Generalised elliptic boundary problems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:239

Article

Krupchyk, K. ; Tarkhanov, N. ; Tuomela, J.

关键词: elliptic operators;    homotopy invariance;    fredholm property;   

DOI  :  10.1016/j.jde.2007.05.021

来源: Elsevier

【 摘 要 】

For elliptic systems of differential equations on a manifold with boundary, we prove the Fredholm property of a class of boundary problems which do not satisfy the Shapiro-Lopatinskii property. We name these boundary problems generalised elliptic, for they preserve the main properties of elliptic boundary problems. Moreover, they reduce to systems of pseudodifferential operators on the boundary which are generalised elliptic in the sense of Saks [R.S. Saks, On properties of generalised elliptic pseudodifferential operators on closed manifolds, Zap. Nauchn. Sem. LOMI 243 (1997) 215-269]. (c) 2007 Elsevier Inc. All rights reserved.

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