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Meziani, Abdelhamid
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Professor
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Mathematics and Statistics
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College of Arts, Sciences & Education
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Scholarly & Creative Works
Research
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Scholarly & Creative Works
selected scholarly works & creative activities
Article
2024
Infinitesimal bendings for classes of two-dimensional surfaces
.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
. 69:122-144.
Full Text via DOI:
10.1080/17476933.2022.2118264
Web of Science:
000854247500001
2023
A generalized CR equation with isolated singularities
.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
. 68:1857-1869.
Full Text via DOI:
10.1080/17476933.2022.2080200
Web of Science:
000805274700001
2023
Cauchy Integral Operator in Complex Structures with Degeneracies
.
JOURNAL OF GEOMETRIC ANALYSIS
. 33.
Full Text via DOI:
10.1007/s12220-022-01073-0
Web of Science:
000883601300003
2022
A LOJASIEWICZ INEQUALITY IN HYPOCOMPLEX STRUCTURES OF R-2
.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
. 150:3875-3887.
Full Text via DOI:
10.1090/proc/16019
Web of Science:
000800697700001
2020
A Gevrey Differential Complex on the Torus
.
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
. 26.
Full Text via DOI:
10.1007/s00041-019-09713-w
Web of Science:
000520222300001
2019
CLASS OF HYPOCOMPLEX STRUCTURES ON THE TWO-DIMENSIONAL TORUS
.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
. 147:3937-3946.
Full Text via DOI:
10.1090/proc/14674
Web of Science:
000481988900027
2018
A class of planar vector fields with homogeneous singular points: Solvability and boundary value problems
.
JOURNAL OF DIFFERENTIAL EQUATIONS
. 265:5297-5314.
Full Text via DOI:
10.1016/j.jde.2018.06.035
Web of Science:
000443799100018
2017
NORMALIZATION AND SOLVABILITY OF VECTOR FIELDS NEAR TRAPPED ORBITS
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
. 369:3325-3354.
Full Text via DOI:
10.1090/tran/6741
Web of Science:
000398030400011
2017
Riemann-Hilbert problem for a class of hypocomplex vector fields
.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
. 62:1413-1424.
Full Text via DOI:
10.1080/17476933.2016.1197917
Web of Science:
000406237200002
2017
Solvability of planar complex vector fields with homogeneous singularities
.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
. 62:1447-1473.
Full Text via DOI:
10.1080/17476933.2017.1279611
Web of Science:
000406237200004
2016
Cohomology relative to a system of closed forms on the torus
.
MATHEMATISCHE NACHRICHTEN
. 289:2147-2158.
Full Text via DOI:
10.1002/mana.201500293
Web of Science:
000389128100004
2016
Boundary value problems for a class of planar complex vector fields
.
JOURNAL OF DIFFERENTIAL EQUATIONS
. 261:5609-5636.
Full Text via DOI:
10.1016/j.jde.2016.08.011
Web of Science:
000384874400014
2014
Solvability of a first order differential operator on the two-torus
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
. 416:166-180.
Full Text via DOI:
10.1016/j.jmaa.2014.02.006
Web of Science:
000334898100011
2014
The Riemann-Hilbert problem for elliptic vector fields with degeneracies
.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
. 59:751-768.
Full Text via DOI:
10.1080/17476933.2013.778001
Web of Science:
000334080400001
2013
On the Hypoellipticity of Differential Forms with Isolated Singularities
.
JOURNAL OF GEOMETRIC ANALYSIS
. 23:1236-1256.
Full Text via DOI:
10.1007/s12220-011-9285-x
Web of Science:
000321911300012
2013
NONRIGIDITY OF A CLASS OF TWO DIMENSIONAL SURFACES WITH POSITIVE CURVATURE AND PLANAR POINTS
.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
. 141:2137-2143.
Full Text via DOI:
10.1090/S0002-9939-2013-11488-7
Web of Science:
000326571400028
2012
On First and Second Order Planar Elliptic Equations with Degeneracies
.
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY
. 217:1-+.
Web of Science:
000302509600001
2012
On first and second order planar elliptic equations with degeneracies
.
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY
. 217:1-90.
Full Text via DOI:
10.1090/S0065-9266-2011-00634-9
2011
Global solvability of real analytic complex vector fields in two variables
.
JOURNAL OF DIFFERENTIAL EQUATIONS
. 251:2896-2931.
