<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="f1.xsl"?>
<top_article>
 <mrnumber>MR1172425</mrnumber>
 <author>Senba, Takasi</author>
 <author_utf8>Takasi SENBA</author_utf8>
 <title>On the level sets of the solutions for {$u\sb t=u\sb               {xx}+f(u)$} with {$f(u)=u\sp \alpha$} or {$u(\log(1/u))\sp               \beta\sb +$}</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>35</volume>
 <year>1992</year>
 <page>117--135</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol35/fe35-1-9.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE35-40-en_KML/fe35-117-135/fe35-117-135.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1172425</mathsci_link>
<fesi_info>
  <FILE>fe35-117-135</FILE>
  <YEAR>1992</YEAR>
  <TITLE>On the Level Sets of the Solutions for $u_t=u_{xx}+f(u)$ with $f(u)=u^\alpha$ or $u(\log(1/u))^\beta_+$</TITLE>
  <AUTHOR>SENBA, Takasi</AUTHOR>
  <AUTHOR_utf8>SENBA, Takasi</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Aguirre, J.; Escobedo, M.</author>
    <title>A Cauchy problem for $u_t-\Delta u=u^p$ with $0&lt;p&lt;1$</title>
    <journal>Annal. Fac. Sci. Toulouse</journal>
    <vol>8</vol>
    <year>1986/1987</year>
    <page>175-203</page>
    <mr>MR0928843</mr>
  </article>

  <book>
    <bibitem>2</bibitem>
    <author>Cannon, R. S.</author>
    <booktitle>The one-dimensional heat equation</booktitle>
    <publisher>Addison-Wesley Publ.</publisher>
    <year>1984</year>
    <mr>MR0747979</mr>
    <score>100</score>
    <query_string>Cache/Ca/Cannon,one-dimensional,*,1984,1985</query_string>
    <page>xxv+483</page>
  </book>

  <article>
    <bibitem>3</bibitem>
    <author>Fujita, H.</author>
    <title>On the blowing up of solutions of the Cauchy problem for $u_t=\Delta u+u^{1+\alpha}$</title>
    <journal>J. Fac. Sci. Univ. Tokyo Sect. I</journal>
    <vol>13</vol>
    <year>1966</year>
    <page>109-124</page>
    <mr>MR0214914</mr>
    <query_string>Cache/Fu/Fujita,solutions,J*,1977,1978</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Terman, D.</author>
    <title>A free boundary problem arising from a bistable reaction-diffusion equation</title>
    <journal>SIAM J. Math. Anal.</journal>
    <vol>14</vol>
    <year>1983</year>
    <page>1107-1129</page>
    <mr>MR0718812</mr>
    <score>100</score>
    <query_string>Cache/Te/Terman,reaction-diffusion,SIAM*,1983,1984</query_string>
  </article>

</references>
</top_article>
