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Quasiasymptotic analysis in Colombeau algebra |
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| Authors: | Stevan Pilipovi? |
| Affiliation: | Department of Mathematics and Informatics, Faculty of Science, University of Novi Sad, Trg D. Obradovi?a 4, 21 000 Novi Sad, Serbia and Montenegro |
| Abstract: | We consider the main notions of G-quasiasymptotic (G-q.a.) analysis: G-q.a. behavior at zero, G-q.a. expansion at infinity, Sc-asymptotic and boundedness, Sc-expansion at infinity and their applications to the asymptotic behavior of the solution to some types of nonlinear PDEs in Colombeau algebra of generalized functions G. |
| Keywords: | Colombeau algebra of generalized functions G-q.a. behavior at zero Semilinear hyperbolic system G-q.a. expansion at infinity Wave equation Sc-asymptotic Sc-boundedness Semilinear parabolic equations Sc-asymptotic expansion |
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