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.
2014
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].
M. Cicognani; M. Reissig
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/168454
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