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<div class="pre" style="margin: 0; padding: 0; font-family: monospace;"><span style="font-family: arial, helvetica, sans-serif;">Dear colleagues and PDE friends,</span><br /><span style="font-family: arial, helvetica, sans-serif;"> </span><br /><span style="font-family: arial, helvetica, sans-serif;"> We announce the next session of the CMM PDE Seminar with a talk by <strong>Bruno Vergara Biggio</strong> (Universitat de Barcelona). The session will be held <strong>Monday, March 27 at 12:00 hs (Santiago time)</strong> in the <strong>Sala de Seminarios DIM </strong>(fifth floor), Beauchef 851.</span><br /> <br /><span style="font-family: arial, helvetica, sans-serif;"><strong> Title:</strong> Boundary controllability of critically singular parabolic equations on convex domains.</span><br /> <br /><span style="font-family: arial, helvetica, sans-serif;"><strong> Abstract:</strong> In this talk I will discuss the null boundary control of heat-like equations on convex domains, featuring a singular potential that diverges as the inverse square of the distance to the boundary. For this purpose, I will establish global Carleman estimates for the associated operators by combining intermediate inequalities with distinct weights that involve non-smooth powers of the boundary distance. These estimates are sharp in the sense that they capture both the natural boundary conditions and the H^1-energy for the problem. Additionally, I will describe the role of the potential strength and the geometry of the domain in our results. This is based on joint work with A. Enciso (ICMAT) and A. Shao (QMUL).</span><span style="font-family: arial, helvetica, sans-serif;"> <br /></span></div>
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<div class="pre" style="margin: 0; padding: 0; font-family: monospace;"><span style="font-family: arial, helvetica, sans-serif;">The link to attend via zoom meeting is the following: </span></div>
<div class="pre" style="margin: 0; padding: 0; font-family: monospace;"><span style="font-family: arial, helvetica, sans-serif;"><a href="https://us06web.zoom.us/j/81519152386?pwd=WFRvMlF3TTNDeVovSDQxWk5mNGg4QT09" target="_blank" rel="noreferrer">https://us06web.zoom.us/j/81519152386?pwd=WFRvMlF3TTNDeVovSDQxWk5mNGg4QT09</a></span><br /><br /><span style="font-family: arial, helvetica, sans-serif;">Meeting ID: 815 1915 2386</span><br /><span style="font-family: arial, helvetica, sans-serif;">Passcode: pdeuchile</span><br /> <br /><span style="font-family: arial, helvetica, sans-serif;"> Best wishes,</span><br /><span style="font-family: arial, helvetica, sans-serif;"> </span><br /><span style="font-family: arial, helvetica, sans-serif;"> Rayssa Caju and María Eugenia Martínez.</span><br /> <br /><span style="font-family: arial, helvetica, sans-serif;"> </span><br /> <br /><span style="font-family: arial, helvetica, sans-serif;"> On behalf of the Seminar Organizers</span><br /> <br /> <a href="https://eventos.cmm.uchile.cl/pdeseminar/" target="_blank" rel="noreferrer">https://eventos.cmm.uchile.cl/pdeseminar/</a></div>
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