YOUNGHUN HONG

I am a fifth year graduate student at Brown. My thesis advisor is Justin Holmer. Broadly speaking, my research interests are in partial dfferential equations and harnomic analysis. I am currently studying effects of electric potentials on nonlinear Schrödinger equations in various aspects.

CONTACT

• Office : SciLi Room 1018
• Phone : (401) 863-6401
• E-mail : yhhong (at) math (dot) brown (dot) edu
• Mail :
  Brown Univ. Box 1917
  151 Thayer St.
  Providence, RI 02912

Papers

• A remark on Littlewood-Paley projections (2012) pdf
• A spectral multiplier theorem associated with a Schrödinger operator (2012) pdf
• Local-in-time well-posedness for nonlinear Schrödinger equations with potentials (expository) pdf
• Global well-posedness of NLS with a rough potential below the energy norm (2012) pdf
• Scattering for a nonlinear Schrödinger equation with a potential (preprint)

TEACHING

• FALL2011 - Math 0100