Fundamental structures and asymptotic microlocalization in sheaves of generalized functions

DOI10.1080/10652469808819167zbMath0902.18005OpenAlexW1966287976MaRDI QIDQ3841125

Jean-André Marti

Publication date: 16 August 1998

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469808819167

zbMATH Keywords

distributionlocalizationgeneralized functionsmicrolocal analysismicrolocalizationsheaf of differential algebras

Mathematics Subject Classification ID

Distributions, generalized functions, distribution spaces (46F99) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Presheaves and sheaves in general topology (54B40)

Related Items (8)

𝒢^L-microlocal analysis of generalized functions ⋮ Study of nonlinear stochastic Cauchy problems in $(\mathcal{C},\mathcal{E},\mathcal{P})$-algebras ⋮ Generalized solution to a non Lipschitz integral equation ⋮ Some nonlinear stochastic Cauchy problems with generalized stochastic processes ⋮ Generalized integral operators and Schwartz kernel type theorems ⋮ Examples of shocks in population dynamics ⋮ Microlocal analysis of Colombeau's generalized functions: Propagation of singularities ⋮ Generalized Solutions to a Non Lipschitz-Cauchy Problem

Cites Work

• Paley-Wiener type theorems for Colombeau's generalized functions
• Generalized solutions to the kuramoto—sivashinsky equation
• A nonlinear goursat problem with irregular data
• A contribution to the theory of generalized functions
• Generalized Solutions to the Korteweg–de Vries and the Regularized Long-Wave Equations

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