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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...