1) parabolic degeneracy
抛物退化线
1.
Complex equations of mixed (elliptic-hyperbolic) type with parabolic degeneracy;
带抛物退化线的混合(椭圆-双曲)型方程(英文)
2.
The Tricomi problem of second order equations of mixed type in a special domain was posed and discussed by previous authors,The present paper deals with the discontinuous Riemann-Hilbert problem for first order complex equations of mixed(elliptic-hyperbolic) type with parabolic degeneracy.
本文讨论带抛物退化线的一阶混合型(椭圆 双曲)型复方程的间断Riemann Hilbert边值问题。
3.
The paper deals with the discontinuous oblique derivative problems for second order linear equations of mixed (elliptic-hyperbolic) type with parabolic degeneracy,which include the discontinuous Tricomi problem for Chaplygin equation as a special case.
讨论了带抛物退化线的二阶混合型(椭圆-双曲型)方程的间断斜微商边值问题。
2) degenerate parabola
退化抛物线
3) degenerate parabolic
退化抛物
1.
The properties of the solution to some degenerate parabolic equation with shift element are considered in this paper.
对一类具有扰动项的退化抛物方程,考虑其解的性质。
5) nonlinear degenerate parabolic equation
退化非线性抛物型方程
1.
Lions has proved the existence and uniqueness of global solutions to the initial-boundary value problem for a class of nonlinear degenerate parabolic equation by mean of compactness principle,but the decay property is considered by few people.
L ions用紧致性方法证明了一类退化非线性抛物型方程初边值问题整体解的存在唯一性,但解的衰减性很少有人考虑。
6) semilinear degenerate parabolic system
半线形退化抛物方程组
补充资料:退化抛物型方程
退化抛物型方程
degenerate parabolic equation
退化抛物型方程【血留搜犯加声口加血闰皿垃翔;肠甲0岌-几e二oe naPa6o朋,ee切e yPa朋e一翻e】 偏微分方程 F(r,x,Du)=0,其中函数F(t,x,q)有下述性质:对于某个偶自然数P,对于所有实的亡,多项式 艺主生上丛卫业月一(i:、二 刁q:的所有的根又有非正实部,并且,对于某个着护O,t,x和Du,对于某个根又有Re又=0,或者对于某个t,x和加,最高次护/P的系数为零.这里t是自变量,它通常被解释为时间;x是n维向量(x,,…,x,):u(t,x)是未知函数;“是多重指标(“。,::,“‘,仪。);加是分量为 日l,I,, 刀区材=一:,二二气二-二,--一二尸- 一日r“,日x户‘…刁x矛·的向t,其中p“。+,各“‘(“,J“I一“。+“1+…+“。;q是分量为q二的向量;亡是n维向量(亡:,…,氛);(i幼“’=(i七1):’…(i七。)’‘.亦见退化偏微分方程(山generate part运1由晚砚t训闪业山n)及其参考文献.
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