Quasilinearization method for nonlinear elliptic boundary-value problems

被引：7

作者：

Buica, A ^{[1
]}

机构：

[1] Babes Bolyai Univ, Cluj Napoca, Romania

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2005年 / 124卷 / 02期

关键词：

elliptic boundary-value problem; nonlinear boundary-value problems; strong solutions; lower and upper solutions; approximations; quasilinearization;

D O I：

10.1007/s10957-004-0928-y

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The quasilinearization method is developed for strong solutions of semilinear and nonlinear elliptic boundary-value problems. We obtain two monotone, L-p-convergent sequences of approximate solutions. The order of convergence is two. The tools are some results on the abstract quasilinearization method and from weakly-near operators theory.

引用

页码：323 / 338

页数：16

共 16 条

[1]

Adams A, 2003, SOBOLEV SPACES

[2]

[Anonymous], 1998, TOPOL METHOD NONL AN, DOI DOI 10.12775/TMNA.1998.007

[3] Nearness, accretivity, and the solvability of nonlinear equations [J].