A diffusion problem involving two free boundaries |
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| Authors: | Xiangsheng Xu |
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| Institution: | 1. Department of Mathematical Sciences, The University of Arkansas, 72701, Fayetteville, AR, USA
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| Abstract: | Existence of a weak solution is established for the first boundary value problem for the equation (c(u))
t
=(φ(u
x
)
x
in the case wherec′(x), φ′(x) may oscillate near zero,c′(x), φ′(x) may be unbounded above, andc′(x), φ′(x) may not be bounded away from zero asx→0. Some regularity properties of the wea, solution are also obtained. |
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| Keywords: | |
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