PARABOLIC SYSTEMS WITH MEASURABLE COEFFICIENTS IN WEIGHTED SOBOLEV SPACES

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2

초록

We present a weighted L-p-theory of parabolic systems on a half space R-d(+). The leading coefficients are assumed to be only measurable in time t and have small bounded mean oscillations (BMO) with respect to the spatial variables x, and the lower order coefficients are allowed to blow up near the boundary.

키워드

sharp/maximal functionsparabolic systemsweighted Sobolev spacesmeasurable coefficientsL-P-THEORYELLIPTIC-EQUATIONSDIRICHLET PROBLEMBMO COEFFICIENTSSPDESPDESVMO
제목
PARABOLIC SYSTEMS WITH MEASURABLE COEFFICIENTS IN WEIGHTED SOBOLEV SPACES
저자
Kim, DoyoonKim, Kyeong-HunLee, Kijung
DOI
10.3934/cpaa.2022062
발행일
2022-08
유형
Article
저널명
Communications on Pure and Applied Analysis
21
8
페이지
2587 ~ 2613