PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS IN Lp-SPACES WITH MIXED NORMS
نویسنده
چکیده
The unique solvability of parabolic equations in Sobolev spaces with mixed norms is presented. The second order coefficients (except a) are assumed to be only measurable in time and one spatial variable, and VMO in the other spatial variables. The coefficient a is measurable in one spatial variable and VMO in the other variables.
منابع مشابه
Parabolic Equations with Vmo Coefficients in Spaces with Mixed Norms
An Lq(Lp)-theory of divergence and non-divergence form parabolic equations is presented. The main coefficients are supposed to belong to the class V MOx, which, in particular, contains all measurable functions depending only on t. The method of proving simplifies the methods previously used in the case p = q.
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