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Extra Form
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.


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첨부 '1'
  1. Regularity of solutions of Hamilton-Jacobi equation on a domain

  2. What is Weak KAM Theory?

  3. 정년퇴임 기념강연: 회고

  4. <학부생을 위한 강연> 사색 정리를 포함하는 Hadwiger의 추측의 변형에 관하여

  5. The classification of fusion categories and operator algebras

  6. Green’s function for initial-boundary value problem

  7. Mechanization of proof: from 4-Color theorem to compiler verification

  8. On the distributions of partition ranks and cranks

  9. Q-curvature in conformal geometry

  10. Zeros of the derivatives of the Riemann zeta function

  11. Geometry, algebra and computation in moduli theory

  12. Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology

  13. High dimensional nonlinear dynamics

  14. What is model theory?

  15. Essential dimension of simple algebras

  16. Restriction theorems for real and complex curves

  17. Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연)

  18. Deformation spaces of Kleinian groups and beyond

  19. Idempotents and topologies

  20. Recent progress on the Brascamp-Lieb inequality and applications

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