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Abstract It is shown how chains of algebras of generalised functions may be used to construct algebras of generalised functions that are able to deal with larger classes of singularities… Click to show full abstract
Abstract It is shown how chains of algebras of generalised functions may be used to construct algebras of generalised functions that are able to deal with larger classes of singularities than each of the constituent algebras in the chain. The general method is applied to a chain of almost everywhere algebras, yielding an algebra that can handle certain densely singular functions. The embedding of the distributions into the mentioned algebra, as well as the existence of solutions of nonlinear PDEs, is considered.
Keywords:
dense singularities;
differential algebras;
algebras generalised;
functions dense;
generalised functions
Journal Title: Quaestiones Mathematicae
Year Published: 2017
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Journal Title: Quaestiones Mathematicae
Year Published: 2017
Link to full text (if available)
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recommendations!