Speaker：Pigong Han
Abstract:
Semilinear elliptic equations arise from many mathematical models in physics, chemistry and biology or other branches of mathematics (such as Yamabe problem and isoperimetric inequality in geometry, Hardy Littlewood Sobolev inequality in Harmonic analysis). In this talk, I will introduce a series of results on the existence, multiplicity and singularity of solutions to elliptic equations with critical growth and Hardy potential.
Time:December 18th 9:00
Venue：Lecture Hall, 1st Floor,School of Mathematics and Statistics
Speaker Introduction:
Pigong Han is a research fellow of the Academy of Mathematics and System Sciences of the Chinese Academy of Sciences. He is mainly engaged in the study of nonlinear partial differential equations and hydrodynamics, especially the application of nonlinear analysis to study the existence and multiple solutions of partial differential equations, and the use of Fourier analysis and semigroup theory to study the regularity and large time behavior of incompressible Navier-Stokes equations. In the case of half space, the long-term open problem of large time asymptotic behavior of Navier- Stokes equation solution in the sense of norm is solved; in the case of outer region, when the net external force is not zero on the boundary, the large time decay rate of incompressible Navier-Stokes equation solution is established, which greatly improves the existing results. Scientific research achievements in the past five years were selected into the 2017 yearbook of the Chinese Academy of Sciences and published two monographs in Science Press. So far, he has presided over a number of general projects of NSFC and participated in key projects of NSFC as a main member. Over 50 academic papers have been published in some international magazines such as Advanced in Mathematics; Archive for Rational Mechanics and Analysis; Communications in Mathematical Physics; Journal of Functional Analysis; Journal of Mathematical Fluid Mechanics, etc.
