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  • Cosmology  (1)
  • Dirichlet problem  (1)
  • bic Book Industry Communication::P Mathematics & science  (1)
  • mulch  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Potential analysis 13 (2000), S. 127-145 
    ISSN: 1572-929X
    Keywords: Continuous Steiner symmetrization ; Dirichlet problem ; eigenvalues
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we prove the existence of a deformation transforming an arbitrary open set into the ball, which has the following properties: it keeps constant the measure, the kth eigenvalue of Laplace–Dirichlet operator is continuous from the left and the first eigenvalue is decreasing. The deformation is given by a sequence of continuous Steiner symmetrizations, and the behavior of the eigenvalues is related to the stability of the Dirichlet problem.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1573-5036
    Keywords: alley-cropping ; humid tropics ; microclimate ; mulch ; soil fauna ; Ultisol
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Effects of soil macrofauna, micro-environment and mulch quantity were investigated on an acid Ultisol in a high-rainfall area in S.E. Nigeria, using litterbags or littertubes with leaves from the trees of an alley cropping system with t Flemingia congesta or t Dactyladenia barteri as hedgerow species.There was no effect of mulch quantity on the rate of decomposition. Soil macrofauna contributed to between 30 and 40% of mulch decomposition over the period of approximately 50% of disappearance of the original material. The faunal effect became apparent after a longer incubation period (〉20 weeks) with the slower decomposing t Dactyladenia than with the t Flemingia mulch (immediate effect). This is presumably related to t Dactyladenia's higher lignin content (40% compared to 22% for t Flemingia). The t Flemingia mulch decomposed faster in alley cropping with t Dactyladenia hedgerow than with t Flemingia hedgerow, irrespective of faunal access, suggesting a microclimate efffect on decomposition. There were no marked changes in chemical composition of the mulches with decomposition period, except for a rapid decrease of K content in both mulches and a rapid increase in lignin content of the t Flemingia mulch within the first 10 days of decomposition, which indicates that early decomposition affected the relatively easily degradable compounds.
    Type of Medium: Electronic Resource
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  • 3
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    Unknown
    De Gruyter
    Publication Date: 2023-12-20
    Description: „Shape optimization and spectral theory” is a survey book aiming to give an overview of recent results in spectral geometry and its links with shape optimization. It covers most of the issues which are important for people working in PDE and differential geometry interested in sharp inequalities and qualitative behaviour for eigenvalues of the Laplacian with different kind of boundary conditions (Dirichlet, Robin and Steklov). This includes: existence of optimal shapes, their regularity, the case of special domains like triangles, isospectrality, quantitative form of the isoperimetric inequalities, optimal partitions, universal inequalities and numerical results. Much progress has been made in these extremum problems during the last ten years and this edited volume presents a valuable update to a wide community interested in these topics.
    Keywords: QA1-939 ; bic Book Industry Communication::P Mathematics & science
    Language: English
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  • 4
    Publication Date: 2018-11-27
    Description: Author(s): S. Vanneste, S. Henrot-Versillé, T. Louis, and M. Tristram The quadratic maximum likelihood estimator can be used to reconstruct the cosmic microwave background (CMB) power spectra with minimal error bars. Still, it requires an accurate estimate of the data set’s noise covariance matrix in order to be corrected for spurious bias. We describe an extension of... [Phys. Rev. D 98, 103526] Published Mon Nov 26, 2018
    Keywords: Cosmology
    Print ISSN: 0556-2821
    Electronic ISSN: 1089-4918
    Topics: Physics
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