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Non-Lipschitz flow of the nonlinear Schrödinger equation on surfaces
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Wei-Min Wang
Published/Copyright:
March 1, 2013
Abstract.
We construct a non-Lipschitz flow in Hs for the cubic nonlinear Schrödinger equation
on the 2-torus of revolution with a Lipschitz or smooth metric. The non-Lipschitz property holds
for all 
for a Lipschitz metric and 
for a smooth metric. Both coincide with the Sobolev
exponents for uniform local well-posedness.
Received: 2010-09-16
Revised: 2011-01-07
Published Online: 2013-03-01
Published in Print: 2013-03-01
© 2013 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- Non-Lipschitz flow of the nonlinear Schrödinger equation on surfaces
- Gradient estimate of a Dirichlet eigenfunction on a compact manifold with boundary
- A composite map in the stable homotopy groups of spheres
- Length functions, multiplicities and algebraic entropy
- On the Eisenstein cohomology of odd orthogonal groups
- Complex Osserman Kähler manifolds in dimension four
- Mixed multiplicities of multigraded modules
- On the number of maximal chain transitive sets in fiber bundles
- 2-primary factorizations of power maps through the double suspension
- Imprecise probabilities, bets and functional analytic methods in Łukasiewicz logic
