Approximations of Resolvents of Second Order Elliptic Operators with Periodic Coefficients

نویسندگان

چکیده

We consider second order elliptic operator with ε-periodic measurable coefficients in divergence form, acting the space ℝd. For resolvent of this we construct approximations norm $$ {\left\Vert \cdot \right\Vert}_{H^1\to {L}^2} remainder ε3 as ε → 0.

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ژورنال

عنوان ژورنال: Journal of Mathematical Sciences

سال: 2022

ISSN: ['1072-3374', '1573-8795']

DOI: https://doi.org/10.1007/s10958-022-06141-y