Uniquely solvable problems for the Laplace-Beltrami operator on a sphere punctured by a curve
Dosmagulova K. Kanguzhin B.
17 September 2023Erdal Karapinar
Results in Nonlinear Analysis
2023#6Issue 343 - 49 pp.
A fixed smooth arc from a two-dimensional sphere of three-dimensional space is removed. The Laplace-Beltrami operator on the resulting surface is studied. In the paper the boundary conditions on a remote arc are found, which guarantee the existence of a unique solution to the inhomogeneous Laplace-Beltrami equation.
Laplace-Beltrami operator , Single and double layer potentials , Two-dimensional Sphere
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Department of Mathematics, Al-Farabi Kazakh National University, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
Department of Mathematics
Institute of Mathematics and Mathematical Modeling
Department of Mathematics: Analysis
10 лет помогаем публиковать статьи Международный издатель
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