Periodic Solutions of the KdV Equation

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Periodic Solutions of the KdV Equation

• presented by Dustin Lennon

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References Outline

• Lax, Peter D. Periodic Solutions of the KdV
  Equation. Communications on Pure and Applied
  Mathematics, Vol XXVIII 141-188. 1975.
• Outline
• Goal Build solutions to KdV that are periodic
  in x, almost periodic in t
• basic theorems for conserved functionals,
  invariant sets
• variational characterization of the KdV conserved
  functionals
• KdV equation as a Hamiltonian System
• spectrum of Schrodinger Operator and connections
  to a new set of KdV conserved quantities

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The KdV IVP
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Current Events
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Invariant Sets
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Invariant Sets
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Small Invariant Sets
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