一类高阶双曲方程非平凡上解的不存在性
일류고계쌍곡방정비평범상해적불존재성
Nonexistence of Nontrivial Supersolution of Higher-order Evolution Equation
  • 万方数据
    应用数学 응용수학
    MATHEMATICA APPLICATA
    2010年 1期 145-149 ,共5页

    王永忠%郭千桥

    왕영충%곽천교

    上解%高阶双曲方程%检验函数 上解%高階雙麯方程%檢驗函數
    상해%고계쌍곡방정%검험함수
    Supersolution%Higher-order evolution equation%Test function
    本文讨论与Caffarelli-Kohn-Nirenberg不等式相关的一类高阶双曲方程.在适当条件下,构造合适的检验函数并予以估计从而证明这类方程非平凡上解的不存在性.
    본문토론여Caffarelli-Kohn-Nirenberg불등식상관적일류고계쌍곡방정.재괄당조건하,구조합괄적검험함수병여이고계종이증명저류방정비평범상해적불존재성.
    In this paper we consider the nonlinear higher-order evolution equation related to Caffarelli-Kohn-Nirenberg inequality. Under some proper conditions we prove the nonexistence of nontrivial supersolution of this equation by constructing appropriate test function and establishing their estimates.
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