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ON THE SINGULARITIES OF SOLUTIONS OF THE DIRICHLET PROBLEM IN THE EXTERIOR OF A SLENDER CONE
Mathematics of the USSR-Sbornik, 1985Translation from Mat. Sb., Nov. Ser. 122(164), No.4(12), 435-457 (Russian) (1983; Zbl 0543.35026).
Maz'ya, V. G. +2 more
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On the Exterior Dirichlet Problem for Special Lagrangian Equations [PDF]
Transactions of the American Mathematical Society, 2019 In this paper, we establish the existence and uniqueness theorem of the exterior Dirichlet problem for special Lagrangian equations with prescribed asymptotic behavior at infinity.
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A nonsingular-kernel Dirichlet-to-Dirichlet mapping method for the exterior Stokes problem
Advances in Computational MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaojuan Liu +3 more
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Mathematical Notes, 2001
We study the unique solvability of the Dirichlet problem for the biharmonic equation in the exterior of a compact set under the assumption that a generalized solution of this problem has a bounded Dirichlet integral with weight |x|a. Depending on the value of the parameter a,a we prove uniqueness theorems or present exact formulas for the dimension of ...
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We study the unique solvability of the Dirichlet problem for the biharmonic equation in the exterior of a compact set under the assumption that a generalized solution of this problem has a bounded Dirichlet integral with weight |x|a. Depending on the value of the parameter a,a we prove uniqueness theorems or present exact formulas for the dimension of ...
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The exterior dirichlet problem for†
Applicable Analysis, 1978By the method of energy integrals and generalized double layer potentials the existence and uniqueness of the solution to the exterior Dirichlet problem for is ...
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On the Exterior Two-Dimensional Dirichlet Problem for Elliptic Equations
Ricerche Di Matematica, 2009The authors give a necessary and sufficient condition in terms of boundary data and equation coefficients for the existence and uniqueness of a weak solution to the Dirichlet problem for elliptic equations in two-dimensional exterior Lipschitz domains. It is also proved that the solution converges uniformly at infinity to an assigned constant value.
Remigio RUSSO
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Solution of the Dirichlet and Stokes exterior boundary problems for the Earth's ellipsoid
Journal of Geodesy, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brovar, V. V. +2 more
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The Dirichlet problem for Stokes equation in a domain exterior to an open surface
Mathematical Methods in the Applied Sciences, 1997This paper deals with the Dirichlet problem for the Stokes equation in the exterior domain of an open surface. The system under consideration is elliptic in the sense of Douglis-Nirenberg. The author announces uniqueness and existence theorems in the Bessel potential and in the Besov spaces.
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On a robust BEM formulation for the Dirichlet problem of exterior stokes flow
Mechanics Research Communications, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Exterior Dirichlet Problem in the Class of Bounded Functions
Theory of Probability & Its Applications, 1966openaire +2 more sources