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SOBOLEV CAPACITIES IN NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

김수현 0 931
구분
일정 2016-12-14 16:00 ~ 17:00
강연자 Nguyen Cong Phuc (Louisiana State University, USA)
기타
담당교수 변순식
Sobolev spaces are spaces of functions whose (weak) derivatives have certain degree of integrability. Associated to each Sobolev space is a Sobolev capacity. Originally appearing in the theory of electrostatics, Sobolev capacities have played an important role in modern analysis as a device to measure smoothness or singularity. In this talk, I will discuss their connection to the so-called trace inequalities and their applications to certain nonlinear elliptic partial differential equations with super-critical non-linearities and measure data. The talk is based on joint work with Igor E. Verbitsky.
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