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Global hypoelliptic estimate for Landau operator with external potential. (English) Zbl 1413.35145

Summary: In this paper, we study the hypoellipticity of Landau-type operator with external force. By using Fourier transform and symbolic class calculation, we get the global hypoelliptic estimate under suitable assumptions on the external potential.

MSC:

35H10 Hypoelliptic equations
35P15 Estimates of eigenvalues in context of PDEs
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