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| We will discuss the equivalence about different notions of continuous weak solutions to the equation $\partial_{t}{u}+ \partial_{x}{}[u^{2}/2]=g$, where $g$ is a bounded measurable function. Moreover we will point out some relationships between this problem and
the intrinsic regular graphs in the framework of the simplest sub- Riemannian structure, namely the Heisenberg group . |
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