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高阶退缩椭圆型方程的非局部边值问题
引用本文:王传芳.高阶退缩椭圆型方程的非局部边值问题[J].浙江大学学报(理学版),1988,15(2):130-134.
作者姓名:王传芳
摘    要:本文讨论高阶退缩椭圆型方程的非局部边值问题.这类问题在物理和化学中常会遇到利用Lax-Milgram定理,我们得到问题有解的充要条件.

关 键 词:非局部边值问题  带权Sobolev空间  广义解

Nonlocal Boundary Value Problems for Degenerate Elliptic Equations of Higher Order
Wang Chuanfang.Nonlocal Boundary Value Problems for Degenerate Elliptic Equations of Higher Order[J].Journal of Zhejiang University(Sciences Edition),1988,15(2):130-134.
Authors:Wang Chuanfang
Institution:Wang Chuanfang
Abstract:In this paper, we discuss the noniocal boundary value problems for degenerate elliptic equatians of higher order, which often appear in physics and chemistry. By applying Lax-Milgram theorem, a necessary and sufficient condition for the problem to have a solution is obtained.
Keywords:nonlocal boundary value problem  weighted Sobolev space  generalized solution
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