- 期刊
UNIQUENESS AND STABILITY OF SOLUTIONS FOR A TYPE OF PARABOLIC BOUNDARY VALUE PROBLEM
摘要
We consider a boundary value problem consisting of the one-dimensional parabolic equation gu_t = (hu_x)_x + q, where g, h and q are functions of x, subject to some general boundary conditions. By developing a maximum principle for the boundary value problem, rather than the equation, we prove the uniqueness of a nonnegative solution that depends continuously on boundary values.
延伸閱讀
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