Hong Bo Zhang

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For n 3, we study the Cauchy problem for the fourth order non-linear Schrödinger equations, for which the existence of the scattering operators and the global well-posedness of solutions with small data in Besov spaces B s 2,1 (R n) are obtained. In one spatial dimension, we get the global well-posedness result with small data in the critical homogeneous(More)
Rosai-Dorfman disease (RDD) is a rare histioproliferative disorder that only occasionally involves the central nervous system. We present the diagnosis and treatment of five patients with intracranial RDD. The patients were preoperatively misdiagnosed as meningioma or eosinophilic granuloma. All five patients were treated by total or subtotal surgical(More)
For n 2, we establish the smooth effects for the solutions of the linear fourth order Shrödinger equation in anisotropic Lebesgue spaces with k-decomposition. Using these estimates, we study the Cauchy problem for the fourth order nonlinear Schrödinger equations with three order derivatives and obtain the global well posedness for this problem with small(More)
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