<div dir="ltr"><p class="gmail-MsoTitle" style="text-align:center"><span style="font-size:18pt;font-family:"Times New Roman",serif"><br>SEMINARIO
DI MATEMATICA</span><span style="font-family:"Times New Roman",serif;font-size:16pt"> </span></p>

<p class="gmail-MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:"Times New Roman",serif">Lunedì 11 dicembre 2017</span><span style="font-size:16pt;font-family:"Times New Roman",serif"><span></span></span></p>

<p class="gmail-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 11:00</span><span style="font-family:"Times New Roman",serif;font-size:16pt"> </span></p>

<p class="gmail-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></span></span></u></p>

<p class="gmail-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></span></span></p>

<p class="gmail-MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Aula Bianchi<span></span></span></p>

<p class="gmail-MsoNormal"><b><u><span style="font-size:16pt;font-family:"Times New Roman",serif"><span><span style="text-decoration-line:none"> </span></span></span></u></b></p>

<p class="gmail-MsoNormal" align="center" style="text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span class="gmail-apple-converted-space"><b><span lang="EN-US" style="font-size:22pt;font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">  </span></b></span><b><span lang="EN-US" style="font-size:22pt;font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Norihisa Ikoma<span></span></span></b></p>

<p class="gmail-MsoNormal" align="center" style="text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><i><span lang="EN-US" style="font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">(University of Kanazawa) </span></i><b><i><span lang="EN-US" style="font-family:"Times New Roman",serif"><span></span></span></i></b></p>

<p class="gmail-MsoNormal" align="center" style="text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><i><span lang="EN-US" style="font-family:"Times New Roman",serif"><span> </span></span></i></p>

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

<p class="gmail-MsoNormal" align="center" style="text-align:center"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>

<h1 style="margin-top:0cm;text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span lang="EN-US" style="font-size:22pt;font-family:"Times New Roman",serif;color:windowtext">“</span><span lang="EN-US" style="font-size:22pt;font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">A minimizing problem with two
constraint conditions</span><span lang="EN-US" style="font-size:22pt;font-family:"Times New Roman",serif;color:windowtext">”</span><span lang="EN-US" style="font-size:22pt;font-family:"Times New Roman",serif"><span></span></span></h1>

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

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

<p class="gmail-MsoNormal" style="text-align:justify"><i><span lang="EN-US" style="font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">In this talk, we
consider a minimizing problem which</span></i><i><span lang="EN-US" style="font-family:"Times New Roman",serif"> <span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">is
related to some nonlinear Schroedinger system.</span> <span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">This minimizing problem has two constraint conditions</span> <span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">and bounded potentials.</span> <span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Assuming some conditions on the bounded potentials,</span> <span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">we show that every minimizing sequence has</span> <span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">a strongly convergent subsequence and</span> <span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">the minimizing problem is solvable.</span> <span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">This is based on joint work with Yasuhito Miyamoto
(Univ. of Tokyo)</span> <span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">and Kazune Takahashi
(Univ. of Tokyo).</span></span></i><i><span lang="EN-US" style="font-family:"Times New Roman",serif"><span></span></span></i></p>

<p class="gmail-MsoNormal" style="text-align:justify;background:rgb(241,241,241)"><span style="font-family:"Times New Roman",serif;font-size:16pt;background-color:rgb(255,255,255)"><br></span></p><p class="gmail-MsoNormal" style="text-align:justify;background:rgb(241,241,241)"><span style="font-family:"Times New Roman",serif;font-size:16pt;background-color:rgb(255,255,255)">Tutti gli interessati sono invitati a
partecipare.</span><br></p>

<p class="gmail-MsoNormal" style="text-align:justify"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>

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

<p class="gmail-MsoNormal" style="text-align:justify"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>

<p class="gmail-MsoNormal" style="text-align:justify"><br></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>
</div>

<p></p>

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