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广义扇形算子的无界扰动

UNBOUND PERTURBATION FOR GENERALIZED SECTORIAL OPERATOR
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摘要 利用广义正则点的概念和它的有关理论与方法,引进了广义预解式和广义扇形算子的概念.广义扇形算子拓广了扇形算子的概念,利用已知的扇形算子的稳定扰动,推广出广义扇形算子在A-有界下的无界扰动. In this paper, we use the method of generalized regular point and its related theory and methods. The concept of the pre - generalized solutions and Generalized Sectorial operator are weU - defined. Generalized Sectorial operator extended the concept of Sectorial operator, we has known that Sectorial operator has the stability of perturbation, we explore the result that Generalized Sectorial operator has unbounded perturb under the A - bounded .
机构地区 哈尔滨师范大学
出处 《哈尔滨师范大学自然科学学报》 CAS 2009年第2期9-10,13,共3页 Natural Science Journal of Harbin Normal University
基金 国家自然科学基金资助项目(10671049)
关键词 广义扇形算子 无界扰动 广义正则点 广义局部精细点 Unbound perturbation Generalized Sectorial operator Generalized regular point General- ized local fine point
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参考文献5

  • 1Yuwen. Wang, Han. Zhang. Perturbation analysis for oblique projection generalized inverses of closed linear in Banach spaces. Linear Algebra and its Applications,2007,426 : 1 - 11.
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  • 5Dan Henry (ED.). Geometric Theory of Semilinear Parabolic Equation.

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