| 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.
Mixed type PDEs and compressible flow
Mixing time of random processes
Noise-induced phenomena in stochastic heat equations
Non-commutative Lp-spaces and analysis on quantum spaces
Noncommutative Geometry. Quantum Space-Time and Diffeomorphism Invariant Geometry
Noncommutative Surfaces
Nonlocal generators of jump type Markov processes
Normal form reduction for unconditional well-posedness of canonical dispersive equations
Number theoretic results in a family
On circle diffeomorphism groups
On classification of long-term dynamics for some critical PDEs
On function field and smooth specialization of a hypersurface in the projective space
On Ingram’s Conjecture
On some nonlinear elliptic problems
On the distributions of partition ranks and cranks
On the resolution of the Gibbs phenomenon
On the Schauder theory for elliptic PDEs
One and Two dimensional Coulomb Systems
Partial differential equations with applications to biology
Periodic orbits in symplectic geometry
