Search Results - "Meziani, Abdelhamid"

Cauchy Integral Operator in Complex Structures with Degeneracies by Meziani, Abdelhamid

“…The solvability of the equation L u = f is considered for a hypocomplex vector field L in R 2 . When L satisfies a Łojasiewiczproperty,the solutions can be…”
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Normalization and solvability of vector fields near trapped orbits by MEZIANI, ABDELHAMID

“…We study the solvability and normalization, in the real analytic and smooth categories, of a class of vector fields in a neighborhood of an invariant torus…”
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Elliptic planar vector fields with degeneracies by Meziani, Abdelhamid

“…This paper deals with the normalization of elliptic vector fields in the plane that degenerate along a simple and closed curve. The associated homogeneous…”
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Solvability of planar complex vector fields with homogeneous singularities by Meziani, Abdelhamid

“…In this paper, we study the equation , where L is a -valued vector field in with a homogeneous singularity. The properties of the solutions are linked to the…”
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Global solvability of real analytic complex vector fields in two variables by Meziani, Abdelhamid

“…This paper deals with the global solvability of a complex vector field with real analytic coefficients in two real variables. The vector field is assumed to…”
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Infinitesimal bendings for classes of two-dimensional surfaces by de Lessa Victor, B., Meziani, Abdelhamid

“…Infinitesimal bendings for classes of two-dimensional surfaces in $ \mathbb {R}^3 $ R 3 are investigated. The techniques used to construct the bending fields…”
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On the Hypoellipticity of Differential Forms with Isolated Singularities by Meziani, Abdelhamid

“…Hypoellipticity for a class of germs of ℂ-valued, real-analytic 1-forms with an isolated singularity is studied. The main result states that in dimension ≥3…”
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A generalized CR equation with isolated singularities by de Lessa Victor, B., Meziani, Abdelhamid

“…The generalized CR equation is studied when the coefficients a and b have a finite number of singular points inside the domain. Solutions are constructed via…”
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Representation of solutions of a singular Cauchy-Riemann equation in the plane by Meziani, Abdelhamid

“…This article deals with the Bers-Vekua type equations with a singular point. Series representations of solutions and Green functions are constructed. A…”
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The Mizohata complex by Meziani, Abdelhamid

“…This paper deals with the local solvability of systems of first order linear partial differential equations defined by a germ \omega at 0\in \mathbb{R}^{n+1}…”
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Infinitesimal bendings of high orders for homogeneous surfaces with positive curvature and a flat point by Meziani, Abdelhamid

“…For any given n ∈ Z + and k ∈ Z + , infinitesimal bendings of order n and of class C k are constructed for a class of surfaces in R 3 . These surfaces are…”
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On the realizability of Lewy structures by Meziani, Abdelhamid

“…We prove that a nondegenerate CR structure with signature (p,n-p) at 0\in \mathbb{R}^{2n+1} and with n first integrals z_{1},\cdots ,z_{n} satisfying…”
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A Lojasiewicz Inequality in Hypocomplex Structures of $\mathbb{R}^2 by Meziani, Abdelhamid

“…For a real analytic complex vector field $L$ in an open set of $\mathbb{R}^2$, with local first integrals that are open maps, we attach a number $\mu \ge 1$…”
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Properties of solutions of a planar second-order elliptic equation with a singularity by Meziani, Abdelhamid

“…Local properties of solutions of a second-order elliptic partial differential equation in two variables with a point singularity are studied. Existence of…”
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Special issue on complex partial differential equations and higher dimensional versions by Begehr, Heinrich, Celebi, Ahmet Okay, Kalmenov, Tynysbek, Meziani, Abdelhamid

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On the two-dimensional stationary Schrödinger equation with a singular potential by Kravchenko, Vladislav V., Meziani, Abdelhamid

“…We study the equation−△u(x,y)+ν(x,y)u(x,y)=0 when the potential ν has the following expressionν(r,θ)=A(θ)r2 where (r,θ) are the polar coordinates in R2 and A…”
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On Planar Elliptic Structures with Infinite Type Degeneracy by Meziani, Abdelhamid

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HYPOELLIPTICITY OF NONSINGULAR CLOSED 1-FORMS ON COMPACT MANIFOLDS by Meziani, Abdelhamid

“…Hypoellipticity of nonsingular closed 1-forms on compact manifolds is characterized by a diophantine condition on the generators of the group of periods of the…”
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Class of hypocomplex structures on the two dimensional torus by Meziani, Abdelhamid, Zugliani, Giuliano

“…We study the H\"{o}lder solvability of a class of complex vector fields on the torus $\mathbb{T}^2$. We make use of the Theta function to associate a…”
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Infinitesimal Bendings for Classes of Two Dimensional Surfaces by Victor, B. de Lessa, Meziani, Abdelhamid

“…Infinitesimal bendings for classes of two-dimensional surfaces in $\mathbb{R}^3$ are investigated. The techniques used to construct the bending fields include…”
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