L2-Estimates for Homogenization of Diffusion Operators with Unbounded Nonsymmetric Matrices
نویسندگان
چکیده
In the space ?d, d ? 2, we study diffusion equation ?div (?u? +b(x/?)?u?)+u? = f ?L2(?d), u?H1(?d), where b(y) is an unbounded 1-periodic skew symmetric matrix and ? a small parameter. The assumed to be integrable with respect period exponent s, s for 3 > 2 2. Assuming that solution not necessarily unique, find asymptotics so-called approximate resolvent remainder of order ?2 as ? 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/s10958-022-06207-x