LAUSR

Classical solutions of oblique derivative problem in nonsmooth domains with mean Dini coefficients

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0 Published in 2020 at "Transactions of the American Mathematical Society"

DOI: 10.1090/tran/8042

Abstract: We consider second-order elliptic equations in nondivergence form with oblique derivative boundary conditions. We show that any strong solutions to such problems are twice continuously differentiable up to the boundary when the boundary can be… read more here.

Keywords: problem nonsmooth; solutions oblique; nonsmooth domains; oblique derivative ... See more keywords

Oblique Derivative Problem for the Helmholtz Equation in a Disk

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1 Published in 2018 at "Differential Equations"

DOI: 10.1134/s0012266118040067

Abstract: We show that the oblique derivative problem for the Helmholtz equation in a disk is uniquely solvable under certain restrictions on the parameter. read more here.

Keywords: helmholtz equation; oblique derivative; equation disk; derivative problem ... See more keywords

Basis Property of the System of Root Functions of the Oblique Derivative Problem for the Laplace Operator in a Disk

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1 Published in 2019 at "Differential Equations"

DOI: 10.1134/s0012266119100100

Abstract: We study the spectral oblique derivative problem for the Laplace operator in a disk D. The asymptotic properties of the eigenvalues are established, and the basis property with parentheses in the space L2(D) is proved… read more here.

Keywords: operator disk; laplace operator; oblique derivative; problem laplace ... See more keywords