We consider the Cauchy problem for a Schrodinger equation with time-dependent Hamiltonian vanishing at $t=0$ and with some slow decay conditions for the real parts of the coefficients of the convection term. We discuss the necessity of Gevrey well-posedness of the Cauchy problem.
NECESSITY OF GEVREY-TYPE LEVI CONDITIONS FOR DEGENERATE SCHRODINGER EQUATIONS
CICOGNANI, MASSIMO;
2014
Abstract
We consider the Cauchy problem for a Schrodinger equation with time-dependent Hamiltonian vanishing at $t=0$ and with some slow decay conditions for the real parts of the coefficients of the convection term. We discuss the necessity of Gevrey well-posedness of the Cauchy problem.File in questo prodotto:
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