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Does p matter in the p-obstacle problem?

Shahgholian, H (KTH - Royal Institute of Technology, Stockholm)
Wednesday 23 April 2014, 15:15-16:15

Seminar Room 2, Newton Institute Gatehouse


In this talk I shall discuss the growth, from the free boundary,for solutions to the p-obstacle problem. I shall unveil a surprising behavior for the p-elliptic case, and also discuss some strange behavior for the p-parabolic case. A "healthy" exercise, in the latter case, is to find two different growth rates, for Barenblatt solution, at different free boundary points. This is joint work with John Andersson and Erik Lindgren.


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