An existence theorem for parabolic equations on R N with discontinuous nonlinearity

An existence theorem for parabolic equations on R N with discontinuous nonlinearity
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具有不连续非线性的R N 上抛物型方程组的存在性定理

DOI:
10.14232/ejqtde.2001.1.8
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发表时间:
2001
影响因子:
1.1
通讯作者:
P. Simon
P. Simon
中科院分区:
数学3区
文献类型:
--
作者:
J. Hofbauer;P. Simon

文献摘要

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证明了R N上@tu = u + f(u)抛物型初值问题解的存在性,其中f: R!R是一个有界的,但可能不连续的函数。AMS分类:35K57
We prove existence of solutions for parabolic initial value problems @tu = u + f(u) on R N , where f : R! R is a bounded, but possibly discontinuous function. AMS Classication: 35K57