Search Results - "de Moraes, Wagner Augusto Almeida"
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1
Regularity of solutions to a Vekua-type equation on compact Lie groups
Published in Annali di matematica pura ed applicata (01-02-2022)“…We present sufficient conditions to have global hypoellipticity for a class of Vekua-type operators defined on a compact Lie group. When the group has the…”
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2
Solvability of Vekua-type periodic operators and applications to classical equations
Published 06-02-2024“…Indagationes Mathematicae, 2024 In this note, we investigate Vekua-type periodic operators of the form $Pu=Lu-Au-B\bar u$, where $L$ is a constant coefficient…”
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3
Regularity of solutions to a Vekua-type equation on compact Lie groups
Published 30-04-2021“…We present sufficient conditions to have global hypoellipticity for a class of Vekua-type operators defined on a compact Lie group. When the group has the…”
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4
Global Hypoellipticity for Strongly Invariant Operators
Published 16-01-2020“…In this note, by analyzing the behavior at infinity of the matrix symbol of an invariant operator $P$ with respect to a fixed elliptic operator, we obtain a…”
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Global properties of vector fields on compact Lie groups in Komatsu classes. II. Normal forms
Published 05-11-2019“…Let $G_1$ and $G_2$ be compact Lie groups, $X_1 \in \mathfrak{g}_1$, $X_2 \in \mathfrak{g}_2$ and consider the operator \begin{equation*} L_{aq} = X_1 +…”
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6
Global properties of vector fields on compact Lie groups in Komatsu classes
Published 02-10-2019“…In this paper we characterize completely the global hypoellipticity and global solvability in the sense of Komatsu (of Roumieu and Beurling types) of…”
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Global hypoellipticity and global solvability for vector fields on compact Lie groups
Published 30-09-2019“…We present necessary and sufficient conditions to have global hypoellipticity and global solvability for a class of vector fields defined on a product of…”
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8
Partial Fourier series on compact Lie groups
Published 27-09-2019“…In this note we investigate the partial Fourier series on a product of two compact Lie groups. We give necessary and sufficient conditions for a sequence of…”
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9
Solvability of Vekua-type periodic operators and applications to classical equations
Published in Indagationes mathematicae (01-05-2024)“…In this note, we investigate Vekua-type periodic operators of the form Pu=Lu−Au−Bū, where L is a constant coefficient partial differential operator. We…”
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10
Global solvability and hypoellipticity for evolution operators on tori and spheres
Published in Mathematische Nachrichten (09-10-2024)“…In this paper, we investigate global properties of a class of evolution differential operators defined on a product of tori and spheres. We present a…”
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11
On the global properties of Fourier multipliers in the nonharmonic analysis setting
Published 29-06-2021“…In this paper, we investigate the global properties of Fourier multipliers in the setting of nonharmonic analysis of boundary value problems. We give necessary…”
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12
Denjoy-Carleman solvability of Vekua-type periodic operators
Published 18-06-2024“…This paper explores the solvability and global hypoellipticity of Vekua-type differential operators on the n-dimensional torus, within the framework of…”
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Global solvability and hypoellipticity for evolution operators on tori and spheres
Published 27-06-2023“…In this paper, we study the global properties of a class of evolution-like differential operator with a 0-order perturbation defined on the product of $r+1$…”
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14
Global analytic hypoellipticity for a class of evolution operators on $\mathbb{T}^1\times\mathbb{S}^3
Published 27-01-2020“…In this paper, we present necessary and sufficient conditions to have global analytic hypoellipticity for a class of first-order operators defined on…”
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