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arxiv: 1611.06166 · v2 · pith:2FUFRGZN · submitted 2016-11-18 · math.AP

On Almost Entire Solutions Of The Burgers Equation

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classification math.AP
keywords burgersequationsolutionsadditionalalmostclassicallyclosedconstant
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Solutions that satisfy classically the Burgers equation except, perhaps, on a closed set S of the plane of potential singularities whose Hausdorff 1-measure is zero, $H^1(S) = 0$, are necessarily identically constant. We show this under the additional hypothesis that $S$ is a subset of a countable union of ordered graphs.

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