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<top_article>
<mrnumber>MR1975053</mrnumber>
<author>Mitsuhiro NAKAO and Jeong Ja BAE</author>
<author_utf8>Mitsuhiro NAKAO and Jeong Ja BAE</author_utf8>
<title>Existence of Global Solutions to the Cauchy Problem of Kirchhoff Type Quasilinear Wave Equation with Weakly Nonlinear Dissipation</title>
<journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
<volume>45</volume>
<year>2002</year>
<page>387--395</page>
<url_pdf>http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol45/fe45-3-4.pdf</url_pdf>
<mathsci_link>http://www.ams.org/mathscinet-getitem?mr=MR1975053</mathsci_link>
<fesi_info>
  <FILE>45-387</FILE>
  <YEAR>2002</YEAR>
  <TITLE>Existence of Global Solutions to the Cauchy Problem of Kirchhoff Type Quasilinear Wave Equation with Weakly Nonlinear Dissipation</TITLE>
  <AUTHOR>Mitsuhiro NAKAO and Jeong Ja BAE</AUTHOR>
  <AUTHOR_utf8>Mitsuhiro NAKAO and Jeong Ja BAE</AUTHOR_utf8>
</fesi_info>

<references>

<article>
<bibitem>1</bibitem>
<author>Arosio, A.; Garavaldi, S.</author>
<title>On the mildly degenerate Kirchhoff string</title>
<journal>Math. Methods Appl. Sci.</journal>
<vol>14</vol>
<year>1991</year>
<page>177-195</page>
<mr>MR1099324</mr>
</article>

<article>
<bibitem>2</bibitem>
<author>Lasiecka, I.; Ong, J.</author>
<title>Global solvability and uniform decays of solutions to quasilinear equation with nonlinear boundary dissipation</title>
<journal>Comm. Partial Diff. Eqs.</journal>
<vol>24</vol>
<year>1999</year>
<page>2069-2107</page>
<mr>MR1720766</mr>
</article>

<article>
<bibitem>3</bibitem>
<author>Matsuyama, T.; Ikehata, R.</author>
<title>On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping</title>
<journal>J. Math. Anal. Appl.</journal>
<vol>204</vol>
<year>1996</year>
<page>729-753</page>
<mr>MR1422769</mr>
</article>

<article>
<bibitem>4</bibitem>
<author>Mizumachi, T.</author>
<title>Time decay of solutions for degenerate Kirchoff equation</title>
<journal>Nonlinear Analysis</journal>
<vol>33</vol>
<year>1998</year>
<page>235-252</page>
<mr>MR1617984</mr>
</article>

<article>
<bibitem>5</bibitem>
<author>Mochizuki, K.</author>
<title>Global existence and energy decay of small solutions to the Kirchhoff equation with linear dissipation localized near infinity</title>
<journal>J. Math. Kyoto Univ.</journal>
<vol>39</vol>
<year>1999</year>
<page>347-363</page>
<mr>MR1709298</mr>
</article>

<fearticle>
<bibitem>6</bibitem>
<author>Nishihara, K.; Yamada, Y.</author>
<title>On global solutions of some degenerate quasilinear hyperbolic equations with dissipative terms</title>
<journal>Funk. Ekvac.</journal>
<vol>33</vol>
<year>1990</year>
<page>151-159</page>
<mr>MR1065473</mr>
<feart>1065473</feart>
</fearticle>

<fearticle>
<bibitem>7</bibitem>
<author>Ono, K.</author>
<title>Global existence and decay properties of solutions for some mildly degenerate nonlinear dissipative Kirchhoff strings</title>
<journal>Funk. Ekvac.</journal>
<vol>40</vol>
<year>1997</year>
<page>255-270</page>
<mr>MR1480278</mr>
<feart>1480278</feart>
</fearticle>

<article>
<bibitem>8</bibitem>
<author>Ono, K.</author>
<title>On global solutions and blow up solutions of nonlinear Kirchhoff strings with nonlinear dissipations</title>
<journal>J. Math. Anal. Appl.</journal>
<vol>216</vol>
<year>1997</year>
<page>321-347</page>
<mr>MR1487267</mr>
</article>

<article>
<bibitem>9</bibitem>
<author>Yamada, Y.</author>
<title>On some quasilinear wave equations with dissipative terms</title>
<journal>Nagoya Math. J.</journal>
<vol>187</vol>
<year>1982</year>
<page>17-39</page>
<mr>MR0676584</mr>
</article>

<article>
<bibitem>10</bibitem>
<author>Yamazaki, T.</author>
<title>Scattering for a quasilinear hyperbolic equation of Kirchhoff type</title>
<journal>J. Differential Equations</journal>
<vol>143</vol>
<year>1998</year>
<page>l-59</page>
<mr>MR1604955</mr>
</article>

</references>
</top_article>
