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Regularity theory for elliptic and parabolic equations in nondivergence form

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Authors
이미경
Advisor
변순식
Major
자연과학대학 수리과학부
Issue Date
2016-02
Publisher
서울대학교 대학원
Keywords
Regularitynondivergence elliptic equationnondivergence parabolic equationstrong solutionBMO spaceweighted Lebesgue spaceOrlicz spacevariable exponent Lebesgue space
Description
학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2016. 2. 변순식.
Abstract
We investigate optimal regularity theory for nondivergence elliptic and parabolic equations with discontinuous coefficients in bounded domains.
Global Hessian estimates of the solutions to the Dirichlet problems for such equations are obtained under the small bounded mean oscillation (BMO) condition of the coefficients in the setting of various function spaces such as weighted Lebesgue spaces, variable exponent Lebesgue spaces, weighted Orlicz spaces and weighted variable exponent Lebesgue spaces.
Language
English
URI
https://hdl.handle.net/10371/121304
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Ph.D. / Sc.D._수리과학부)
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