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Zapiski Nauchnykh Seminarov LOMI, 1991, Volume 188, Pages 159–177
(Mi znsl4875)
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This article is cited in 1 scientific paper (total in 1 paper)
On a non-stationary problem in a dihedral angle. I
E. V. Frolova
Abstract:
We investigate a boundary value problem for heat equation
in the dihedral angle $D_\theta\subset \mathbb{R}^n$ with Neumann condition on one
side of the angle and the boundary condition
$$
x\frac{\partial u}{\partial t}-\frac{\partial u}{\partial x_2}+h\frac{\partial u}{\partial x_1}+\sum_{j=1}^3b_j\frac{\partial u}{\partial x_j}\bigm|_{\Gamma_{OT}}=\varphi_0,
$$
(where $x>0$, $h\leqslant0$, $b_j$ are real constants) on another side.
Unique solvability in weighted Sobolev spaces is proved.
Citation:
E. V. Frolova, “On a non-stationary problem in a dihedral angle. I”, Boundary-value problems of mathematical physics and related problems of function theory. Part 22, Zap. Nauchn. Sem. LOMI, 188, Nauka, St. Petersburg, 1991, 159–177; J. Math. Sci., 70:3 (1994), 1828–1840
Linking options:
https://www.mathnet.ru/eng/znsl4875 https://www.mathnet.ru/eng/znsl/v188/p159
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Abstract page: | 111 | Full-text PDF : | 46 |
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