Results 111 to 120 of about 4,782 (151)
Analytic Hypoellipticity for Sums of Squares and the Treves Conjecture
P. Albano, A. Bove, M. Mughetti
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On the hypoellipticity and the global analytic-hypoellipticity of pseudo- differential operators
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Mathematische Nachrichten, 2023
We introduce a new class of smooth pseudodifferential operators on the torus whose calculus allows us to show that global hypoellipticity with a finite loss of derivatives of certain systems of pseudodifferential operators is stable under perturbations ...
I. A. Ferra, G. Petronilho
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We introduce a new class of smooth pseudodifferential operators on the torus whose calculus allows us to show that global hypoellipticity with a finite loss of derivatives of certain systems of pseudodifferential operators is stable under perturbations ...
I. A. Ferra, G. Petronilho
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Mediterranean Journal of Mathematics, 2021
We study the change of quantization for a class of global pseudodifferential operators of infinite order in the setting of ultradifferentiable functions of Beurling type.
Vicente Asensio
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We study the change of quantization for a class of global pseudodifferential operators of infinite order in the setting of ultradifferentiable functions of Beurling type.
Vicente Asensio
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Global ultradifferentiable hypoellipticity on compact manifolds
Archiv der Mathematik, 2021We study the global hypoellipticity problem for certain linear operators in Komatsu classes of Roumieu and Beurling type on compact manifolds. We present an approach by combining a characterization of these spaces via eigenfuction expansions, generated ...
Fernando de Ávila Silva +1 more
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Hypoellipticity and Parabolic Hypoellipticity of Nonlocal Operators under Hörmander’s Condition
Potential Analysis, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiagang Ren, Hua Zhang
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Hypoelliptic Infinitesimal Generators
SIAM Journal on Mathematical Analysis, 1977In this paper we study semi-group generation by semi-bounded second order differential operators on a noncompact $C^\infty $ manifold. It is shown that the usual regularity assumptions can be relaxed to include hypoelliptic operators of the Hormander type.
Baider, Alberto, Cherkas, Barry
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