We consider the initial value problem for Schrodinger type equations with a leading coefficient vanishing of finite order at t = 0 proving the well-posedness in Sobolev and Gevrey spaces according to the behavior of the lower order terms. Moreover, we discuss the application of our approach to the case of a general degeneracy.
M. Cicognani, M. Reissig (2014). Well-Posedness for Degenerate Schrodinger Equations. EVOLUTION EQUATIONS AND CONTROL THEORY, 3(1), 15-33 [10.3934/eect.2014.3.15].
Well-Posedness for Degenerate Schrodinger Equations
CICOGNANI, MASSIMO;
2014
Abstract
We consider the initial value problem for Schrodinger type equations with a leading coefficient vanishing of finite order at t = 0 proving the well-posedness in Sobolev and Gevrey spaces according to the behavior of the lower order terms. Moreover, we discuss the application of our approach to the case of a general degeneracy.File in questo prodotto:
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