Article ID Journal Published Year Pages File Type
4619471 Journal of Mathematical Analysis and Applications 2010 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis