Results 201 to 210 of about 421,084 (235)

Material Fracturing and Failure Simulation Datasets. [PDF]

open access: yesSci Data
Hill RG   +17 more
europepmc   +1 more source

Integral representations in the complex plane and iterated boundary value problems

open access: closedRocky Mountain Journal of Mathematics, 2022
In the attempt to develop a theory for complex partial differential equations, the study of model equations are a first necessity. In recent years polyanalytic and polyharmonic differential operators were studied in relation to boundary value problems. They are mainly the Schwarz boundary value problem for the polyanalytic and Dirichlet, Neumann, Robin
Akel, Mohamed   +2 more
openaire   +2 more sources

Boundary-Value Problems for the Helmholtz Equation in Domains of the Complex Plane

open access: closedUkrainian Mathematical Journal, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
М. А. Sukhorol’s’kyi
openaire   +2 more sources

Local uniqueness of a boundary value problem in the complex plane

open access: closedAsymptotic Analysis, 1993
We will consider the following boundary value problem for a second-order linear differential equation with polynomial coefficients in the complex plane: is there a differential equation of the specific type with linearly independent solutions y1(x) and y2(x) such that the ratio y1(x)/y2(x) can be prescribed both at the origin and at infinity? We shall
Tatsuhiko J. Tabara
openaire   +3 more sources

On some boundary value problems on a strip in the complex plane

open access: closedReports on Mathematical Physics, 2003
The Sommerfeld integral inversion method for the Helmholtz equation in an angular region with different boundary values leads to boundary value problems in an infinite strip of the complex plane. The author investigates a generic system for such boundary value problems and gives the existence and uniqueness results with optimal growth estimates on the ...
William Durand
openaire   +3 more sources

Solutions of Boundary-Value Problems for the Helmholtz Equation in Simply Connected Domains of the Complex Plane

open access: closedJournal of Mathematical Sciences, 2017
In the paper the conformal mappings of simply connected domains onto the circle are used to construct bases in the spaces of functions being analytical in these domains. The obtained basic functions are bi-orthogonal with the Faber polynomials. Based on the analytical functions expansions into series in basic functions systems, the solutions of ...
M. A. Sukhorolsky
openaire   +2 more sources

Some discontinuous boundary value problems for nonlinear elliptic complex equations of first order in the plane

open access: closedComplex Variables, Theory and Application: An International Journal, 1994
In Refs. [1], [2] and [4], we discussed the discontinuous Riemann-hilbert boundary value problems for nonlinear uniformly elliptic complex equations of first order in a multiply connected plane domain, but, there the solution for the modified boundary value problem with the indeces ...
Guo-Chun Wen, Chung-Chun Yang
openaire   +2 more sources

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