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 <mrnumber>MR0265744</mrnumber>
 <author>Kusano, Taka{\^s}i</author>
 <author_utf8>Taka&#349;i KUSANO</author_utf8>
 <title>On the growth of solutions of parabolic differential               inequalities with unbounded coefficients</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>13</volume>
 <year>1970</year>
 <page>45--50</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol13/fe13-5.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE11-20-en_KML/fe13-045-050/fe13-045-050.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0265744</mathsci_link>
<fesi_info>
  <FILE>fe13-045-050</FILE>
  <YEAR>1970</YEAR>
  <TITLE>On the Growth of Solutions of Parabolic Differential Inequalities with Unbounded Coefficients</TITLE>
  <AUTHOR>Kusano, Takasi</AUTHOR>
  <AUTHOR_utf8>Kusano, Takasi</AUTHOR_utf8>
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<references>
  <article>
    <bibitem>1</bibitem>
    <author>Besala, P.</author>
    <title>On solutions of Fourier's first problem for a system of non-linear parabolic equations in an unbounded domain</title>
    <journal>Ann. Polon. Math.</journal>
    <vol>13</vol>
    <year>1963</year>
    <page>247-265</page>
    <mr>MR0179470</mr>
    <score>100</score>
    <query_string>Cache/Be/Besala,non-linear,Ann*,1963,1964</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Besala, P.; Fife, P.</author>
    <title>The unbounded growth of solutions of linear parabolic differential equations</title>
    <journal>Ann. Scuola Norm. Sup. Pisa, Ser. III</journal>
    <ser>III</ser>
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    <page>719-732</page>
    <mr>MR0206466</mr>
    <score>100</score>
    <query_string>Cache/Be/Besala,unbounded,Ann*,1966,1967</query_string>
  </article>

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    <bibitem>3</bibitem>
    <author>Krzyzanski, M.</author>
    <title>Certaines in&#233;galit&#233;s relatives aux solutions de l'&#233;quation parabolique normale</title>
    <journal>Bull. Acad. Polon. Sci. Math. Astr. Phys.</journal>
    <vol>7</vol>
    <year>1959</year>
    <page>131-135</page>
    <mr>MR0107082</mr>
    <score>90</score>
    <query_string>Cache/Kr/Krzyzanski,Certaines,Bull*,1959,1960</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Kusano, T.</author>
    <title>On the decay for large $|x|$ of solutions of parabolic equations with unbounded coefficients</title>
    <journal>Publ. Res. Inst. Math. Sci. Kyoto Univ., Ser. A</journal>
    <ser>A</ser>
    <vol>3</vol>
    <year>1967</year>
    <page>203-210</page>
    <mr>MR0229972</mr>
    <score>100</score>
    <query_string>Cache/Ku/Kusano,coefficients,Publ*,1967,1968</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Kusano, T.</author>
    <title>Asymptotic behavior of solutions of parabolic differential equations with unbounded coefficients</title>
    <journal>J. Sci. Hiroshima Univ., Ser. A-I</journal>
    <ser>A-I</ser>
    <vol>33</vol>
    <year>1969</year>
    <page>151-159</page>
    <mr>MR0265742</mr>
    <score>100</score>
    <query_string>Cache/Ku/Kusano,Asymptotic,J*,1969,1970</query_string>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Nirenberg, L.</author>
    <title>A strong maximum principle for parabolic equations</title>
    <journal>Comm. Pure Appl. Math.</journal>
    <vol>6</vol>
    <year>1953</year>
    <page>167-177</page>
    <mr>MR0055544</mr>
    <score>100</score>
    <query_string>Cache/Ni/Nirenberg,principle,Comm*,1953,1954</query_string>
  </article>

  <book>
    <bibitem>7</bibitem>
    <author>Protter, M. H.; Weinberger, H. F.</author>
    <booktitle>Maximum Principles in Differential Equations</booktitle>
    <publisher>Prentice-Hall, Englewood Cliffs, N. J.</publisher>
    <year>1967</year>
    <mr>MR0219861</mr>
    <score>100</score>
    <query_string>Cache/Pr/Protter,Principles,*,1967,1968</query_string>
    <page>x+261</page>
  </book>

  <article>
    <bibitem>8</bibitem>
    <author>Kuroda, T.</author>
    <title>Asymptotic behavior of solutions of parabolic equations with unbounded coefficients</title>
    <journal>Nagoya Math. J.</journal>
    <vol>37</vol>
    <year>1970</year>
    <page>5-12</page>
    <mr>MR0257574</mr>
    <score>100</score>
    <query_string>Cache/Ku/Kuroda,coefficients,Nagoya*,1970,1971</query_string>
  </article>

</references>
</top_article>
