具有兩個(gè)特征矩陣和變系數(shù)的Beltrami方程組.pdf

1、河北大學(xué)碩士學(xué)位論文具有兩個(gè)特征矩陣和變系數(shù)的Beltrami方程組姓名：岳英強(qiáng)申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：高紅亞20100501J ? ? d k d , # d ; x ?AbstractBeltrami system in high dimensional spaces plays an important role in moderngeometric function theory, which has appl

2、ications in physics and mechanics. This paperdeals with the Beltrami system with two characteristic matrices and variable coefficientsDtf(x)H(x)Df(x) = J(x, f)2/nG(x),where the matrices H(x), G(x) ∈ S(n) satisfy some con

3、ditions. A homogeneous ellipticequation of divergence typeDivA(x, Df(x)) = 0is derived from the Beltrami system by using the energy and variational methods. Aregularity property is obtained by using the Div-Curl fields.