Conference Agenda
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Daily Overview |
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Pms2: Partial Differential Equations with multiple scales Location: G309 Session Chair: Matthias Röger Session Chair: Ben Schweizer | |
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Optimal regularity for the parabolic Signorini problem 1: Indian Institute of Technology (IIT) Kanpur; 2: RWTH, Aachen In this talk I will discuss the optimal regularity of solutions to the variable coefficient parabolic Signorini problem (or parabolic thin obstacle problem), where the coefficients are in the Sobolev space $W^{1,1}_p$ with $p>n+2$ (here $n$ is the space dimension). I will talk about two main ingredients used in the proof: a parabolic Carleman estimate, and an energy/energy-dissipation inequality. This is based on joint work with Vedansh Arya. | |
