On a Class of Quasi Linear Equations in Infinite-dimensional Spaces

On a Class of Quasi Linear Equations in Infinite-dimensional Spaces
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关于无限维空间中的一类拟线性方程

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发表时间:
2002
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通讯作者:
M. Fuhrman
M. Fuhrman
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文献类型:
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作者:
M. Fuhrman

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In this paper we consider the following differential problem: $$ left{ {egin{array}{*{20}{c}} {frac{partial }{{partial t}}vleft( {t,x} ight) = Lvleft( {t + x} ight) + f(x,v(t,x), abla v(t,x)),} \ {v(0,x) = phi (x)t geqslant 0,x in H.} \ end{array} } ight. $$ (1.1)
In this paper we consider the following differential problem: $$ left{ {egin{array}{*{20}{c}} {frac{partial }{{partial t}}vleft( {t,x} ight) = Lvleft( {t + x} ight) + f(x,v(t,x), abla v(t,x)),} \ {v(0,x) = phi (x)t geqslant 0,x in H.} \ end{array} } ight. $$ (1.1)