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An over-determined boundary problem for the Helmholtz equation in a semiinfinite domain with a curvilinear boundaryIn this paper we consider an over-determined Cauchy problem for the Helmholtz equation in a
Singular Integral Equations on Non-Smooth Curves in Hölder–Frechét Space© 2018, Allerton Press, Inc. We consider singular integral equations on non-smooth rectifiable
An over-determined boundary problem for the Helmholtz equation in a semiinfinite domain with a curvilinear boundaryIn this paper we consider an over-determined Cauchy problem for the Helmholtz equation in a
Hölder Spaces on Closed Curves© 2018, Pleiades Publishing, Ltd. Let Γ be a closed Jordan curve on the complex plane dividing
Cauchy projectors on non-smooth and non-rectifiable curves the Hölder condition with exponent υ ∈ (0,1]: It is well known that on any smooth (or piecewise-smooth) curve
The problem of determining of the source function and of the leading coefficient in the many-dimensional semilinear parabolic equation in the class of smooth bounded functions is proved. A condition is found for the dependence of the upper bound
An Identification Problem of Nonlinear Lowest Term Coefficient in the Special Form for Two-Dimensional Semilinear Parabolic Equation term in a 2D
semilinear parabolic equation with overdetermination conditions given on a smooth curve
The Cauchy Singular Integral on Non-Smooth Curve on non-smooth curves: various versions of its definition, conditions for its existence, boundedness
Investigation of the sets of real solutions of non-linear equationsWe study the problem of constructing a smooth curve lying on the level set of a smooth map
Over-determined boundary value problems for PDE and their application in the wave propagation theory© 2014 Taylor & Francis. The solvability conditions of the over-determined boundary value problems
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