Global Gevrey hypoellipticity for the twisted Laplacian on forms
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DOI: 10.1007/s11868-017-0232-x
Abstract: We study in this paper the global hypoellipticity property in the Gevrey category for the generalized twisted Laplacian on forms. Different from the 0-form case, where the twisted Laplacian is a scalar operator, this is… read more here.
Keywords: hypoellipticity; global gevrey; laplacian forms; hypoellipticity twisted ... See more keywords
Hypoellipticity of Fediĭ’s type operators under Morimoto’s logarithmic condition
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DOI: 10.1007/s11868-018-0272-x
Abstract: We prove hypoellipticity of second order linear operators on $$\mathbb {R}^{n+m}$$Rn+m of the form $$L(x,y,D_x,D_y) = L_1(x,D_x) + g(x) L_2(y,D_y)$$L(x,y,Dx,Dy)=L1(x,Dx)+g(x)L2(y,Dy), where $$L_j$$Lj, $$j=1,2$$j=1,2, satisfy Morimoto’s super-logarithmic estimates $$||\log \!\left^2 \hat{u}(\xi )||^2 \le \varepsilon (L_j u,u)… read more here.
Keywords: fedi type; operators morimoto; type operators; hypoellipticity ... See more keywords