<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="f1.xsl"?>
<top_article>
 <mrnumber>MR0915266</mrnumber>
 <author>Tsutsumi, Yoshio</author>
 <author_utf8>Yoshio TSUTSUMI</author_utf8>
 <title>{$L\sp 2$}-solutions for nonlinear Schr\"odinger equations               and nonlinear groups</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>30</volume>
 <year>1987</year>
 <page>115--125</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol30/fe30-1-11.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE21-30-en_KML/fe30-115-125/fe30-115-125.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0915266</mathsci_link>
<fesi_info>
  <FILE>fe30-115-125</FILE>
  <YEAR>1987</YEAR>
  <TITLE>$L^2$-Solutions for Nonlinear Schr&#246;dinger Equations and Nonlinear Groups</TITLE>
  <AUTHOR>TSUTSUMI, Yoshio</AUTHOR>
  <AUTHOR_utf8>TSUTSUMI, Yoshio</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Baillon, J. B.; Cazenave, T.; Figueira, M.</author>
    <title>&#201;quation de Schr&#246;dinger nonlin&#233;aire</title>
    <journal>C. R. Acad. Sci., Paris</journal>
    <vol>284</vol>
    <year>1977</year>
    <page>869-872</page>
    <mr>MR0433025</mr>
    <score>100</score>
    <query_string>Cache/Ba/Baillon,*,C*,1977,1978</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Ginibre, J.; Velo, G.</author>
    <title>On a class of nonlinear Schr&#246;dinger equations. I: The Cauchy problem</title>
    <journal>J. Funct. Anal.</journal>
    <vol>32</vol>
    <year>1979</year>
    <page>1-32</page>
    <mr>MR0533218</mr>
    <score>76</score>
    <query_string>Cache/Gi/Ginibre,nonlinear,J*,1979,1980</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Ginibre, J.; Velo, G.</author>
    <title>Theorie de la diffusion dans l'espace d'energie pour une classe d'equations de Schr&#246;dinger non lineaire</title>
    <journal>C. R. Acad. Sci., Paris</journal>
    <vol>298</vol>
    <year>1984</year>
    <page>137-140</page>
    <mr>MR0741079</mr>
    <score>93</score>
    <query_string>Cache/Gi/Ginibre,d'equations,C*,1984,1985</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Pecher, H.; von Wahl, W.</author>
    <title>Time dependent nonlinear Schr&#246;dinger equations</title>
    <journal>Manuscripta Math.</journal>
    <vol>27</vol>
    <year>1979</year>
    <page>125-157</page>
    <mr>MR0526824</mr>
    <score>100</score>
    <query_string>Cache/Pe/Pecher,dependent,Manuscripta*,1979,1980</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Strauss, W. A.</author>
    <title>On weak solutions of semi-linear hyperbolic equations</title>
    <journal>An. Acad. Brasil. Cienc.</journal>
    <vol>42</vol>
    <year>1970</year>
    <page>645-651</page>
    <mr>MR0306715</mr>
    <score>100</score>
    <query_string>Cache/St/Strauss,semi-linear,An*,1970,1971</query_string>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Strauss, W. A.</author>
    <title>The nonlinear Schr&#246;dinger equation</title>
    <journal>in "Contemporary Developments in Continuum Mechanics and Partial Differential Equations", North-Holland, Amsterdam-New York-Oxford</journal>
    <year>1978</year>
<page>452-465</page>
    <mr>MR0519654</mr>
  </article>

  <article>
    <bibitem>7</bibitem>
    <author>Strauss, W. A.</author>
    <title>Everywhere defined wave operators</title>
    <journal>in "Nonlinear Evolution Equations", Academic Press, New York</journal>
    <year>1978</year>
    <page>85-102</page>
    <mr>MR0513813</mr>
    <query_string>Cache/St/Strauss,Everywhere,*,1978,1979</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Strichartz, R. S.</author>
    <title>Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations</title>
    <journal>Duke Math. J.</journal>
    <vol>44</vol>
    <year>1977</year>
    <page>705-714</page>
    <mr>MR0512086</mr>
    <score>100</score>
    <query_string>Cache/St/Strichartz,Restrictions,Duke*,1977,1978</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Tsutsumi, M.</author>
    <title>Weighted Sobolev spaces and rapidly decreasing solutions of some nonlinear dispersive wave equations</title>
    <journal>J. Differential Equations</journal>
    <vol>42</vol>
    <year>1981</year>
    <page>260-281</page>
    <mr>MR0641651</mr>
    <score>100</score>
    <query_string>Cache/Ts/Tsutsumi,decreasing,J*,1981,1982</query_string>
  </article>

  <article>
    <bibitem>10</bibitem>
    <author>Tsutsumi, M.; Hayashi, N.</author>
    <title>Classical solutions of nonlinear Schr&#246;dinger equations in higher dimensions</title>
    <journal>Math. Z.</journal>
    <vol>177</vol>
    <year>1981</year>
    <page>217-234</page>
    <mr>MR0612876</mr>
    <score>100</score>
    <query_string>Cache/Ts/Tsutsumi,Classical,Math*,1981,1982</query_string>
  </article>

  <other>
    <bibitem>11</bibitem>
    <raw_data>Tsutsumi, Y., Global existence and asymptotic behavior of solutions for nonlinear Schr&#246;dinger equations, Doctor thesis, University of Tokyo, 1985</raw_data>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Ts/Tsutsumi,asymptotic,*,1985,1986</query_string>
  </other>

  <book>
    <bibitem>12</bibitem>
    <author>Reed, M.; Simon, B.</author>
    <booktitle>Methods of Modern Mathematical Physics, Vol. II: Fourier Analysis and Self-adjointness</booktitle>
    <publisher>Academic Press, New York</publisher>
    <year>1975</year>
    <mr>MR0493420</mr>
    <page>xvii+325</page>
  </book>

</references>
</top_article>
