Geodesic
The Explicit Solution of the -Neumann Problem in a Non-Isotropic Siegel Domain
Canadian journal of mathematics, Tome 49 (1997) no. 6, pp. 1299-1322

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we solve the -Neumann problem on (0, q) forms, 0 ≤ q ≤ n, in the strictly pseudoconvex non-isotropic Siegel domain: where aj > 0 for j = 1,2, . . . , n. The metric we use is invariant under the action of the Heisenberg group on the domain. The fundamental solution of the related differential equation is derived via the Laguerre calculus. We obtain an explicit formula for the kernel of the Neumann operator. We also construct the solution of the corresponding heat equation and the fundamental solution of the Laplacian operator on the Heisenberg group.
DOI : 10.4153/CJM-1997-064-4
Mots-clés : 32F15, 32F20, 35N15 
Tie, Jingzhi. The Explicit Solution of the -Neumann Problem in a Non-Isotropic Siegel Domain. Canadian journal of mathematics, Tome 49 (1997) no. 6, pp. 1299-1322. doi: 10.4153/CJM-1997-064-4
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