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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. The classification of fusion categories and operator algebras

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

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

  4. On the distributions of partition ranks and cranks

  5. Q-curvature in conformal geometry

  6. Zeros of the derivatives of the Riemann zeta function

  7. Geometry, algebra and computation in moduli theory

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

  9. High dimensional nonlinear dynamics

  10. What is model theory?

  11. Essential dimension of simple algebras

  12. Restriction theorems for real and complex curves

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

  14. Deformation spaces of Kleinian groups and beyond

  15. Idempotents and topologies

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

  17. Existence of positive solutions for φ-Laplacian systems

  18. Riemann-Hilbert correspondence for irregular holonomic D-modules

  19. 08May
    by 김수현
    in 수학강연회

    Normal form reduction for unconditional well-posedness of canonical dispersive equations

  20. Random conformal geometry of Coulomb gas formalism

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