Abstract
We deal with a generalization of the Stokes system. Instead of the Laplace operator, we consider a general elliptic operator and a pressure gradient with small perturbations. We investigate the existence and uniqueness of a solution as well its regularity properties. Two types of regularity are provided. Aside from the classical Hilbert regularity, we also prove the Hölder regularity for coefficients in VMO space.
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Mácha, V. On a generalized Stokes problem. centr.eur.j.math. 9, 874–887 (2011). https://doi.org/10.2478/s11533-011-0047-6
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DOI: https://doi.org/10.2478/s11533-011-0047-6