Search Results - "Kirilov, Alexandre"

On the global solvability for overdetermined systems by BERGAMASCO, ADALBERTO P., KIRILOV, ALEXANDRE, NUNES, WAGNER VIEIRA LEITE, ZANI, SÉRGIO LUÍS

“…We consider a class of systems of two smooth vector fields on the 3-torus associated to a closed 1-form. We prove that the global solvability is completely…”
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Global analytic hypoellipticity for a class of evolution operators on T1×S3 by Kirilov, Alexandre, Paleari, Ricardo, de Moraes, Wagner A.A.

“…In this paper, we present necessary and sufficient conditions to have global analytic hypoellipticity for a class of first-order operators defined on T1×S3. In…”
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Global analytic hypoellipticity for a class of evolution operators on T 1 × S 3 by Kirilov, Alexandre, Paleari, Ricardo, de Moraes, Wagner A.A.

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

“…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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Global hypoellipticity and global solvability for vector fields on compact Lie groups by Kirilov, Alexandre, de Moraes, Wagner A.A., Ruzhansky, Michael

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

“…Abstract 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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Systems of differential operators in time-periodic Gelfand–Shilov spaces by de Ávila Silva, Fernando, Cappiello, Marco, Kirilov, Alexandre

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Global Hypoellipticity for a Class of Pseudo-differential Operators on the Torus by de Ávila Silva, Fernando, Gonzalez, Rafael Borro, Kirilov, Alexandre, de Medeira, Cleber

“…We show that an obstruction of number-theoretical nature appears as a necessary condition for the global hypoellipticity of the pseudo-differential operator L…”
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Global hypoellipticity for first-order operators on closed smooth manifolds by de Ávila Silva, Fernando, Gramchev, Todor, Kirilov, Alexandre

“…The main goal of this paper is to address global hypoellipticity issues for the class of first-order pseudo-differential operators L = D t + C ( t , x , D x ),…”
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On the global solvability of involutive systems by Bergamasco, Adalberto P., de Medeira, Cleber, Kirilov, Alexandre, Zani, Sérgio L.

“…We consider a class of involutive systems in Tn+1 associated with a closed 1-form defined on the torus Tn. We prove that, under a geometric condition, the…”
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Global solvability for a class of overdetermined systems by Bergamasco, Adalberto P., Kirilov, Alexandre

“…In this work we consider systems of two smooth vector fields on the three-dimensional torus associated to a closed 1-form. We prove that, for such systems, the…”
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Global solvability and global hypoellipticity for a class of complex vector fields on the 3-torus by Bergamasco, Adalberto P., Silva, Paulo L. Dattori da, Gonzalez, Rafael B., Kirilov, Alexandre

“…This work deals with global solvability and global hypoellipticity of complex vector fields of the form L = ∂ / ∂ t + i b 1 ( t ) ∂ / ∂ x 1 + i b 2 ( t ) ∂ / ∂…”
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Denjoy-Carleman solvability of Vekua-type periodic operators by Kirilov, Alexandre, de Moraes, Wagner Augusto Almeida, Tokoro, Pedro Meyer

“…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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Systems of differential operators in time-periodic Gelfand-Shilov spaces by Silva, Fernando de Ávila, Cappiello, Marco, Kirilov, Alexandre

“…This paper explores the global properties of time-independent systems of operators in the framework of Gelfand-Shilov spaces. Our main results provide both…”
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Global solvability and hypoellipticity for evolution operators on tori and spheres by Kowacs, André Pedroso, Kirilov, Alexandre, de Moraes, Wagner Augusto Almeida

“…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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On the Sobolev boundedness of vector fields on compact Riemannian manifolds by Cardona, Duván, Kirilov, Alexandre, de Moraes, Wagner A. A, Kowacs, André Pedroso

“…We analyse the sharpness of the Sobolev order for vector fields on compact Riemannian manifolds. As an application, we then prove ill-posedness for a certain…”
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Solvability of Vekua-type periodic operators and applications to classical equations by Kirilov, Alexandre, de Moraes, Wagner Augusto Almeida, Tokoro, Pedro Meyer

“…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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Global and Partial Fourier Series for Denjoy-Carleman Classes on the Torus by Kirilov, Alexandre, Victor, Bruno de Lessa

“…In this work, we develop Fourier Analysis for a family of classes of ultradifferentiable functions of Romieu type on the torus, usually known as…”
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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

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

“…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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