一类具有对数系数的对称微分算子谱的离散性
일류구유대수계수적대칭미분산자보적리산성
The Discreteness of Spectrum of a Class of Symmetric Differential Operators with Coefficients of Logarithmic Function
  • 万方数据
    内蒙古师范大学学报（自然科学汉文版） 내몽고사범대학학보（자연과학한문판）
    JOURNAL OF INNER MONGOLIA NORMAL UNIVERSITY(NATURAL SCIENCE EDITION)
    2014年 3期 270-274 ,共5页

    邱洁%王万义%彭艳伟

    구길%왕만의%팽염위

    微分算子%离散谱%本质谱%对数函数 微分算子%離散譜%本質譜%對數函數
    미분산자%리산보%본질보%대수함수
    differential operator%discrete spectrum%essential spectrum%logarithmic function
    利用直和分解和二次型比较的方法，研究了一类具有对数系数的对称微分算子谱的离散性，得到这类微分算子的谱是离散的一个充分条件。
    이용직화분해화이차형비교적방법，연구료일류구유대수계수적대칭미분산자보적리산성，득도저류미분산자적보시리산적일개충분조건。
    In this paper,the discreteness of differential operators with coefficients which contain loga-rithmic function and real valued coefficients are considered.A sufficient condition is given which ensure that the spectrum of differential operators is discrete by using the method of direct sum decomposition and estimation of the corresponding quadratic forms.
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