Harmonic Analysis, Semi-classical Analysis, Calculus of Variations and Partial Differential Equations. Some topics that I am currently interested in: Strichartz Estimates, Local and Global Well-posedness, Blow-up (Wave Collapse), Asymptotic Completeness (Energy Scattering), Stability/Instability of Standing Waves, Probabilistic Well-posedness, and invariant Gibbs measures etc. for Schrödinger-type Equations.
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