<div dir="ltr"><font color="#000000">Dear all,</font><div dir="auto"><font color="#000000"><br></font></div><div dir="auto"><font color="#000000">We remind you the upcoming talk of "Insalate di Matematica".</font></div><div dir="auto"><font color="#000000">Here the details:</font></div><div dir="auto"><font color="#000000"><br></font></div><div dir="auto"><font color="#000000"><u>Speaker</u>: </font><b>Giovanni Siclari</b> (Università degli Studi di Milano-Bicocca)</div><span class="gmail-im" style="color:rgb(80,0,80)"><font color="#000000"><div dir="auto"><br></div><div dir="auto"><u>Date and time</u>: <b style="color:rgb(34,34,34)">15th of February 2023, 4:00 pm (CET)</b></div></font><font color="#000000"><div dir="auto"><br></div></font></span><div dir="auto"><u><font color="#000000">Information to attend</font></u></div><div dir="auto"><font color="#000000"><u>In presence</u>: The seminar will take place in room 3014, at the building U5-Ratio, Università degli Studi di Milano Bicocca.</font></div><div dir="auto"><font color="#000000"><u>Online</u>: The seminar will be streamed via Webex platform at the following link: </font><font color="#0000ff"><a href="https://unimib.webex.com/unimib/j.php?MTID=m3b34d12930da681deb940533a2257c69" rel="noreferrer noreferrer" target="_blank">https://unimib.webex.com/unimib/j.php?MTID=m3b34d12930da681deb940533a2257c69</a> </font>(Password: Insalate (46725283 from phones))</div><font color="#000000"><span class="gmail-im" style="color:rgb(80,0,80)"><div dir="auto"><br></div><div dir="auto"><u>Title</u>: <span style="color:rgb(34,34,34)">"</span><font color="#000000" style="background-color:rgb(255,255,255)">Monotonicity Methods for elliptic PDEs</font><span style="color:rgb(34,34,34)">"</span></div></span></font><font color="#000000"><span class="gmail-im" style="color:rgb(80,0,80)"><div dir="auto"><br></div><div dir="auto"><u>Abstract</u>: <span style="color:rgb(34,34,34)">We study unique continuation properties and the asymptotic behaviour from a fixed </span><span style="color:rgb(34,34,34)">point for solutions of elliptic equations using the Monotonicity Formula combined with </span><span style="color:rgb(34,34,34)">a blow-up analysis. More precisely, we will prove a doubling-type property and use </span><span style="color:rgb(34,34,34)">the boundedness of the Frequency Function to find a non-trivial limit profile. We will </span><span style="color:rgb(34,34,34)">illustrate these methods by means of a simple example, that is the equation</span><span class="gmail-Apple-converted-space" style="color:rgb(34,34,34)"> </span><img alt="-\Delta u=fu" title="-\Delta u=fu" src="https://s0.wp.com/latex.php?zoom=3&bg=ffffff&fg=000000&s=0&latex=-%5CDelta%09u=fu" id="m_-5986198856253430896m_-7003124992611290024m_2594363315570836419l0.802688308901504" height="15" width="74" class="gmail-CToWUd" style="color: rgb(34, 34, 34); display: inline; vertical-align: -3.667px;"><span style="color:rgb(34,34,34)">.</span></div></span></font><font color="#000000"><span class="gmail-im" style="color:rgb(80,0,80)"><div dir="auto"><br></div><div dir="auto"><u>Keywords</u>:<span class="gmail-Apple-converted-space" style="color:rgb(34,34,34)"> </span><span style="color:rgb(34,34,34)">elliptic partial differential equations, unique continuation, blow-up, </span><span style="color:rgb(34,34,34)">asymptotics, monotonicity formula.</span></div></span></font><font color="#000000"><span class="gmail-im" style="color:rgb(80,0,80)"><div dir="auto"><br></div><div dir="auto"><b>** We inform you that the talk will be recorded and uploaded on our website. If you join the talk after the starting time, we kindly ask you to ensure that your microphone and webcam are turned off **</b></div><div dir="auto"><br></div><div dir="auto">You can find the poster of the event in the attachment.</div><div dir="auto">We are looking forward to seeing you! </div><div dir="auto"><br></div></span></font><div dir="auto"><font color="#000000">For further information, please visit our website: <a href="https://sites.google.com/view/insalate-di-matematica" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">https://sites.google.com/view/insalate-di-matematica</a> or contact us at <a href="mailto:insalate.matematica@unimib.it" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">insalate.matematica@unimib.it</a>. Find us also on our Instagram page: <a href="https://www.instagram.com/insalate_di_matematica22/" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">https://www.instagram.com/insalate_di_matematica22/</a>.</font></div><span class="gmail-im" style="color:rgb(80,0,80)"><font color="#000000"><div dir="auto"><br></div><div dir="auto">The organizers: Andrea Bisterzo, Simone Blumer, Alberto Cassella, Bianca Marchionna, Andrea Rivezzi, Giovanni Siclari, Marta Tameni, Matteo Tarocchi, Marco Zullino.