Full Text via DOI:
10.1016/j.jde.2011.05.014
Web of Science:
000294835800010
2011
PROPERTIES OF SOLUTIONS OF A CLASS OF PLANAR ELLIPTIC OPERATORS WITH DEGENERACIES
.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
. 139:3937-3949.
Full Text via DOI:
10.1090/S0002-9939-2011-10826-8
Web of Science:
000295893700018
2011
On the two-dimensional stationary Schrodinger equation with a singular potential
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
. 377:420-427.
Full Text via DOI:
10.1016/j.jmaa.2010.11.004
Web of Science:
000286493500038
2009
Properties of solutions of a planar second-order elliptic equation with a singularity
.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
. 54:677-688.
Full Text via DOI:
10.1080/17476930902998928
Web of Science:
000279109900004
2008
Representation of solutions of a singular Cauchy-Riemann equation in the plane
.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
. 53:1111-1130.
Full Text via DOI:
10.1080/17476930802509239
Web of Science:
000207593100004
2007
Infinitesimal bendings of high orders for homogeneous surfaces with positive curvature and a flat point
.
JOURNAL OF DIFFERENTIAL EQUATIONS
. 239:16-37.
Full Text via DOI:
10.1016/j.jde.2007.04.010
Web of Science:
000248657300002
2005
Elliptic planar vector fields with degeneracies
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
. 357:4225-4248.
Full Text via DOI:
10.1090/S0002-9947-04-03658-X
Web of Science:
000230719300019
2005
Solvability near the characteristic set for a class of planar vector fields of infinite type
.
ANNALES DE L INSTITUT FOURIER
. 55:77-+.
Web of Science:
000230267200004
2003
Infinitesimal bendings of homogeneous surfaces with nonnegative curvature
.
COMMUNICATIONS IN ANALYSIS AND GEOMETRY
. 11:697-719.
Web of Science:
000185368100003
2003
Generalized CR Equation with a Punctual Singularity: The Model Case
Full Text via DOI:
10.1080/0278107031000103106
2003
Generalized CR Equation with a Singularity
Full Text via DOI:
10.1080/0278107031000152599
2002
HYPOELLIPTICITY OF NONSINGULAR CLOSED 1-FORMS ON COMPACT MANIFOLDS
.
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
. 27:1255-1269.
Full Text via DOI:
10.1081/pde-10486448
2002
Hypoellipticity of nonsingular closed 1-forms on compact manifolds
.
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
. 27:1255-1269.
Full Text via DOI:
10.1081/PDE-120005837
Web of Science:
000177464600001
2001
On planar elliptic structures with infinite type degeneracy
.
JOURNAL OF FUNCTIONAL ANALYSIS
. 179:333-373.
Full Text via DOI:
10.1006/jfan.2000.3695
Web of Science:
000166745900003
2000
Semiglobal solvability of a class of planar vector fields of infinite type
Full Text via DOI:
10.21711/231766362000/rmc182
1999
On the similarity principle for planar vector fields: Application to second order PDE
.
JOURNAL OF DIFFERENTIAL EQUATIONS
. 157:1-19.
Full Text via DOI:
10.1006/jdeq.1999.3627
Web of Science:
000082512100001
1999
On the integrability of Mizohata structures on the sphere S
2
.
JOURNAL OF GEOMETRIC ANALYSIS
. 9:301-315.
Full Text via DOI:
10.1007/bf02921940
1997
The Mizohata complex
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
. 349:1029-1062.
Full Text via DOI:
10.1090/S0002-9947-97-01854-0
Web of Science:
A1997WR17300007
1997
Global properties of a class of planar vector fields of infinite type
.
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
. 22:381-425.
Full Text via DOI:
10.1080/03605309708821257
1997
Global properties of a class of planar vector fields of infinite type
.
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
. 22:99-142.
Web of Science:
A1997WL70400006
1996
On the realizability of Lewy structures
.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
. 124:2767-2772.
Full Text via DOI:
10.1090/S0002-9939-96-03592-7
Web of Science:
A1996VK08500020
1996
On rotationally invariant vector fields in the plane
.
MANUSCRIPTA MATHEMATICA
. 89:355-371.
Full Text via DOI:
10.1007/BF02567523
Web of Science:
A1996UB87700007
1995
CLASSIFICATION OF GERMS OF MIZOHATA STRUCTURES
.
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
. 20:499-539.
Full Text via DOI:
10.1080/03605309508821103
Web of Science:
A1995QL44100005
1993
PERTURBATION OF A CLASS OF CR STRUCTURES OF CODIMENSION LARGER THAN ONE
.
