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Elliptic and parabolic equations with measurable nonlinearities in nonsmooth domains
매끄럽지 않은 영역에서 정의되고 측정가능한 비선형 계수 함수를 가지는 타원형 및 포물형 편미분 방정식

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Authors
김유찬
Advisor
변순식
Major
자연과학대학 수리과학부
Issue Date
2015-08
Publisher
서울대학교 대학원
Keywords
Calderon-Zygmund estimatenonlinear elliptic equation
Description
학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2015. 8. 변순식.
Abstract
We study elliptic and parabolic equations with measurable nonlinearities in nonsmooth domains. We establish an optimal global $W^{1,p}$ estimate under the condition that the associated nonlinearity is allowed to be merely measurable in one variable but has a sufficiently small BMO semi-norm in the other variables, while the underlying domain is sufficiently flat in the Reifenberg sense that the boundary of the domain is locally trapped between two narrow strips.
Language
English
URI
https://hdl.handle.net/10371/121296
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Ph.D. / Sc.D._수리과학부)
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