Mathematical Colloquium - Stability theorems for mappings of integrable dilatation

00:00 10-11-2010
<p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"><span style="FONT-FAMILY: 'Arial', 'sans-serif'; FONT-SIZE: 14px"><font face="Arial, Helvetica, sans-serif">Abstract:  </font></span></p> <p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"><span style="FONT-FAMILY: 'Arial', 'sans-serif'; FONT-SIZE: 14px"><font face="Arial, Helvetica, sans-serif"></font></span> </p> <p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"><span style="FONT-FAMILY: 'Arial', 'sans-serif'; FONT-SIZE: 14px"><font face="Arial, Helvetica, sans-serif">Quasiconformal mappings in two and higher dimensions and their recent generalizations</font></span></p> <p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"><span style="FONT-FAMILY: 'Arial', 'sans-serif'; FONT-SIZE: 14px"><font face="Arial, Helvetica, sans-serif">such as mappings with integrable dilatation have found important applications in various fields </font></span></p> <p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"><span style="FONT-FAMILY: 'Arial', 'sans-serif'; FONT-SIZE: 14px"><font face="Arial, Helvetica, sans-serif">of Mathematics, Mechanics, Physics and others. We present</font></span></p> <p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"><span style="FONT-FAMILY: 'Arial', 'sans-serif'; FONT-SIZE: 14px"><font face="Arial, Helvetica, sans-serif">stability results concerning conformality and/or weak conformality of such</font></span></p> <p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"><span style="FONT-FAMILY: 'Arial', 'sans-serif'; FONT-SIZE: 14px"><font face="Arial, Helvetica, sans-serif">mappings in the plane and in higher dimensions. Such results can be utilized in the</font></span></p> <p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"><span style="FONT-FAMILY: 'Arial', 'sans-serif'; FONT-SIZE: 14px"><font face="Arial, Helvetica, sans-serif">study of local properties in Dynamics and nonlinear Elasticity Theory.</font></span></p> <p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"><span style="FONT-FAMILY: 'Arial', 'sans-serif'; FONT-SIZE: 14px"> </span></p>