<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>Strichartz estimates for the wave and Schrodinger equations with potentials of critical decay</dc:title>
<dc:creator>Nicolas Burq</dc:creator><dc:creator>Fabrice Planchon</dc:creator><dc:creator>John Stalker</dc:creator><dc:creator>A. Tahvildar-Zadeh</dc:creator>
<dc:subject>35L15</dc:subject><dc:subject>35B45</dc:subject><dc:subject>35Q40</dc:subject><dc:subject>35L05</dc:subject><dc:subject>wave equation</dc:subject><dc:subject>Schrodinger equation</dc:subject><dc:subject>singular potentials</dc:subject><dc:subject>Strichartz estimate</dc:subject><dc:subject>Morawetz estimate</dc:subject><dc:subject>resolvent estimate</dc:subject><dc:subject>point-dipole potential</dc:subject>
<dc:description>We prove weighted $L^2$ estimates for the solutions of linear Schroedinger and wave equation with potentials that decay like $|x|^{-2}$ for large $x$, by deducing them from estimates on the resolvent of the associated elliptic operator. We then deduce Strichartz estimates for these equations.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2004</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2004.53.2541</dc:identifier>
<dc:source>10.1512/iumj.2004.53.2541</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 53 (2004) 1667 - 1682</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>