| 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.
Green’s function for initial-boundary value problem
Mechanization of proof: from 4-Color theorem to compiler verification
On the distributions of partition ranks and cranks
Q-curvature in conformal geometry
Zeros of the derivatives of the Riemann zeta function
Geometry, algebra and computation in moduli theory
Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology
High dimensional nonlinear dynamics
What is model theory?
Essential dimension of simple algebras
Restriction theorems for real and complex curves
Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연)
Deformation spaces of Kleinian groups and beyond
Idempotents and topologies
Recent progress on the Brascamp-Lieb inequality and applications
Existence of positive solutions for φ-Laplacian systems
Riemann-Hilbert correspondence for irregular holonomic D-modules
Normal form reduction for unconditional well-posedness of canonical dispersive equations
Random conformal geometry of Coulomb gas formalism
Categorification of Donaldson-Thomas invariants
