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math.AP2002
Polynomial upper bounds for the instability of the Nonlinear Schrödinger equation below the energy norm
J. Colliander, M. Keel, G. Staffilani +2
We continue the study (initiated in \cite{ckstt:7}) of the orbital stability of the ground state cylinder for focussing non-linear Schrödinger equations in the norm for…
math.AP2002★ 1 cited
Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm
Jim Colliander, Mark Keel, Gigliola Staffilani +2
We study the long-time behaviour of the focusing cubic NLS on in the Sobolev norms for . We obtain polynomial growth-type upper bounds on the norms, and…
math.AP2002★ 1 cited
Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions
Andrew Hassell, Terence Tao
Suppose that is a compact Riemannian manifold with boundary and is an -normalized Dirichlet eigenfunction with eigenvalue . Let be its normal derivative at the…