<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="f1.xsl"?>
<top_article>
 <mrnumber>MR1006090</mrnumber>
 <author>Yagi, Atsushi</author>
 <author_utf8>Atsushi YAGI</author_utf8>
 <title>Parabolic evolution equations in which the coefficients are               the generators of infinitely differentiable semigroups</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>32</volume>
 <year>1989</year>
 <page>107--124</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol32/fe32-1-7.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE31-34-en_KML/fe32-107-124/fe32-107-124.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1006090</mathsci_link>
<fesi_info>
  <FILE>fe32-107-124</FILE>
  <YEAR>1989</YEAR>
  <TITLE>Parabolic Evolution Equations in Which the Coefficients are the Generators of Infinitely Differentiable Semigroups</TITLE>
  <AUTHOR>YAGI, Atsushi</AUTHOR>
  <AUTHOR_utf8>YAGI, Atsushi</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Acquistapace, P.; Terreni, B.</author>
    <title>Maximal space regularity for abstract linear nonautonomous parabolic equations</title>
    <journal>J. Func. Anal.</journal>
    <vol>60</vol>
    <year>1985</year>
    <page>168-210</page>
    <mr>MR0777236</mr>
    <score>100</score>
    <query_string>Cache/Ac/Acquistapace,nonautonomous,J*,1985,1986</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Acquistapace, P.; Terreni, B.</author>
    <title>On the abstract nonautonomous parabolic Cauchy problem in the case of constant domains</title>
    <journal>Ann. Mat. Pura Appl.</journal>
    <vol>140</vol>
    <year>1985</year>
    <page>1-55</page>
    <mr>MR0807632</mr>
    <query_string>Cache/Ac/Acquistapace,non-autonomous,Ann*,1985,1986</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Acquistapace, P.; Terreni, B.</author>
    <title>Une m&#233;thod unifi&#233;e pour l'&#233;tude les &#233;quations lin&#233;aires non autonomes, paraboliques dans les espaces de Banach</title>
    <journal>C. R. Acade. Sc. Paris</journal>
    <vol>301</vol>
    <year>1985</year>
    <page>107-110</page>
    <mr>MR0799604</mr>
    <score>87</score>
    <query_string>Cache/Ac/Acquistapace,paraboliques,C*,1985,1986</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Acquistapace, P.; Terreni, B.</author>
    <title>Linear parabolic equations in Banach spaces with variable domains but constant interpolation spaces</title>
    <journal>Ann. Scuola Norm. Sup. Pisa</journal>
    <vol>13</vol>
    <year>1986</year>
    <page>75-107</page>
    <mr>MR0863636</mr>
    <query_string>Cache/Ac/Acquistapace,interpolaion,Ann*,1986,1987</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Amann, H.</author>
    <title>Dual semigroups and second order linear elliptic boundary value problems</title>
    <journal>Israel J. Math.</journal>
    <vol>45</vol>
    <year>1983</year>
    <page>225-254</page>
    <mr>MR0719122</mr>
    <score>100</score>
    <query_string>Cache/Am/Amann,semigroups,Israel*,1983,1984</query_string>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Amann, H.</author>
    <title>On abstract parabolic fundamental solution</title>
    <journal>J. Math. Soc. Japan</journal>
    <vol>39</vol>
    <year>1987</year>
    <page>93-116</page>
    <mr>MR0867989</mr>
    <score>80</score>
    <query_string>Cache/Am/Amann,fundamental,J*,1987,1988</query_string>
  </article>

