Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619471 | Journal of Mathematical Analysis and Applications | 2010 | 8 Pages |
Abstract
In the present paper we will characterize the continuous distributional solutions of Burgers' equation as those which induce intrinsic regular graphs in the first Heisenberg group H1≡R3, endowed with a left-invariant metric d∞ equivalent to its Carnot–Carathéodory metric. We will also extend the characterization to higher Heisenberg groups Hn≡R2n+1.
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