| 강연자 | 권순식 |
|---|---|
| 소속 | KAIST |
| date | 2014-05-01 |
Normal form method is a classical ODE technique begun by H. Poincare. Via a suitable transformation one reduce a differential equation to a simpler form, where most of nonresonant terms are cancelled. In this talk, I begin to explain the notion of resonance and the normal form method in ODE setting and Hamiltonian systems. Afterward, I will present how we apply the method to nonlinear dispersive equations such as KdV, NLS to obtain unconditional well-posedness for low regularity data.
Random conformal geometry of Coulomb gas formalism
Quasi-homomorphisms into non-commutative groups
Quantum Dynamics in the Mean-Field and Semiclassical Regime
Quantitative residual non-vanishing of special values of various L-functions
Q-curvature in conformal geometry
Periodic orbits in symplectic geometry
Partial differential equations with applications to biology
One and Two dimensional Coulomb Systems
On the Schauder theory for elliptic PDEs
On the resolution of the Gibbs phenomenon
On the distributions of partition ranks and cranks
On some nonlinear elliptic problems
On Ingram’s Conjecture
On function field and smooth specialization of a hypersurface in the projective space
On circle diffeomorphism groups
Number theoretic results in a family
Normal form reduction for unconditional well-posedness of canonical dispersive equations
Nonlocal generators of jump type Markov processes
Noncommutative Surfaces
Noncommutative Geometry. Quantum Space-Time and Diffeomorphism Invariant Geometry
