SMS scnews item created by Daniel Daners at Wed 21 Oct 2009 0936
Type: Seminar
Modified: Wed 21 Oct 2009 0937; Fri 23 Oct 2009 1322
Distribution: World
Expiry: 26 Oct 2009
Calendar1: 26 Oct 2009 1500-1600
CalLoc1: Carslaw 454

PDE Seminar

On the existence of stationary solutions of nonlinear Schrödinger equations


Huan-Song Zhou
Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan
26 Oct 2009 3-4pm, Carslaw Room 454


In this talk, we will talk about the following type of nonlinear stationary SchrŲdinger equation: -Δu + (1 + λg(x))u = f(u) and u > 0 in ℝN, u ∈ H1(ℝN) N 3, where λ 0, g(x) ∈ L(ℝN) which vanishes on a bounded domain in ℝN, and f(s) ~ (α + 1)s at +. We discuss how the existence and behavior of the solutions of the equation depend on the parameters λ and α. This is joint work with C.A.Stuart and Z.P. Wang.

Check also the PDE Seminar page. Enquiries to Florica CÓrstea or Daniel Daners.