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A peculiar two point boundary value problem
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A peculiar two point boundary value problem
classification
math.PR
keywords
boundaryequationproblemvalueanalysisboundednesscauchyconditions
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In this paper we consider a one-dimensional diffusion equation on the interval $[0,1]$ satisfying non-Feller boundary conditions. As a consequence, the initial value Cauchy problem fails to preserve nonnegativity or boundedness. Nonetheless, probability theory plays an interesting role in our analysis and understanding of solutions to this equation.
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