<div dir="ltr"><p class="" style="text-align:center"><span style="font-size:18pt;font-family:'Times New Roman',serif">SEMINARIO
DI MATEMATICA</span></p>

<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:'Times New Roman',serif">Mercoledì 2 dicembre 2015</span><span style="font-size:16pt;font-family:'Times New Roman',serif"></span></p>

<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:'Times New Roman',serif">ore 16:30</span></p>

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<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><u><span style="font-size:16pt;font-family:'Times New Roman',serif">Scuola Normale Superiore</span></u></p>

<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:'Times New Roman',serif">Pisa</span></p>

<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:'Times New Roman',serif">Aula Mancini</span></p>

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<pre style="text-align:center"><b><span style="font-size:22pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">Manuel Del Pino</span></b></pre><pre style="text-align:center"><i><span style="font-size:12pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">(Universidad de Chile</span>)<b></b></i></pre><pre style="text-align:center"><i><span style="font-size:12pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial"> </span></i></pre>

<p class="MsoNormal" align="center" style="text-align:center"><span style="font-size:16pt;font-family:'Times New Roman',serif">Terrà un
seminario dal titolo:</span></p>

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<p class="MsoNormal" align="center" style="text-align:center"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif">“<span style="background-image:initial;background-repeat:initial">Bubbling
blow-up in critical parabolic problems</span></span>”</b></p>

<p class="MsoNormal" align="center" style="text-align:center"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif"> </span></b></p>

<p class="MsoNormal" style="text-align:justify"><b><span lang="EN-US" style="font-family:'Times New Roman',serif">Abstract:</span></b></p>

<p class="MsoNormal" style="text-align:justify"><font face="arial, helvetica, sans-serif"><i><span lang="EN-US" style="background-image:initial;background-repeat:initial">We construct solutions
with finite and infinite type-II blow-up (and analyze their stability) in two
related parabolic problems:</span></i><i><span lang="EN-US"> <span style="background-image:initial;background-repeat:initial">the standard
semilinear heat equation with a power nonlinearity at the critical exponent in
a bounded domain in RN, and the harmonic map flow from a two-dimensional</span>
<span style="background-image:initial;background-repeat:initial">domain  into the sphere S2.  Both
problems have stationary states with energy scaling-invariance  in entire
space  which are the building blocks of the bubbling patterns.</span></span></i><i><span lang="EN-US"></span></i></font></p>

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<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif">Tutti gli
interessati sono invitati a partecipare.</span></p>

<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif"> </span></p>

<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif">Classe di Scienze
Matematiche e Naturali</span></p>

<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif"> </span></p><div><div class="gmail_signature"><div dir="ltr"><div>Valeria Giuliani</div><div>Scuola Normale Superiore</div><div>Servizio alla Didattica e Allievi</div><div>tel. 050 509260</div><div>Piazza dei Cavalieri, 7</div><div>56126 Pisa</div><div>E-mail: <a href="mailto:valeria.giuliani@sns.it" target="_blank">valeria.giuliani@sns.it</a></div><div>E-mail: <a href="mailto:classi@sns.it" target="_blank">classi@sns.it</a></div></div></div></div>
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