Search Results - "de Moraes, Wagner Augusto Almeida"

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  1. 1

    Regularity of solutions to a Vekua-type equation on compact Lie groups by de Moraes, Wagner Augusto Almeida

    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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    Journal Article
  2. 2

    Solvability of Vekua-type periodic operators and applications to classical equations by Kirilov, Alexandre, de Moraes, Wagner Augusto Almeida, Tokoro, Pedro Meyer

    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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    Journal Article
  3. 3

    Regularity of solutions to a Vekua-type equation on compact Lie groups by de Moraes, Wagner Augusto Almeida

    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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    Journal Article
  4. 4

    Global Hypoellipticity for Strongly Invariant Operators by Kirilov, Alexandre, de Moraes, Wagner Augusto Almeida

    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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    Journal Article
  5. 5

    Global properties of vector fields on compact Lie groups in Komatsu classes. II. Normal forms by Kirilov, Alexandre, de Moraes, Wagner Augusto Almeida, Ruzhansky, Michael

    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. 6

    Global properties of vector fields on compact Lie groups in Komatsu classes by Kirilov, Alexandre, de Moraes, Wagner Augusto Almeida, Ruzhansky, Michael

    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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    Journal Article
  7. 7

    Global hypoellipticity and global solvability for vector fields on compact Lie groups by Kirilov, Alexandre, de Moraes, Wagner Augusto Almeida, Ruzhansky, Michael

    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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    Journal Article
  8. 8

    Partial Fourier series on compact Lie groups by Kirilov, Alexandre, de Moraes, Wagner Augusto Almeida, Ruzhansky, Michael

    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. 9

    Solvability of Vekua-type periodic operators and applications to classical equations by Kirilov, Alexandre, de Moraes, Wagner Augusto Almeida, Tokoro, Pedro Meyer

    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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    Journal Article
  10. 10

    Global solvability and hypoellipticity for evolution operators on tori and spheres by Kirilov, Alexandre, Kowacs, André Pedroso, de Moraes, Wagner Augusto Almeida

    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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    Journal Article
  11. 11

    On the global properties of Fourier multipliers in the nonharmonic analysis setting by de Moraes, Wagner Augusto Almeida

    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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    Journal Article
  12. 12

    Denjoy-Carleman solvability of Vekua-type periodic operators by Kirilov, Alexandre, de Moraes, Wagner Augusto Almeida, Tokoro, Pedro Meyer

    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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    Journal Article
  13. 13

    Global solvability and hypoellipticity for evolution operators on tori and spheres by Kowacs, André Pedroso, Kirilov, Alexandre, de Moraes, Wagner Augusto Almeida

    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. 14

    Global analytic hypoellipticity for a class of evolution operators on $\mathbb{T}^1\times\mathbb{S}^3 by Kirilov, Alexandre, da Silva, Ricardo Paleari, de Moraes, Wagner Augusto Almeida

    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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    Journal Article