JOURNAL OF FUNCTIONAL ANALYSIS
. 116:225-244.
Full Text via DOI:
10.1006/jfan.1993.1112
Web of Science:
A1993LX31100010
1993
TOPOLOGICAL INVARIANCE OF THE SOLVABILITY OF COMPLEX-VALUED VECTOR-FIELDS IN THE PLANE
.
DUKE MATHEMATICAL JOURNAL
. 71:609-628.
Full Text via DOI:
10.1215/S0012-7094-93-07123-2
Web of Science:
A1993LV58200010
1992
Condition P for singular real analytic differential forms in the plane
.
JOURNAL OF GEOMETRIC ANALYSIS
. 2:157-182.
Full Text via DOI:
10.1007/BF02921387
1990
ON THE INTEGRABILITY OF SINGULAR DIFFERENTIAL FORMS IN 2 COMPLEX-VARIABLES
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
. 321:595-620.
Full Text via DOI:
10.2307/2001577
Web of Science:
A1990EG98300010
1990
ON THE INTEGRALS OF A SINGULAR REAL ANALYTIC DIFFERENTIAL FORM IN RN
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
. 321:583-594.
Full Text via DOI:
10.2307/2001576
Web of Science:
A1990EG98300009
1990
TOPOLOGICAL RATIONALIZATION OF A CLASS OF MEROMORPHIC FUNCTIONS
.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
. 109:699-707.
Full Text via DOI:
10.2307/2048209
Web of Science:
A1990DR67800018
1990
On the integrability of singular differential forms in two complex variables
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
. 321:595-620.
Full Text via DOI:
10.1090/S0002-9947-1990-0989582-7
1990
On the integrals of a singular real analytic differential form in r
n
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
. 321:583-594.
Full Text via DOI:
10.1090/S0002-9947-1990-0991966-8
1990
Topological rationalization of a class of meromorphic functions
.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
. 109:699-707.
Full Text via DOI:
10.1090/S0002-9939-1990-1017005-6
Book
2005
Geometric Analysis of PDE and Several Complex Variables Dedicated to François Treves
Book Chapter
2017
Properties of solutions of a class of hypocomplex vector fields
. 29-50.
Full Text via DOI:
10.1090/conm/681/13660
2010
Solvability of Planar Complex Vector Fields with Applications to Deformation of Surfaces
. 263-278.
Full Text via DOI:
10.1007/978-3-0346-0009-5_16
Web of Science:
000291368700016
Conference
2018
A class of planar hypocomplex vector fields: Solvability and boundary value problems
. 83-107.
Full Text via DOI:
10.1007/978-3-030-00874-1_3
2017
Properties of solutions of a class of hypocomplex vector fields
. 29-50.
Full Text via DOI:
10.1090/conm/681/1.3660
Web of Science:
000401592500002
2015
Pseudoconvex Mizohata Structures on Compact Manifolds
. 241-266.
Full Text via DOI:
10.1007/978-3-319-17443-3_14
Web of Science:
000377366600014
2012
Behavior of a class of second-order planar elliptic equations with degeneracies
. 227-237.
Full Text via DOI:
10.1007/978-3-0348-0346-5_14
2006
Planar complex vector fields and infinitesimal bendings of surfaces with nonnegative curvature
. 189-201.
Web of Science:
000237282200015
2005
Representation of solutions of planar elliptic vector fields with degeneracies
. 357-370.
Web of Science:
000227436500022
Editorial Material
2017
Special issue on complex partial differential equations and higher dimensional versions
.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
. 1411-1412.
Full Text via DOI:
10.1080/17476933.2017.1305592
Preprint
2021
Infinitesimal Bendings for Classes of Two Dimensional Surfaces
Full Text via DOI:
10.48550/arxiv.2111.11494
2019
Class of hypocomplex structures on the two dimensional torus
Full Text via DOI:
10.48550/arxiv.1902.03922
2015
Properties of Solutions of a Class of Hypocomplex Vector Fields
Full Text via DOI:
10.48550/arxiv.1511.02098
2012
The Riemann-Hilbert problem for elliptic vector fields with degeneracies
Full Text via DOI:
10.48550/arxiv.1210.0931
Research
principal investigator on
US Morocco Workshop on Geometric Analysis
awarded by
National Science Foundation
2010 - 2014
Identifiers
ORCID iD
https://orcid.org/0000-0002-0256-2715
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Mathematics
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