</div></font></span></div><div dir="ltr"><br></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">Il giorno ven 10 feb 2023 alle ore 10:00 Mbs Insalate Di Matematica <<a href="mailto:insalate.matematica@unimib.it" target="_blank">insalate.matematica@unimib.it</a>> ha scritto:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-style:solid;border-left-color:rgb(204,204,204);padding-left:1ex"><div dir="auto"><div dir="ltr"><div id="m_6919858517221405107m_-5986198856253430896m_-7003124992611290024m_2594363315570836419gmail-:1au" style="direction:ltr;margin:8px 0px 0px;padding:0px;font-size:0.875rem;font-family:"Google Sans",Roboto,RobotoDraft,Helvetica,Arial,sans-serif"><div id="m_6919858517221405107m_-5986198856253430896m_-7003124992611290024m_2594363315570836419gmail-:18v" style="font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:small;line-height:1.5;font-family:Arial,Helvetica,sans-serif;overflow:hidden"><div dir="auto"><div dir="ltr">Dear all,<div dir="auto"><br></div><div dir="auto">As part of the series of seminars "Insalate di Matematica", <b>Giovanni Siclari</b> (Università degli Studi di Milano-Bicocca) will give a talk. </div><div dir="auto">The speaker will deliver the talk <u>in presence</u> and the meeting will also be broadcasted <u>online</u> (see below for more information).</div><div dir="auto"><br></div><div dir="auto">Here the details:</div><div dir="auto"><br></div><div dir="auto"><u>Date and time</u>: <b>15th of February 2023, 4:00 pm (CET)</b></div><div dir="auto"><br></div><div dir="auto"><u>Title</u>: "<font color="#000000" style="background-color:rgb(255,229,153)">Monotonicity Methods for elliptic PDEs</font>"</div><div dir="auto"><br></div><div dir="auto"><u>Abstract</u>:We study unique continuation properties and the asymptotic behaviour from a fixed</div>point for solutions of elliptic equations using the Monotonicity Formula combined with<br>a blow-up analysis. More precisely, we will prove a doubling-type property and use<br>the boundedness of the Frequency Function to find a non-trivial limit profile. We will<br>illustrate these methods by means of a simple example, that is the equation <img alt="-\Delta u=fu" title="-\Delta u=fu" src="https://s0.wp.com/latex.php?zoom=3&bg=ffffff&fg=000000&s=0&latex=-%5CDelta%09u=fu" id="m_6919858517221405107m_-5986198856253430896m_-7003124992611290024m_2594363315570836419l0.802688308901504" style="display: inline; vertical-align: -3.667px;" height="15" width="74">.</div><div dir="ltr"><br><div><div dir="auto"><u>Keywords</u>: elliptic partial differential equations · unique continuation · blow-up ·<br>asymptotics · monotonicity formula.</div><div dir="auto"><br></div><div dir="auto"></div><div dir="auto"><u><b>Information to attend in room 3014</b></u></div><div dir="auto">The seminar will take place in room 3014, at the building U5-Ratio, Università degli Studi di Milano Bicocca.</div><div dir="auto"></div><div dir="auto"><u><b>Information to attend online </b></u></div><div dir="auto"><font color="#0000ff"><a href="https://unimib.webex.com/unimib/j.php?MTID=m3b34d12930da681deb940533a2257c69" rel="noreferrer noreferrer" target="_blank">https://unimib.webex.com/unimib/j.php?MTID=m3b34d12930da681deb940533a2257c69</a> </font>(Password: Insalate (46725283 from phones))</div><div dir="auto"><br></div><div dir="auto"></div><div dir="auto"><b>** We inform you that the talk will be recorded and uploaded on our website. If you join the talk after the starting time, we kindly ask you to ensure that your microphone and webcam are turned off **</b></div><div dir="auto"></div><div dir="auto">You can find the poster of the event in the attachment. </div><div dir="auto">We are looking forward to seeing you! </div><div dir="auto"></div><div dir="auto">For further information, please visit our website: <a href="https://sites.google.com/view/insalate-di-matematica" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">https://sites.google.com/view/insalate-di-matematica</a> or contact us at <a href="mailto:insalate.matematica@unimib.it" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">insalate.matematica@unimib.it</a>. Find us also on our Instagram page: <a href="https://www.instagram.com/insalate_di_matematica22/" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">https://www.instagram.com/insalate_di_matematica22/</a></div><div dir="auto"><br></div><div dir="auto"></div><div dir="auto">The organizers: Andrea Bisterzo, Alberto Cassella, Bianca Marchionna, Andrea Rivezzi, Giovanni Siclari, Marta Tameni, Matteo Tarocchi, Marco Zullino.</div></div></div></div><div></div><div></div></div></div><div id="m_6919858517221405107m_-5986198856253430896m_-7003124992611290024m_2594363315570836419gmail-:1bk" style="font-size:0.875rem;margin:15px 0px;clear:both;font-family:"Google Sans",Roboto,RobotoDraft,Helvetica,Arial,sans-serif"><br></div></div></div>
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