Brian J. Choi
Published 2019-06-26Version 1
In this paper, we prove the low-regularity global well-posedness of the adibatic limit of the Quantum Zakharov system and consider its semi-classical limit, i.e., the convergence of the model equation as the quantum parameter tends to zero. We also show ill-posedness in negative Sobolev spaces and discuss the existence of ground-state soliton solutions in high spatial dimensions.
Convergence of nodal sets in the adiabatic limit
Low-regularity global well-posedness for the Klein-Gordon-Schrödinger system on $\mathbb R^{+}$
The adiabatic limit of Fu-Yau equations
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