Results 81 to 89 of about 602 (89)
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New versions of the Colombeau algebras
Mathematische Nachrichten, 2005AbstractWe construct some versions of the Colombeau theory. In particular, we construct the Colombeau algebra generated by harmonic (or polyharmonic) regularizations of distributions connected with a half‐space and by analytic regularizations of distributions connected with an octant.
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Notes on regularity results in Colombeau algebras
Integral Transforms and Special Functions, 2006This article introduces and discusses various notions of regularity of solutions to partial differential equations in Colombeau algebras. The aim is to suggest a number of approaches that allow to extend the regularity theory to nonlinear equations.
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Nonlinear Parabolic Equations with Regularized Derivatives in Colombeau Algebra
Acta Applicandae Mathematicae, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Results on Balanced Products of Distributions in Colombeau Algebra
Zeitschrift für Analysis und ihre Anwendungen, 2002Various products of distributions with coinciding point singularities are derived when the products are ’balanced’ so that their sum is a generalized function which is associated to a distribution. These products follow the idea of a known result on distributional products published by Jan Mikusinski in 1966.
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Ekeland's Variational Principle in Colombeau's Algebras
F R Felix, Juriaans, Stanleyopenaire +1 more source