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Abstract
In the present paper we study how to combine a limited regional information with globally available noisy observations related to the quantity of interest through an ill-posed spherical pseudo-differential equation. We formulate such combination as a minimization problem involving two misfit terms and the penalty term in a reproducing kernel Hilbert space. Moreover, we illustrate the proposed scheme by a numerical example and discuss an aggregation of two approaches by a linear functional strategy for a better performance.
Keywords: Spherical Pseudo-Differential Equations; Aggregation; Local and Global Data; Spherical Harmonics; Regularization
Funding source: Austrian Science Fund (FWF)
Award Identifier / Grant number: project P25424
Received: 2015-7-7
Revised: 2015-12-10
Accepted: 2015-12-15
Published Online: 2015-12-22
Published in Print: 2016-4-1
© 2016 by De Gruyter
