Search Results - "Dattori da Silva, Paulo L."
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Gevrey semiglobal solvability for a class of elliptic vector fields with degeneracies
Published in Mathematische Nachrichten (01-08-2023)“…We deal with Gevrey solvability of a class of complex vector fields defined on Ω=R×S1$\Omega = \mathbb {R}\times S^1$, given by…”
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A non‐homogeneous weakly damped Lamé system with time‐dependent delay
Published in Mathematical methods in the applied sciences (30-05-2023)“…This paper is concerned with asymptotic stability of the Lamé system, which arises in isotropic elasticity and has remarkable application in seismology. The…”
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Existence and Regularity of Periodic Solutions to Certain First-Order Partial Differential Equations
Published in The Journal of fourier analysis and applications (01-02-2017)“…We present conditions on the coefficients of a class of vector fields on the torus which yield a characterization of global solvability as well as global…”
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Solvability for perturbations of a class of real vector fields on the two-torus
Published in Journal of mathematical analysis and applications (15-12-2020)“…Let L=∂t+a(x)∂x be a real vector field defined on the two-dimensional torus T2, where a is a real-valued and smooth function on T1. We deal with the global…”
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Solvability of a Class of First Order Differential Operators on the Torus
Published in Resultate der Mathematik (01-05-2021)“…This paper deals with Gevrey global solvability on the N -dimensional torus ( T N ≃ R N / 2 π Z N ) to a class of nonlinear first order partial differential…”
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Gevrey semiglobal solvability for a class of complex vector fields
Published in Complex variables and elliptic equations (02-09-2022)“…We deal with Gevrey solvability of a class of complex vector fields, defined on , where is the unit circle, given by , , near the characteristic set . We show…”
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Solvability near the characteristic set for a class of first‐order linear partial differential operators
Published in Mathematische Nachrichten (01-06-2018)“…In this work we deal with solvability of first‐order differential equations in the form Lu=pu+f, where L is a planar complex vector field, elliptic everywhere…”
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Global solvability and global hypoellipticity for a class of complex vector fields on the 3-torus
Published in Journal of pseudo-differential operators and applications (01-09-2015)“…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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Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type
Published in Journal of Differential Equations (15-02-2009)“…We study the Gevrey solvability of a class of complex vector fields, defined on Ω ϵ = ( − ϵ , ϵ ) × S 1 , given by L = ∂ / ∂ t + ( a ( x ) + i b ( x ) ) ∂ / ∂…”
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Gevrey global solvability of non-singular real first-order differential operators
Published in Annali di matematica pura ed applicata (01-04-2013)“…In this article we deal with Gevrey global solvability of non-singular first-order operators defined on an n -dimensional s -Gevrey manifold, s > 1. As done by…”
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11
Nonexistence of global solutions for a class of complex vector fields on two-torus
Published in Journal of mathematical analysis and applications (15-03-2009)“…The goal of this paper is study the global solvability of a class of complex vector fields of the special form L = ∂ / ∂ t + ( a + i b ) ( x ) ∂ / ∂ x , a , b…”
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12
Ck-solvability near the characteristic set for a class of elliptic vector fields with degeneracies
Published in Archiv der Mathematik (01-03-2015)“…This paper deals with the solvability near the characteristic set Σ = { 0 } × S 1 of operators of the form L = ∂ / ∂ t + ( x n a ( x ) + i x b ( x ) ) ∂ / ∂ x…”
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13
C k -solvability near the characteristic set for a class of elliptic vector fields with degeneracies
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Solvability in the large for a class of complex vector fields on the cylinder
Published in Bulletin des sciences mathématiques (01-03-2012)“…This work deals with global solvability of a class of complex vector fields of the form L=∂/∂t+(a(x,t)+ib(x,t))∂/∂x, where a and b are real-valued C∞…”
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15
Solvability near the characteristic set for a special class of complex vector fields
Published in Archiv der Mathematik (01-02-2012)“…This work deals with the solvability near the characteristic set Σ = {0} × S 1 of operators of the form , and a (0) ≠ 0, defined on , , where a and b are…”
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