多维拟线性退化抛物方程Cauchy问题解的唯一性和稳定性
다유의선성퇴화포물방정Cauchy문제해적유일성화은정성
UNIQUENESS AND STABILITY OF SOLUTION FOR CAUCHY PROBLEM OF DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN MULTI-SPACE VARIABLES
  • 万方数据
    数学年刊A辑 수학년간A집
    CHINESE ANNALS OF MATHEMATICS,SERIES A
    2005年 4期 527-536 ,共10页

    詹华税%赵俊宁

    첨화세%조준저

    Cauchy问题%退化抛物方程%唯一性%稳定性 Cauchy問題%退化拋物方程%唯一性%穩定性
    Cauchy문제%퇴화포물방정%유일성%은정성
    本文证明了拟线性退化抛物方程 (e)u/(e)t=n∑i=1 (e)/(e)xi(aij(u)(e)u/(e)xi)+n∑i=1 (e)bi(u)/(e)xi -c(u), u(x,0)=u0(x),aij(u)ξiξj≥0,(A)ξ∈Rn 的Cauchy问题BV解的唯一性和稳定性.
    본문증명료의선성퇴화포물방정 (e)u/(e)t=n∑i=1 (e)/(e)xi(aij(u)(e)u/(e)xi)+n∑i=1 (e)bi(u)/(e)xi -c(u), u(x,0)=u0(x),aij(u)ξiξj≥0,(A)ξ∈Rn 적Cauchy문제BV해적유일성화은정성.
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