<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="f3.xsl"?>
<top_article>
<mrnumber>MR1893942</mrnumber>
<author>Ryo IKEHATA</author>
<author_utf8>Ryo IKEHATA</author_utf8>
<title>Energy Decay of Solutions for the Semilinear Dissipative Wave Equations in an Exterior Domain</title>
<journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
<volume>44</volume>
<year>2001</year>
<page>487--499</page>
<url_pdf>http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol44/fe44-3-5.pdf</url_pdf>
<mathsci_link>http://www.ams.org/mathscinet-getitem?mr=MR1893942</mathsci_link>
<fesi_info>
  <FILE>44-487</FILE>
  <YEAR>2001</YEAR>
  <TITLE>Energy Decay of Solutions for the Semilinear Dissipative Wave Equations in an Exterior Domain</TITLE>
  <AUTHOR>Ryo IKEHATA</AUTHOR>
  <AUTHOR_utf8>Ryo IKEHATA</AUTHOR_utf8>
</fesi_info>

<references>


<fearticle>
<bibitem>1</bibitem>
<author>Dan, W.; Shibata, Y.</author>
<title>On a local energy decay of solutions of a dissipative wave equation</title>
<journal>Funkcial. Ekvac.</journal>
<vol>38</vol>
<year>1995</year>
<page>545-568</page>
<mr>MR1374437</mr>
<feart>1374437</feart>
</fearticle>

<article>
<bibitem>2</bibitem>
<author>Ikehata, R.; Matsuyama, T.</author>
<title>Remarks on the behaviour of solutions to the linear wave equations in unbounded domains</title>
<journal>Proc. Sch. Sci. Tokai Univ.</journal>
<vol>36</vol>
<year>2001</year>
<page>1-13</page>
<mr>MR1822906</mr>
</article>

<other>
<bibitem>3</bibitem>
<raw_data>Ikehata, R.; Matsuyama, T., $L^2$-behaviour of solutions to the linear heat and wave equations in exterior domains, to appear in Math. Japon</raw_data>
<mr>MR1441504</mr>
</other>

<article>
<bibitem>4</bibitem>
<author>Kawashima, S.; Nakao, M.; Ono, K.</author>
<title>On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term</title>
<journal>J. Math. Soc. Japan</journal>
<vol>47</vol>
<year>1995</year>
<page>617-653</page>
<mr>MR1348752</mr>
</article>

<article>
<bibitem>5</bibitem>
<author>Morawetz, C.</author>
<title>The decay of solutions of the exterior initial-boundary value problem for the wave equation</title>
<journal>Comm. Pure Appl. Math.</journal>
<vol>14</vol>
<year>1961</year>
<page>561-568</page>
<mr>MR0132908</mr>
</article>

<article>
<bibitem>6</bibitem>
<author>Morawetz, C.</author>
<title>Exponential decay of solutions of the wave equations</title>
<journal>Comm. Pure Appl. Math.</journal>
<vol>19</vol>
<year>1966</year>
<page>439-444</page>
<mr>MR204828</mr>
</article>

<article>
<bibitem>7</bibitem>
<author>Nakao, M.</author>
<title>Stabilization of local energy in an exterior domain for the wave equation with a localized dissipation</title>
<journal>J. Diff. Eq.</journal>
<vol>148</vol>
<year>1998</year>
<page>388-406</page>
<mr>MR1643195</mr>
</article>

<other>
<bibitem>8</bibitem>
<raw_data>Nakao, M., Existence of global decaying solutions in exterior domains for the semilinear wave equations with some localized dissipations, to appear in Math. Z.</raw_data>
<mr>MR1091942</mr>
</other>

<article>
<bibitem>9</bibitem>
<author>Nakao, M.; Ono, K.</author>
<title>Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations</title>
<journal>Math. Z.</journal>
<vol>214</vol>
<year>1993</year>
<page>325-342</page>
<mr>MR1240892</mr>
</article>

<article>
<bibitem>10</bibitem>
<author>Saeki, A.; Ikehata, R.</author>
<title>Remarks on the decay rate for the energy of the dissipative linear wave equations in exterior domains</title>
<journal>SUT J. Math.</journal>
<vol>36</vol>
<year>2000</year>
<page>267-277</page>
<mr>MR1810467</mr>
</article>

<article>
<bibitem>11</bibitem>
<author>Shibata, Y.</author>
<title>On the global existence theorem of classical solutions of second order fully nonlinear hyperbolic equations with first order disspation in the exterior domain</title>
<journal>Tsukuba J. Math.</journal>
<vol>7</vol>
<year>1983</year>
<page>1-68</page>
<mr>MR0703667</mr>
</article>

</references>
</top_article>
