<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Stability of large solutions to quasilinear wave equations</dc:title>
<dc:creator>Serge Alinhac</dc:creator>
<dc:subject>35L40quasilinear wave equations</dc:subject><dc:subject>global existence</dc:subject><dc:subject>stability</dc:subject><dc:subject>energy inequalities</dc:subject><dc:subject>conformal inversion</dc:subject><dc:subject>blowup</dc:subject><dc:subject>blowup at infinity</dc:subject>
<dc:description>We investigate the stability of (large) global $C^{\infty}$ solutions to quasilinear wave equations satisfying the null condition in $\mathbb{R}_{x}^{3} \times \left[0, {+}\infty \right[$. We give sufficient conditions for such a solution to be stable and have a free representation, and discuss the connection between stability and blowup at infinity.  This latter concept is defined using a conformal inversion.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2009</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2009.58.4103</dc:identifier>
<dc:source>10.1512/iumj.2009.58.4103</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 58 (2009) 2543 - 2574</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>