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Some notes to certain modification of the Oseen problem. (English) Zbl 1041.35001
The authors deal with the problem $$Au+2\lambda ({\partial u}/ {\partial x_1}) +\nabla p=f$$ in $$\Omega$$, $$\nabla \cdot u=0$$ in $$\Omega$$, $$u=u_*$$ at $$\partial \Omega$$, where $$A$$ is an elliptic operator with constant coefficients, and $$\Omega$$ is an unbounded domain in $$\mathbb{R}^N$$ ($$N=2,3$$). The asymptotic properties of the fundamental solution to the problem are studied.
##### MSC:
 35A08 Fundamental solutions to PDEs 42B15 Multipliers for harmonic analysis in several variables 35B40 Asymptotic behavior of solutions to PDEs
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##### References:
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