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Generalized solutions of a nonlinear parabolic equation with generalized functions as initial data

J. Aragona, Antônio Ronaldo Gomes Garcia, S. O. Juriaans

Nonlinear Analysis · 2009 · 18 citations · 17 references

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References

17

Nonlinear Parabolic Equations Involving Measures as Initial Conditions

Haïm Brézis, Avner Friedman · Defense Technical Information Center (DTIC) · 1981 · 268 citations

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The use of generalized functions and distributions in general relativity

Roland Steinbauer, James Vickers · Classical and Quantum Gravity · 2006 · 167 citations · Full text

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Intrinsic definition of the Colombeau algebra of generalized functions

J. Aragona, H. A. Biagioni · Analysis Mathematica · 1991 · 95 citations · Full text

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Topological Structures in Colombeau Algebras: Topological $\widetilde{\mathbb{C}}$ -modules and Duality Theory

Claudia Garetto · Acta Applicandae Mathematicae · 2005 · 92 citations · Full text

, , +11

Topology on Asymptotic Algebras of Generalized Functions and Applications

Antoine Delcroix, Dimitris Scarpalézos · Monatshefte für Mathematik · 2000 · 45 citations

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