<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="f1.xsl"?>
<top_article>
 <mrnumber>MR1341739</mrnumber>
 <author>Ishii, Hitoshi</author>
 <author_utf8>Hitoshi ISHII</author_utf8>
 <title>On the equivalence of two notions of weak solutions, viscosity               solutions and distribution solutions</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>38</volume>
 <year>1995</year>
 <page>101--120</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol38/fe38-1-8.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE35-40-en_KML/fe38-101-120/fe38-101-120.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1341739</mathsci_link>
<fesi_info>
  <FILE>fe38-101-120</FILE>
  <YEAR>1995</YEAR>
  <TITLE>On the Equivalence of Two Notions of Weak Solutions, Viscosity Solutions and Distribution Solutions</TITLE>
  <AUTHOR>ISHII, Hitoshi</AUTHOR>
  <AUTHOR_utf8>ISHII, Hitoshi</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Aleksandrov, A. D.</author>
    <title>Almost everywhere existence of the second differential of a convex function and some properties of convex functions</title>
    <journal>Leningrad Univ. Ann. (Math. Ser)</journal>
    <ser>Math. Ser</ser>
    <vol>37</vol>
    <year>1937</year>
    <page>3-35</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Al/Aleksandrov,everywhere,Leningrad*,1937,1938</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Crandall, M. G.; Ishii, H.; Lions, P.-L.</author>
    <title>User's guide to viscosity solutions of second order partial differential equations</title>
    <journal>Bull. Amer. Math. Soc.</journal>
    <vol>27</vol>
    <year>1992</year>
    <page>1-67</page>
    <mr>MR1118699</mr>
    <score>100</score>
    <query_string>Cache/Cr/Crandall,viscosity,Bull*,1992,1993</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Ishii, H.</author>
    <title>On uniqueness and existence of viscosity solutions of fully nunlinear second order elliptic PDE's</title>
    <journal>Comm. Pure Appl. Math.</journal>
    <vol>42</vol>
    <year>1989</year>
    <page>15-45</page>
    <mr>MR0973743</mr>
    <score>76</score>
    <query_string>Cache/Is/Ishii,uniqueness,Comm*,1989,1990</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Ishii, H.; Lions, P.-L.</author>
    <title>Viscosity solutions of fully nonlinear second-order elliptic partial differential equations</title>
    <journal>J. Diff. Eqs.</journal>
    <vol>83</vol>
    <year>1990</year>
    <page>26-78</page>
    <mr>MR1031377</mr>
    <score>100</score>
    <query_string>Cache/Is/Ishii,second-order,J*,1990,1991</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Jensen, R.</author>
    <title>The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations</title>
    <journal>Arch. Rat. Mech. Anal.</journal>
    <vol>101</vol>
    <year>1988</year>
    <page>1-27</page>
    <mr>MR0920674</mr>
    <score>100</score>
    <query_string>Cache/Je/Jensen,principle,Arch*,1988,1989</query_string>
  </article>

  <book>
    <bibitem>6</bibitem>
    <author>Krylov, N. V.</author>
    <booktitle>Controlled Diffusion Processes</booktitle>
    <publisher>Springer-Verlag, New York</publisher>
    <year>1980</year>
    <mr>MR0601776</mr>
    <score>100</score>
    <query_string>Cache/Kr/Krylov,Controlled,*,1980,1981</query_string>
    <page>xii+308</page>
  </book>

  <article>
    <bibitem>7</bibitem>
    <author>Lions, P.-L.</author>
    <title>Control of diffusion processes in $R^N$</title>
    <journal>Comm. Pure Appl. Math.</journal>
    <vol>34</vol>
    <year>1981</year>
    <page>121-147</page>
    <mr>MR0600574</mr>
    <score>71</score>
    <query_string>Cache/Li/Lions,diffusion,Comm*,1981,1982</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Lions, P.-L.</author>
    <title>Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations, Part 2: Viscosity solutions and uniqueness</title>
    <journal>Comm. in P.D. E.</journal>
    <vol>8</vol>
    <year>1983</year>
    <page>1229-1276</page>
    <mr>MR0709162</mr>
    <score>92</score>
    <query_string>Cache/Li/Lions,Hamilton-Jacobi-Bellman,Comm*,1983,1984</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Lions, P.-L.</author>
    <title>Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations III</title>
    <journal>in Nonlinear partial differential equations and their applications, Coll&#232;ge de France Seminar (H. Brezis and J.-L. Lions, ed.), Vol. V, Pitman, Boston-London-Melbourne</journal>
    <year>1983</year>
    <page>95-205</page>
    <mr>MR0725360</mr>
    <score>75</score>
    <query_string>Cache/Li/Lions,Hamilton-Jacobi-Bellman,*,1983,1984</query_string>
  </article>

  <book>
    <bibitem>10</bibitem>
    <author>Stroock, D. W.; Varadhan, S. R. S.</author>
    <booktitle>Multidimensional diffusion processes</booktitle>
    <publisher>Springer-Verlag, New York</publisher>
    <year>1979</year>
    <mr>MR0532498</mr>
    <score>100</score>
    <query_string>Cache/St/Stroock,Multidimensional,*,1979,1980</query_string>
    <page>xii+338</page>
  </book>

</references>
</top_article>
