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具有Neumann边界条件及临界Sobolev指数的半线性抛物方程整体解的渐近性及L^q-估计 被引量:3
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作者 王培林 谭忠 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2004年第1期17-20,共4页
研究一类具有Neumann边界条件及临界Sobolev指数的半线性抛物方程的整体解的渐近性及Lq 估计.这里Ω是RN(N≥3)中的有界光滑区域并且p=2 -1=N+2N-2.
关键词 NEUMANN边界条件 临界SOBOLEV指数 整体解 半线性抛物方程 渐近性 L^q-估计
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C_(p,q)^(s+α)-forms Solution of _b-equ ation and Its L_(p,q)~s Estimates
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作者 MA Zhong-tai (Department of Mathematics, China Coal Economic College, Yantai 264005, China) 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第3期234-241,共8页
In this paper, by using holomorphic support f unction of strictly pseudoconvex domain on Stein manifolds and the kernel define d by DEMAILY J P and Laurent Thiebaut, we construct two integral operators T q and S q whi... In this paper, by using holomorphic support f unction of strictly pseudoconvex domain on Stein manifolds and the kernel define d by DEMAILY J P and Laurent Thiebaut, we construct two integral operators T q and S q which are both belong to C s+α p,q-1 (D) and ob tain integral representation of the solution of (p,q)-form b-equation on the boundary of pseudoconvex domain in Stein manifolds and the L s p,q extimates for the solution. 展开更多
关键词 inhomogeneous tangential Cauchy-Riemann equations i ntegral representation of b-solving the kernel of Demaily mand Laurent Thiebaut Chern connection Stein manifold L s p q estim ates
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