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Quantitative analysis of the influence of faults on deep in situ stress under different stress types. [PDF]

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Integral representations in the complex plane and iterated boundary value problems

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

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

Ukrainian Mathematical Journal, 2016
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Local uniqueness of a boundary value problem in the complex plane

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

Reports 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 ...
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