[Turkmath:449] FW: ijmms-special issue

[Ahmet Okay Celebi]

Degerli liste uyeleri,

Hindawi yayin grubunun dergilerinden IJMMS'da

"Complex Partial Differential Equations and Higher Dimensional Versions"

baslikli bir "ozel sayi" yayinlanacaktir. Konuyla ilgili olan Editorun mesaji ve
dergideki tanitim yazisi asagidadir.

Ilgilenenlere saygiyla duyurulur.

A.Okay Celebi


Dear Colleagues,

Under the web site http://www.hindawi.com/journals/ijmms/si/787428/cfp/
please find a call for manuscripts for a "special issue on Complex Partial
Differential Equations and Higher Dimensional Versions". It would be nice
if you and your collaborators would submit manuscripts.
IJMMS is an open access journal. This means that publication charges will
be due. Normally these publication charges are paid from faculty budgets.
Hopefully this will be the case for you also.

Best regards
Heinrich Begehr

$$$$$$$$$$$

Complex Partial Differential Equations and Higher Dimensional Versions
Call for Papers
Within the last two decades the theory of complex partial differential equations has undergone considerable developments in several directions. One such direction deals with the study of PDEs of arbitrary orders in planar domains. General linear equations of elliptic type with model operators as leading terms are investigated. For instance, problems involving polyanalytic and polyharmonic operators are of interest. Various boundary conditions lead to the analysis of corresponding fundamental solutions. For the polyharmonic operator, there is a variety of such fundamental solutions: the polyharmonic Green function, the polyharmonic Neumann function, and many hybrids, arising through convolution of lower order particular fundamental solutions.
The study of these problems is very often motivated and related to concrete physical problems in elasticity and deformation of surfaces. In recent years, explicit Green and Neumann functions were constructed for only balls and half spaces in real Euclidean spaces. The methods used are naturally different from the classical complex analysis methods in the two-dimensional case. In this context, Clifford analysis might be helpful. Besides providing new insight into the general theory of polyharmonic boundary value problems, explicit solutions for such problems in certain cases would be of interest. The study of elliptic equations with singular coefficients and the study of general linear elliptic equations of higher orders are still in their infancy and just few cases are investigated. Another direction in which PDE has recently seen significant advances is in the understanding of involutive systems of vector fields with complex valued coefficients.
Prototypes of such systems include Cauchy-Riemann structures and more generally hypoanalytic structures. Techniques such as the FBI transform are used to analyze hypoellipticity of vector field and uniqueness of Cauchy problems for certain nonlinear first order PDEs. Extensions of classical results of complex analysis (similarity principle and F. and M. Riesz Theorem) are finding their way to solutions of elliptic equations with degeneracies. Computational analysis based on fast Fourier transform, recursive relations in Fourier space, quadrature procedures in combination with decomposition methods, and so forth have recently started to make inroads into complex PDEs. Original papers and survey articles related to these aspects of PDE are welcome. Original papers and survey articles related to these aspects of PDE are welcome. They will contribute to a better understanding of complex differential equations and they will help build their theory.
Potential topics include, but are not limited to:
• Boundary value problems for polyanalytic, polyharmonic, and general model operators’ equations in the plane
• Explicit polyanalytic Schwarz kernels in planar domains
• Explicit polyharmonic Green, Neumann, and hybrid Green functions in certain planar domains (disc, half plane, etc.)
• General higher order linear elliptic equations
• Higher order elliptic equations with singular coefficients
• Polyharmonic equations and boundary value problems in higher dimensions
• Properties of solutions of systems of integrable complex vector fields
• Fast algorithm methods for solving complex partial differential equations
Authors can submit their manuscripts via the Manuscript Tracking System at http://mts.hindawi.com/submit/journals/ijmms/mathematical.analysis/cpde/.
Manuscript Due Friday, 18 September 2015
First Round of Reviews Friday, 11 December 2015
Publication Date Friday, 5 February 2016
Lead Guest Editor
• Heinrich Begehr, Freie Universität Berlin, Berlin, Germany
Guest Editors
• A. Okay Celebi, Yeditepe Universitesi, Istanbul, Turkey
• Abdelhamid Meziani, Florida International University, Miami, USA
• Tynysbek Kal'menov, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

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