Geodesic
Well-Posed Problems for the Laplace Operator in a Punctured Disk
Matematičeskie zametki, Tome 89 (2011) no. 6, pp. 856-867

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We give a complete description of well-posed solvable boundary-value problems for the Laplace operator in the disk and in the punctured disk. We present formulas for resolvents of well-posed problems for the Laplace operator in the disk.
Keywords: Laplace operator, well-posed solvable boundary-value problem, punctured disk, nonhomogeneous Laplace equation, Dirichlet boundary condition, Green function, Dirac function. 
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     author = {B. E. Kanguzhin and A. A. Anijarov},
     title = {Well-Posed {Problems} for the {Laplace} {Operator} in a {Punctured} {Disk}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {856--867},
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     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_6_a5/}
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B. E. Kanguzhin; A. A. Anijarov. Well-Posed Problems for the Laplace Operator in a Punctured Disk. Matematičeskie zametki, Tome 89 (2011) no. 6, pp. 856-867. http://geodesic.mathdoc.fr/item/MZM_2011_89_6_a5/