<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="f1.xsl"?>
<top_article>
 <mrnumber>MR1086777</mrnumber>
 <author>Ishii, Katsuyuki and Yamada, Naoki</author>
 <author_utf8>Katsuyuki ISHII and Naoki YAMADA</author_utf8>
 <title>On the rate of convergence of solutions for the singular               perturbations of gradient obstacle problems</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>33</volume>
 <year>1990</year>
 <page>551--562</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol33/fe33-3-11.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE31-34-en_KML/fe33-551-562/fe33-551-562.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1086777</mathsci_link>
<fesi_info>
  <FILE>fe33-551-562</FILE>
  <YEAR>1990</YEAR>
  <TITLE>On the Rate of Convergence of Solutions for the Singular Perturbations of Gradient Obstacle Problems</TITLE>
  <AUTHOR>ISHII, Katsuyuki; YAMADA, Naoki</AUTHOR>
  <AUTHOR_utf8>ISHII, Katsuyuki; YAMADA, Naoki</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Evans, L. C.</author>
    <title>A second order elliptic equation with gradient constraint</title>
    <journal>Comm. Partial Differential Equations</journal>
    <vol>4</vol>
    <year>1979</year>
    <page>552-572</page>
    <mr>MR0529814</mr>
    <score>85</score>
    <query_string>Cache/Ev/Evans,constraint,Comm*,1979,1980</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Crandall, M. G.; Lions, P. -L.</author>
    <title>Viscosity solutions of Hamilton-Jacobi equations</title>
    <journal>Trans. Amer. Math. Soc.</journal>
    <vol>277</vol>
    <year>1983</year>
    <page>1-42</page>
    <mr>MR0690039</mr>
    <score>100</score>
    <query_string>Cache/Cr/Crandall,Hamilton-Jacobi,Trans*,1983,1984</query_string>
  </article>

  <book>
    <bibitem>3</bibitem>
    <author>Freidlin, M. I.; Wentzel, A. D.</author>
    <booktitle>Random Perturbations of Dynamical Systems</booktitle>
    <publisher>Springer, Berlin/Heidelberg/New York/Tokyo</publisher>
    <year>1984</year>
    <mr>MR0722136</mr>
    <score>100</score>
    <query_string>Cache/Fr/Freidlin,Perturbations,*,1984,1985</query_string>
    <page>viii+326</page>
  </book>

  <article>
    <bibitem>4</bibitem>
    <author>Ishii, H.; Koike, S.</author>
    <title>Boundary regularity and uniqueness for an elliptic equation with gradient constraint</title>
    <journal>Comm. Partial Differential Equations</journal>
    <vol>8</vol>
    <year>1983</year>
    <page>317-346</page>
    <mr>MR0693645</mr>
    <score>100</score>
    <query_string>Cache/Is/Ishii,regularity,Comm*,1983,1984</query_string>
  </article>

  <other>
    <bibitem>5</bibitem>
    <raw_data>Ishii, H.; Koike, S., Remarks on elliptic singular perturbation problems, to appear in Appl. Math. Optim.</raw_data>
    <mr>MR1076052</mr>
  </other>

  <article>
    <bibitem>6</bibitem>
    <author>Ishii, H.; Lions, P. -L.</author>
    <title>Viscosity solutions of fully nonlinear second-order partial differential equations</title>
    <journal>J. Differential Equations</journal>
    <vol>83</vol>
    <year>1990</year>
    <page>26-78</page>
    <mr>MR1031377</mr>
    <score>90</score>
    <query_string>Cache/Is/Ishii,second-order,J*,1990,1991</query_string>
  </article>

  <other>
    <bibitem>7</bibitem>
    <raw_data>Koike, S., On the rate of convergence of solutions in singular perturbation problems, to appear in J. Math. Anal. Appl.</raw_data>
    <mr>MR1109454</mr>
  </other>

  <article>
    <bibitem>8</bibitem>
    <author>Lions, P. -L.</author>
    <title>Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations, Part II. Viscosity solutions and uniqueness</title>
    <journal>Comm. Partial Differential Equations</journal>
    <vol>8</vol>
    <year>1983</year>
    <page>1229-1276</page>
    <mr>MR0709162</mr>
    <score>100</score>
    <query_string>Cache/Li/Lions,Hamilton-Jacobi-Bellman,Comm*,1983,1984</query_string>
  </article>

  <book>
    <bibitem>9</bibitem>
    <author>Lions, P. -L.</author>
    <booktitle>Generalized solutions of Hamilton-Jacobi equations</booktitle>
    <publisher>Pitman, Boston</publisher>
    <year>1982</year>
    <mr>MR0667669</mr>
    <score>100</score>
    <query_string>Cache/Li/Lions,Hamilton-Jacobi,*,1982,1983</query_string>
    <page>iv+317</page>
  </book>

  <article>
    <bibitem>10</bibitem>
    <author>Varadhan, S. R. S.</author>
    <title>On the behavior of the fundamental solution of the heat equation with variable coefficients</title>
    <journal>Comm. Pure Appl. Math.</journal>
    <vol>20</vol>
    <year>1967</year>
    <page>431-455</page>
    <mr>MR0208191</mr>
    <score>100</score>
    <query_string>Cache/Va/Varadhan,coefficients,Comm*,1967,1968</query_string>
  </article>

  <article>
    <bibitem>11</bibitem>
    <author>Yamada, N.</author>
    <title>The Hamilton-Jacobi-Bellman equation with a gradient constraint</title>
    <journal>J. Differential Equations</journal>
    <vol>71</vol>
    <year>1988</year>
    <page>185-199</page>
    <mr>MR0922203</mr>
    <score>100</score>
    <query_string>Cache/Ya/Yamada,Hamilton-Jacobi-Bellman,J*,1988,1989</query_string>
  </article>

</references>
</top_article>
