Two scale defect measure and linear equations with oscillating coefficients | Zendy

J. Aleksić | Zendy; Stevan Pilipović | Zendy

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Two scale defect measure and linear equations with oscillating coefficients

Author(s) -

J. Aleksić,

Stevan Pilipović

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1909867a

Subject(s) - mathematics , torus , measure (data warehouse) , scalar (mathematics) , mathematical analysis , limit (mathematics) , scale (ratio) , operator (biology) , geometry , physics , biochemistry , chemistry , repressor , quantum mechanics , database , computer science , transcription factor , gene

Microlocal measure ? is associated to a two-scale convergent sequence un over Rd with the limit u ? L2(Rd x Td), Td is a torus, to analyze possible strong limit. ? is an operator valued measure absolutely continuous with respect to the product of scalar microlocal defect measure and a measure on the d-dimensional torus. The result is applied to the first order linear PDE with the oscillating coefficients.

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