Alikakos, NicholasGazoulis, Dimitrios2022-01-072022-01-072018-02-20Alikakos, N. D., & Gazoulis, D. (2018). Almost entire solutions of the Burgers equation. <i>Electronic Journal of Differential Equations, 2018</i>(53), pp. 1-6.1072-6691https://hdl.handle.net/10877/15109We consider Burgers equation on the whole x-t plane. We require the solution to be classical everywhere, except possibly over a closed set S of potential singularities, which is (a) a subset of a countable union of ordered graphs of differentiable functions, (b) has one dimensional Hausdorff measure, H1(S), equal to zero. We establish that under these conditions the solution is identically equal to a constant.Text6 pages1 file (.pdf)enAttribution 4.0 InternationalBurgers equationEntropy solutionRigidityArticle