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- W1978324287 abstract "Within the article at hand, we investigate the Poisson equation solved by an integral operator, originating from an ansatz by Greens functions. This connection between mass distributions and the gravitational force is essential to investigate, especially inside the Earth, where structures and phenomena are not sufficiently known and plumbable. Since the operator stated above does not solve the equation for all square-integrable functions, the solution space will be decomposed by a multiscale analysis in terms of scaling functions. Classical Euclidean wavelet theory appears not to be the appropriate choice. Ansatz functions are chosen to be reflecting the rotational invariance of the ball. In these terms, the operator itself is finally decomposed and replaced by versions more manageable, revealing structural information about itself. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
- W1978324287 created "2016-06-24" @default.
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- W1978324287 date "2005-12-01" @default.
- W1978324287 modified "2023-09-27" @default.
- W1978324287 title "Methods of Resolution for the Poisson Equation on the 3D Ball" @default.
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- W1978324287 doi "https://doi.org/10.1002/pamm.200510319" @default.
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