Semilinear singular Sturm-Liouville equation involving measure data
OCT 10, 2013 | 2:00 PM TO 4:00 PM
The Graduate Center
365 Fifth Avenue
October 10, 2013: 2:00 PM-4:00 PM
Initiative for the Theoretical Sciences (ITS) in Applied Mathematics sponsored seminar series.
"A semilinear singular Sturm-Liouville equation involving measure data."
Speaker: Hui Wang, Rutgers University
Abstract: We consider a semilinear singular Sturm-Liouville equation involving measure data. More precisely, it is a second order ODE on teh interval (-1,1) in the divergence form, with teh leading coefficient taking zero value at the origin, with a power nonlinearity and with a bounded Radon measure as the right-hand side. We answer the questions of the existence, nonexistence, uniqueness, and nonuniqueness of the solution(s). We also classify the isolated singularity at 0.