  <article>
    <bibitem>7</bibitem>
    <author>Kajitani, K.</author>
    <title>The Cauchy problem for nonlinear hyperbolic systems</title>
    <journal>Bui. Sc. Math.</journal>
    <vol>110</vol>
    <year>1986</year>
    <page>3-48</page>
    <mr>MR0861667</mr>
    <query_string>Cache/Ka/Kajitani,hyperbolic,Bui*,1986,1987</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Kato, Y.</author>
    <title>Abstract evolution equations of parabolic type in Banach and Hilbert spaces</title>
    <journal>Nagoya Math. J.</journal>
    <vol>19</vol>
    <year>1961</year>
    <page>93-125</page>
    <mr>MR0143065</mr>
    <score>100</score>
    <query_string>Cache/Ka/Kato,evolution,Nagoya*,1961,1962</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Kato, T.; Tanabe, H.</author>
    <title>On the abstract evolution equation</title>
    <journal>Osaka Math., J.</journal>
    <vol>14</vol>
    <year>1962</year>
    <page>107-133</page>
    <mr>MR0140954</mr>
    <score>100</score>
    <query_string>Cache/Ka/Kato,evolution,Osaka*,1962,1963</query_string>
  </article>

  <article>
    <bibitem>10</bibitem>
    <author>Park, D. G.</author>
    <title>Initial-boundary value problem for parabolic equation in $L^1$</title>
    <journal>Proc. Japan Acad.</journal>
    <vol>62</vol>
    <year>1986</year>
    <page>178-180</page>
    <mr>MR0854213</mr>
    <score>88</score>
    <query_string>Cache/Pa/Park,Initial-boundary,Proc*,1986,1987</query_string>
  </article>

  <article>
    <bibitem>11</bibitem>
    <author>Sinestrari, E.</author>
    <title>On the abstract Cauchy problem of parabolic type in spaces of continuous functions</title>
    <journal>J. Math. Anal. Appl.</journal>
    <vol>107</vol>
    <year>1985</year>
    <page>16-66</page>
    <mr>MR0786012</mr>
    <score>100</score>
    <query_string>Cache/Si/Sinestrari,continuous,J*,1985,1986</query_string>
  </article>

  <article>
    <bibitem>12</bibitem>
    <author>Sobolevski, P. E.</author>
    <title>Parabolic equations in Banach space with an unbounded variable operator, a fractional power of which has a constant domain of definition</title>
    <journal>Soviet Math. Dokl.</journal>
    <vol>2</vol>
    <year>1961</year>
    <page>545-548</page>
    <mr>MR0159142</mr>
    <query_string>Cache/So/Sobolevski,fractional,Soviet*,1961,1962</query_string>
  </article>

  <article>
    <bibitem>13</bibitem>
    <author>Sobolevski, P. E.</author>
    <title>Equations of parabolic type in Banach space</title>
    <journal>Amer. Math. Soc. Transl. Ser. 2</journal>
    <vol>49</vol>
    <year>1966</year>
    <page>1-62</page>
    <mr>MR0141900</mr>
    <query_string>Cache/So/Sobolevski,*,Amer*,1966,1967</query_string>
  </article>

  <article>
    <bibitem>14</bibitem>
    <author>Stewart, H. B.</author>
    <title>Generation of analytic semigroups by strongly elliptic operators</title>
    <journal>Trans. Amer. Math. Soc.</journal>
    <vol>199</vol>
    <year>1974</year>
    <page>141-162</page>
    <mr>MR0358067</mr>
    <score>100</score>
    <query_string>Cache/St/Stewart,Generation,Trans*,1974,1975</query_string>
  </article>

  <article>
    <bibitem>15</bibitem>
    <author>Stewart, H. B.</author>
    <title>Generation of analytic semigroups by strongly elliptic operators under general boundary conditions</title>
    <journal>Trans. Amer. Math., Soc.</journal>
    <vol>259</vol>
    <year>1980</year>
    <page>299-310</page>
    <mr>MR0561838</mr>
    <score>100</score>
    <query_string>Cache/St/Stewart,Generation,Trans*,1980,1981</query_string>
  </article>

  <article>
    <bibitem>16</bibitem>
    <author>Taira, K.</author>
    <title>Un th&#233;orem d'existence et d'unicit&#233; des solutions pour des probl&#232;me aus limites non-elliptiques</title>
    <journal>J. Func. Anal.</journal>
    <vol>43</vol>
    <year>1981</year>
    <page>166-192</page>
    <mr>MR0633974</mr>
    <score>76</score>
    <query_string>Cache/Ta/Taira,non-elliptiques,J*,1981,1982</query_string>
  </article>

