Intrinsic microlocal characterization of Colombeau’s generalized functions

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Colombeau generalized ultradistributions

S Pilipović, D Scarpalézos - Mathematical Proceedings of the …, 2001 - cambridge.org
An algebra of Colombeau generalized ultradistributions in which the corresponding space of
ultradistributions is embedded via regularizations and in which the multiplication of …
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[PDF][PDF] Generalized function algebras and PDEs with singularities. A survey

M Nedeljkov, S Pilipovic - Zb. Rad.(Beogr.), 2006 - elib.mi.sanu.ac.rs
The aim of this survey article is to explain basic ideas of generalized function algebras (Part
I), to illustrate the analysis of second order PDEs (Part II) and first order hyperbolic systems …
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Local and Microlocal Analysis in the Space of Colombeau Generalized Functions

S PilipoviĆ - Nonlinear Theory of Generalized Functions, 2022 - taylorfrancis.com
Local and microlocal properties of distributions, ultradistributions and hyperfunctions have
been extensively studied in the last three decades. The applications were made in the …
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Quasiasymptotics at zero and nonlinear problems in a framework of Colombeau generalized functions

S Pilipović, M Stojanović - … of Divergence: Control and Management of …, 1999 - Springer
We give a survey of basic properties of the G-quasiasymptotics and its applications to
nonlinear problems in a framework of Colombeau algebra of generalized functions. We …
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Linear equations with singular coefficients and nonlinear equations with non-Lipschitz nonlinearities

S Pilipovic - Integral Transforms and Special Functions, 1998 - Taylor & Francis
Linear equations with singular coefficients and nonlinear equations with non-lipschitz
nonlinearities Page 1 Integral Transforms and Special Functions, 01998 OPA (Overseas …
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