7 Result(s)
within
Carlos E. Kenig
Physics
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Chapter
Continuation Theorems for Schrodinger Operators
The purpose of this note is to describe the connection between quantum physics, the absence of positive eigenvalues for Schrödinger operators, and unique continuation theorems for Schrödinger operators. We sha...
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Chapter
On the Hierarchy of the Generalized KdV Equations
We consider a sequence of one-dimensional dispersive equations. These equations contain the KdV hierarchy as well as several higher order models arising in both physics and mathematics. We obtain conditions wh...
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Article
On the Interaction of Nearly Parallel Vortex Filaments
The system for the interaction of nearly parallel vortex filaments deduced by Klein, Majda and Damodaran is considered. Local existence for the associated initial value problem with data which are small pertur...
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Article
Determining a Magnetic Schrödinger Operator from Partial Cauchy Data
In this paper we show, in dimension n ≥ 3, that knowledge of the Cauchy data for the Schrödinger equation in the presence of a magnetic potential, measured on possibly very small subsets of the boundary, determin...
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Article
Low-regularity Schrödinger maps, II: global well-posedness in dimensions d ≥ 3
In dimensions d ≥ 3, we prove that the Schrödinger map initial-value problem $$ \left\{ \begin{array}{l} \partial_ts=s\times\Delta_x s...
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Article
Scattering Below Critical Energy for the Radial 4D Yang-Mills Equation and for the 2D Corotational Wave Map System
Given g and f = gg′, we consider solutions to the following non linear wave equation : $$\left\{ \begin{array}{l}\displaystyle u_{tt...
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Article
Convergence Rates in L 2 for Elliptic Homogenization Problems
We study rates of convergence of solutions in L 2 and H 1/2 for a family of elliptic systems ...