  <article>
    <bibitem>17</bibitem>
    <author>Tanabe, H.</author>
    <title>Remarks on the equations of evolution in a Banach space</title>
    <journal>Osaka Math. J.</journal>
    <vol>12</vol>
    <year>1960</year>
    <page>145-166</page>
    <mr>MR0125454</mr>
    <score>100</score>
    <query_string>Cache/Ta/Tanabe,Remarks,Osaka*,1960,1961</query_string>
  </article>

  <article>
    <bibitem>18</bibitem>
    <author>Tanabe, H.</author>
    <title>Note on singular perturbation for abstract differencial equations</title>
    <journal>Osaka J. Math.</journal>
    <vol>1</vol>
    <year>1964</year>
    <page>239-252</page>
    <mr>MR0172142</mr>
    <score>87</score>
    <query_string>Cache/Ta/Tanabe,perturbation,Osaka*,1964,1965</query_string>
  </article>

  <article>
    <bibitem>19</bibitem>
    <author>Von Wahl, W.</author>
    <title>Gebrochen potenzen eines elliptischen operators und parabolische differentialleichungen in raumen h&#246;lderstetiger funktionen</title>
    <journal>Nachr. Akad. Wiss G&#246;ttingen Math. Phys. Kl.</journal>
    <vol>II</vol>
    <year>1972</year>
    <page>231-258</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Vo/Von Wahl,differentialleichungen,Nachr*,1972,1973</query_string>
  </article>

  <article>
    <bibitem>20</bibitem>
    <author>Von Wahl, W.</author>
    <title>Einige bemerkungen zu meiner arbeit "Gebrochen potenzen eines elliptischen operators und parabolische differentialgleichungen in raumen h&#246;lderstetiger funktionen"</title>
    <journal>Manuscripta Math.</journal>
    <vol>11</vol>
    <year>1974</year>
    <page>199-201</page>
    <mr>MR0340821</mr>
  </article>

  <article>
    <bibitem>21</bibitem>
    <author>Yagi, A.</author>
    <title>On the abstract linear evolution equations in Banach spaces</title>
    <journal>J. Math. Soc. Japan</journal>
    <vol>28</vol>
    <year>1976</year>
    <page>290-303</page>
    <mr>MR0397478</mr>
    <score>100</score>
    <query_string>Cache/Ya/Yagi,evolution,J*,1976,1977</query_string>
  </article>

  <article>
    <bibitem>22</bibitem>
    <author>Yagi, A.</author>
    <title>On the abstract evolution equation of parabolic type</title>
    <journal>Osaka J. Math.</journal>
    <vol>14</vol>
    <year>1977</year>
    <page>557-568</page>
    <mr>MR0499587</mr>
    <score>100</score>
    <query_string>Cache/Ya/Yagi,evolution,Osaka*,1977,1978</query_string>
  </article>

  <book>
    <bibitem>23</bibitem>
    <author>Krein, S. G.</author>
    <booktitle>Linear differential equations in Banach space</booktitle>
   <publisher>Moskow</publisher>
    <year>1967 (in Russian). English translation, Trans. Math. Mono. 29, A.M.S., Providence, 1971</year>
    <page>v+390</page>
    <mr>MR0342804</mr>
    <score>100</score>
    <query_string>Cache/Kr/Krein,Linear,*,1971,1972</query_string>
  </book>

  <book>
    <bibitem>24</bibitem>
    <author>Tanabe, H.</author>
    <booktitle>Equation of evolution</booktitle>
<publisher>Tokyo, Iwanami</publisher>
    <year>1975 (in Japanese). English translation, London, Pitman, 1979</year>
    <page>xii+260</page>
    <mr>MR0533824</mr>
  </book>

</references>
</top_article>
