>
    <mr>MR1214746</mr>
    <score>100</score>
    <query_string>Cache/Ha/Hayashi,derivative,Nonlinear*,1993,1994</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Hayashi, N.; Naumkin, P. I.</author>
    <title>Asymptotic behavior in time of solutions to the derivative non-linear Schr&#246;dinger equation revisited</title>
    <journal>Discrete and Continuous Dynamical Systems</journal>
    <vol>3</vol>
    <year>1997</year>
    <page>383-400</page>
    <mr>MR1444201</mr>
    <score>92</score>
    <query_string>Cache/Ha/Hayashi,Asymptotic,Discrete*,1997,1998</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Hayashi, N.; Naumkin, P. I.</author>
    <title>Asymptotic behavior in time of solutions to the derivative non-linear Schr&#246;dinger equation</title>
    <journal>Annales de l'I.H.P. Physique Theorique</journal>
    <vol>68</vol>
    <year>1998</year>
    <page>159-177</page>
    <mr>MR1618664</mr>
    <score>91</score>
    <query_string>Cache/Ha/Hayashi,Asymptotic,Annales*,1998,1999</query_string>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Hayashi, N.; Naumkin, P. I.</author>
    <title>Large time asymptotics of solutions to the generalized Benjamin-Ono equation</title>
    <journal>Trans. AMS</journal>
    <vol>351</vol>
    <year>1999</year>
    <page>109-130</page>
    <mr>MR1491867</mr>
    <score>100</score>
    <query_string>Cache/Ha/Hayashi,Benjamin-Ono,Trans*,1999,2000</query_string>
  </article>

  <article>
    <bibitem>7</bibitem>
    <author>Hayashi, N.; Naumkin, P. I.</author>
    <title>Remarks on scattering theory and large time asymptotics of solutions to Hartree type equations with a long range potential</title>
    <journal>SUT Journal of Mathematics</journal>
    <vol>34</vol>
    <year>1998</year>
    <page>13-24</page>
    <mr>MR1639023</mr>
    <score>100</score>
    <query_string>Cache/Ha/Hayashi,asymptotics,SUT*,1998,1999</query_string>
  </article>

  <other>
    <bibitem>8</bibitem>
    <raw_data>Hayashi, N.; Naumkin, P. I.; Pipolo, P-N., Smoothing effects for some derivative nonlinear Schr&#246;dinger equations, Preprint</raw_data>
    <mr>MR1696338</mr>
  </other>

  <other>
    <bibitem>9</bibitem>
    <raw_data>Hayashi, N.; Naumkin, P. I.; Uchida, H., Large time behavior of solutions for derivative cubic nonlinear Schr&#246;dinger equations, Preprint</raw_data>
    <mr>MR1710752</mr>
  </other>

  <article>
    <bibitem>10</bibitem>
    <author>Hayashi, N.; Ozawa, T.</author>
    <title>Modified wave operators for the derivative nonlinear Schr&#246;dinger equation</title>
    <journal>Math. Ann.</journal>
    <vol>298</vol>
    <year>1994</year>
    <page>557-576</page>
    <mr>MR1262776</mr>
    <score>100</score>
    <query_string>Cache/Ha/Hayashi,derivative,Math*,1994,1995</query_string>
  </article>

  <article>
    <bibitem>11</bibitem>
    <author>Hayashi, N.; Ozawa, T.</author>
    <title>Remarks on nonlinear Schr&#246;dinger equations in one space dimension</title>
    <journal>Diff. Integral Eqs.</journal>
    <vol>7</vol>
    <year>1994</year>
    <page>453-461</page>
    <mr>MR1255899</mr>
    <score>100</score>
    <query_string>Cache/Ha/Hayashi,nonlinear,Diff*,1994,1995</query_string>
  </article>

  <article>
    <bibitem>12</bibitem>
    <author>Katayama, S.; Tsutsumi, Y.</author>
    <title>Global existence of solutions for nonlinear Schr&#246;dinger equations in one space dimension</title>
    <journal>Commun. in P.D.E.</journal>
    <vol>19</vol>
    <year>1994</year>
    <page>1971-1997</page>
    <mr>MR1301179</mr>
    <score>100</score>
    <query_string>Cache/Ka/Katayama,existence,Commun*,1994,1995</query_string>
  </article>

  <article>
    <bibitem>13</bibitem>
    <author>Ozawa, T.</author>
    <title>On the nonlinear Schr&#246;dinger equations of derivative type</title>
    <journal>Indiana Univ. Math. J.</journal>
    <vol>45</vol>
    <year>1996</year>
    <page>137-163</page>
    <mr>MR1406687</mr>
    <score>100</score>
    <query_string>Cache/Oz/Ozawa,nonlinear,Indiana*,1996,1997</query_string>
  </article>

  <article>
    <bibitem>14</bibitem>
    <author>Soyeur, A.</author>
    <title>The Cauchy problem for the Ishimori equations</title>
    <journal>J. Funct. Anal.</journal>
    <vol>105</vol>
    <year>1992</year>
    <page>233-255</page>
    <mr>MR1160079</mr>
    <score>100</score>
    <query_string>Cache/So/Soyeur,Ishimori,J*,1992,1993</query_string>
  </article>

  <book>
    <bibitem>15</bibitem>
    <author>Stein, E. M.</author>
    <booktitle>Singular Integral and Differentiability Properties of Functions</booktitle>
    <publisher>Princeton Univ. Press, Princeton Math. Series 30</publisher>
    <year>1970</year>
    <mr>MR0290095</mr>
    <score>85</score>
    <query_string>Cache/St/Stein,Differentiability,*,1970,1971</query_string>
    <page>xiv+290</page>
  </book>

  <article>
    <bibitem>16</bibitem>
    <author>Tsutsumi, Y.</author>
    <title>The null gauge condition and the one dimensional nonlinear Schr&#246;dinger equation with cubic nonlinearity</title>
    <journal>Indiana Univ. Math. J.</journal>
    <vol>43</vol>
    <year>1994</year>
    <page>241-254</page>
    <mr>MR1275461</mr>
    <score>92</score>
    <query_string>Cache/Ts/Tsutsumi,dimensional,Indiana*,1994,1995</query_string>
  </article>

</references>
</top_article>
