中文
Published date:2014-07-16    Provided by:School of Science
 
Title: Variational capacit problem on plane convex rings
Guest SpeakerProfessor Jie Xiao, Memorial University of Newfoundland
Time2014-7-3, 10:30 – 11:30
LocationMeeting Room7125, School of Science
Content &Introduction 
An interesting problem in this area is the investigation of fractional energy which is mathematically determined by an integral of quotient of symmetric differences with fractional order. I have been interested in the variations of fractional energy under all linear motions in $/Bbb R^n$, and consequently, the study of Besov/Sobolev spaces and their affine-invariant forms, as well as their applications to conformal/convex/differential geometry and PDEs. Several results on these are known as: harmonic extensions, mean oscillations, wavelets and dualities associated with new tent-like spaces, Hausdorff contents, capacitary strong-type inequalities, sharp isoperimetric-type estimates, sharp Sobolev-type inequalities, a prior estimates of geometric Green's functions, and connections to the heat-type equations, the Navier-Stokes equations and other time-dependent equations.