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

<p class=""><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">Mercoledì 1 giugno 2016</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 15:00</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"> </span></p>

<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;background-image:initial;background-repeat:initial">Aula Mancini</span></p>

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

<p class="MsoNormal" align="center" style="text-align:center;background-image:initial;background-repeat:initial"><b><span style="font-size:22pt;font-family:'Times New Roman',serif">Jean-Baptiste Casteras</span></b></p>

<p class="MsoNormal" align="center" style="text-align:center;background-image:initial;background-repeat:initial"><span style="font-size:9.5pt;font-family:Arial,sans-serif">(</span><i><span style="font-family:'Times New Roman',serif">Universite Libre de Bruxelles)</span></i><span style="font-size:9.5pt;font-family:Arial,sans-serif"></span></p>

<pre style="text-align:center"><b><i><span style="font-size:12pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial"> </span></i></b></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>

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

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

<p class="MsoNormal" align="center" style="text-align:center;background-image:initial;background-repeat:initial"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif;color:black">“</span></b><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">Standing wave solutions for a nonlinear Schrödinger<span class=""> </span></span><span style="text-align:start">equation</span><span class=""><span style="text-align:start"> </span>with
mixed dispersion</span></b><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif;color:black">”</span></b><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-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;background-image:initial;background-repeat:initial"><span lang="EN-US"><font face="arial, helvetica, sans-serif">In this talk, we will be interested in standing wave
solutions to a fourth order nonlinear Schrödinger equation having
second and fourth order dispersion terms. This kind of equation naturally
appears in nonlinear optics. In a first time, we will establish the existence
of ground-state solutions. We can obtain them with two different ways : either
by imposing a L^2 mass constraint or via a L^p constraint. We will then be
interested in their qualitative properties : positivity, symmetry, exponential
decay, uniqueness and orbital stability. We will conclude with some open
questions. Joint work with Denis Bonheure, Ederson Moreira Dos Santos and
Robson Nascimento.</font></span></p>

<p class="MsoNormal" style="text-align:justify;background:rgb(241,241,241)"><font face="arial, helvetica, sans-serif"></font></p>

<p class="MsoNormal" style="text-align:justify"><font face="arial, helvetica, sans-serif"> </font></p>

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

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

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

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

<div><br></div><div><br></div><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>