Abstract: I will present some recent work on the biharmonic heat equation, which is a fourth order parabolic equation, on complete Riemannian manifolds. The results I'll talk about include estimates of the biharmonic heat kernel, a uniqueness criteria, and a uniform L-infinite estimate for solutions with bounded initial data.
Speaker: Fei He is currently an associate professor at Xiamen University. He got his PhD from the University of California, Irvine. His research interest is in the field of geometric analysis.
ID: 869 4880 0369