Parabolic Equations with Partially Vmo Coefficients and Boundary Value Problems in Sobolev Spaces with Mixed Norms
نویسنده
چکیده
Second order parabolic equations in Sobolev spaces with mixed norms are studied. The leading coefficients (except a) are measurable in both time and one spatial variable, and VMO in the other spatial variables. The coefficient a is measurable in time and VMO in the spatial variables. The unique solvability of equations in the whole space is applied to solving Dirichlet and oblique derivative problems for parabolic equations defined in a half-space.
منابع مشابه
PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS IN Lp-SPACES WITH MIXED NORMS
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