Patterns of exponential decay for solutions to second order elliptic equations in a sector ofR 2期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Patterns of exponential decay for solutions to second order elliptic equations in a sector ofR 2

Authors:	Richard Froese Ira Herbst

Institution:	(1) Department of Mathematics, University of British Columbia, V6T 1W5 Vancouver, B. C., Canada;(2) Department of Mathematics, University of Virginia, 22903 Charlottesville, VA, USA

Abstract:	We consider solutions ψ to equations of the form $\sum\limits_{i,j} {a_{ij} (x)\partial _i \partial _j \psi (x) + \sum\limits_i {b_i (x)\partial _i \psi (x) + c(x)\psi (x) = g(x)} }$ in a sector Ω ofR ². The basic assumptions are that the limitsa _ij(x)→δ_ij,b _i(x)→0,c _i→E at infinity are achieved at certain rates and thatg decays faster than ψ. We then discuss the possible patterns of exponential decay for ψ in Ω. NSERC University Research Fellow. Research partially supported by USNEF grant MCS-83-01159.

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