An abstract approximate controllability result and applications to elliptic and parabolic systems with dynamic boundary conditions.
Large data local solutions for the derivative NLS equation
We consider the derivative NLS equation with general quadratic nonlinearities. In [2] the first author has proved a sharp small data local well-posedness result in Sobolev spaces with a decay structure at infinity in dimension . Here we prove a similar result for large initial data in all dimensions .
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