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Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces
- Kim, Doyoon;
- Kim, Kyeong-Hun;
- Woo, Kwan
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1초록
We present weighted Sobolev spaces (h) over tilde (gamma)(p, theta) (S, T) and prove a trace theorem for the spaces. As an application, we discuss non-zero boundary value problems for parabolic equations. The weighted parabolic Sobolev spaces we consider are designed, in particular, for the regularity theory of stochastic partial differential equations on bounded domains.
키워드
Weighted Sobolev spaces; Traces; Parabolic equations; Non-zero boundary value conditions; L-P-THEORY; PARTIAL-DIFFERENTIAL-EQUATIONS; ELLIPTIC-EQUATIONS; BMO COEFFICIENTS; SPDES; PDES
- 제목
- Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces
- 저자
- Kim, Doyoon; Kim, Kyeong-Hun; Woo, Kwan
- 발행일
- 2024-03
- 유형
- Article; Early Access
- 권
- 12
- 호
- 1
- 페이지
- 134 ~ 172