Results 61 to 70 of about 154 (95)
On Gevrey regularity of globally C∞ hypoelliptic operators
, 2004 We prove Gevrey regularity for a class of operators defined on the torus Tm+n, with real analytic coefficients in Tm, and which are globally C∞ hypoelliptic.
Himonas, A. Alexandrou +1 more
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Noncommutative topology and the world's simplest index theorem. [PDF]
Proc Natl Acad Sci U S A, 2010 van Erp E.
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Gevrey Hypoellipticity for Non-subelliptic Operators
, 2010 In J. J. Kohn’s recent paper [5] the operator ∂ ∂ − iz|z|2(m−1) ∂z ∂t was introduced and shown to be hypoelliptic, yet to lose k−1 derivatives in m L2 Sobolev norms.
BOVE, ANTONIO, D. S. Tartakoff
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Hyperfunctions and linear partial differential equations. [PDF]
Proc Natl Acad Sci U S A, 1966 Harvey R.
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A new class of pseudo-differential operators. [PDF]
Proc Natl Acad Sci U S A, 1978 Nagel A, Stein EM.
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On the Singularities of Non-Analytic Szegö Kernels
, 1999 The \,\, {\it CR} \,\, manifold \,\, $ M_m=\,\, \{(z_1,z_2) \, \in \, {\mathbb C}^2 ; \,\, \Im z_2 = [\Re z_1]^{2m} \} (m=2,3,\ldots)$ is a counterexample, which was given by Christ and Geller, to analytic hypoellipticity of $\bar{\partial}_{b}$ and real
Kamimoto Joe
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On integral representations for the Neumann operator. [PDF]
Proc Natl Acad Sci U S A, 1979 Phong DH.
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The Kotake-Narasimhan theorem in general ultradifferentiable classes. [PDF]
Rev R Acad Cienc Exactas Fis Nat A MatFürdös S.
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Remarks on Analytic Hypoellipticity and Local Solvability in the Space of Hyperfunctions
, 2003 Let p(x,D) be a pseudodifferential operator on Rn with a ( formal) analytic symbol p(x, ξ), and let x0 ∈ Rn. In this paper we prove that the transposed operator tp(x,D) of p(x,D) is locally solvable at x0 modulo analytic functions in the space of ...
Wakabayashi Seiichiro
core
Deterministic, stochastic, and mean-field PDE models in neuroscience. [PDF]
Front Comput NeurosciÇetin C +5 more
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