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  • Pointwise bounds for solutions of the equation ▫$-\Delta v + pv = 0$▫
    Hinz, Andreas M., 1954-
    The principal results are: (1) pointwise upper bounds of the form ▫$|v(x)| \le c|x|^{-(n-1)/2}\exp(-\alpha(|x|))$▫ for solutions ▫$v$▫ of the equation ▫$\Delta v = pv$▫ in an exterior domain in ... ▫${\bf R}^n$▫, where the function ▫$\alpha$▫ is related to asymptotic properties of ▫$p$▫, (2) pointwise lower bounds of the same form for positive solutions of ▫$\Delta v = pv$▫. The proof uses a generalization of Hopf's maximum principle. Various examples are given to illustrate the strength of these bounds.
    Source: Journal für die Reine und Angewandte Mathematik. - ISSN 0075-4102 (Band 370, 1986, str. 83-100)
    Type of material - article, component part ; adult, serious
    Publish date - 1986
    Language - english
    COBISS.SI-ID - 16859993

    Link(s):

    http://gdz.sub.uni-goettingen.de/dms/resolveppn/?PPN=GDZPPN002203863

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