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SUMMARY:Verena Bögelein (University Salzburg\, Austria)
DTSTART:20210316T180000Z
DTEND:20210316T190000Z
DTSTAMP:20260423T035035Z
UID:OSGA/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/52/">Hi
 gher regularity in congested traffic dynamics</a>\nby Verena Bögelein (Un
 iversity Salzburg\, Austria) as part of Online Seminar "Geometric Analysis
 "\n\n\nAbstract\nWe consider an elliptic system that is motivated by a con
 gested traffic dynamics problem. It has the form\n$$\n	\\mathrm{div}\\bigg
 ((|Du|-1)_+^{p-1}\\frac{Du}{|Du|}\\bigg)=f\,\n$$\nand falls into the conte
 xt of very degenerate problems. Continuity properties of the gradient have
  been investigated in the scalar case by  Santambrogio & Vespri and Colomb
 o & Figalli. \nIn this talk we establish the optimal regularity of weak so
 lutions in the vectorial case for any $p>1$. This is joint work with F. Du
 zaar\, R. Giova and A. Passarelli di Napoli.\n
LOCATION:https://researchseminars.org/talk/OSGA/52/
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