Research Interests
I am interested primarily in nonlinear dispersive equations and harmonic analysis. So far my research has involved nonlinear Schrödinger equations with broken translation symmetries, including inhomogeneous models and models with potentials.
Publications and Preprints:
- L. Baker, L. Campos, J. Murphy, R. Scarpelli, Threshold dynamics for the 3d radial cubic NLS with repulsive inverse-square potential. Submitted. [arXiv]
- L. Baker, Scattering for the 2d NLS with inhomogeneous nonlinearities. Submitted. [arXiv]
- L. Baker, J. Murphy, Scattering for the 1d NLS with inhomogeneous nonlinearities. To appear in SIAM J. Math. Anal. [arXiv]