The Colombeau generalized nonlinear analysis and the Schwartz linear distribution theory

DOI10.1007/BF02365214zbMath0951.46018MaRDI QIDQ1289233

Vyacheslav V. Chistyakov

Publication date: 27 May 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

Colombeau algebrageneralized functionsDirac generalized functionsHeaviside generalized functionsnonlinear operations of polynomial growth

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

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[https://portal.mardi4nfdi.de/wiki/Publication:3366708 Balanced colombeau products of the distributions x � -p and x -p] ⋮ Solution-giving formula to Cauchy problem for multidimensional parabolic equation with variable coefficients ⋮ Locally convex topological algebras of generalized functions: Compactness and nuclearity in a nonlinear context

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