On a generalized Stokes problem |
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Authors: | Václav Mácha |
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Affiliation: | 1.Faculty of Mathematics and Physics,Charles University Prague,Prague,Czech Republic |
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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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