Abstract
Consider the solution of the free time-dependent Schro dinger equation with initial data f. It is shown by Sjogren and Sjolin that there exists f in the Sobolev space Hs (Rd), s = d/2 such that tangential convergence can not be widened to convergence regions. The author obtained in a previous paper the corresponding results for a generalized version of the Schrodinger equation, where −Δx is replaced by an operator \({\varphi(D)}\), with special conditions on \({\varphi}\). In this paper we show that similar results may be obtained for initial data in usual and mixed Fourier Lebesgue spaces. We also relax the conditions on \({\varphi}\).
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