The Projectionally Approximation-solvability and the Estimations of the Converge

Chen Zhongying

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The Projectionally Approximation-solvability and the Estimations of the Converge

更新时间：2023-12-08

- The Projectionally Approximation-solvability and the Estimations of the Converge
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 24, Issue 1, Pages: 116-126(1985)
- 作者机构：
  
  中山大学计算机科学系
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：1985，
  
  Published Online：25 January 1985，
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Chen Zhongying. The Projectionally Approximation-solvability and the Estimations of the Converge. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 24(1):116-126(1985)
DOI：

Chen Zhongying. The Projectionally Approximation-solvability and the Estimations of the Converge. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 24(1):116-126(1985) DOI：

摘要

本文在Banach 空间中讨论了一类形为-(du)/(dt)=A(t)u+B(t)u的发展型算子方程的投影法近似可解性

并在Hilbert 空间中给出敛速估计.其中

{A(t);tεR~+}和{B(t);tεR~+}为两族稠定非线性算子

A(t)是强增生的

B(t)是下半有界的.

Abstract

We discuss the projectional approximatlon-solvability for a class of nonlinearevolution equations in Banach spaces given by-（du）/（dt）=A（t）u+B（t）u

u（0）=u

where {A（t）;t（?）R

}and{B（t）;t（?）R

}are two families of densely defined nonlinearoperators.Operators A（t）are strongly accretive and operators B（t）are lower-semibounded.The error estimations are given in Hilbert spaces.

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