From Strong to Very Weak Solutions to the Stokes System with Navier Boundary Conditions in the Half-Space
نویسندگان
چکیده
We consider the Stokes problem with slip type boundary conditions in the half-space R+, with n > 2. The weighted Sobolev spaces yield the functional framework. We study generalized and strong solutions and then the case with very low regularity of data on the boundary. We apply the method of decomposition introduced in our previous work (see [7]), where it is necessary to solve particular problems for harmonic and biharmonic operators with very weak data. We also envisage a wide class of behaviour at in nity for data and solutions.
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 41 شماره
صفحات -
تاریخ انتشار 2009