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Title: | Nonlinear parabolic equations with singularities in colombeau vector spaces | Authors: | Stojanović, Mirjana | Issue Date: | 1-Jan-2006 | Journal: | Acta Mathematica Sinica, English Series | Abstract: | We consider nonlinear parabolic equations with nonlinear non-Lipschitz's term and singular initial data like Dirac measure, its derivatives and powers. We prove existence-uniqueness theorems in Colombeau vector space G C 1,W 2,2 ([0,T),R n ),n ≤ 3. Due to high singularity in a case of parabolic equation with nonlinear conservative term we employ the regularized derivative for the conservative term, in order to obtain the global existence-uniqueness result in Colombeau vector space G C 1, L 2 ([0,T),R n ),n ≤ 3. © Springer-Verlag 2006. | URI: | https://open.uns.ac.rs/handle/123456789/13995 | ISSN: | 14398516 | DOI: | 10.1007/s10114-005-0625-2 |
Appears in Collections: | PMF Publikacije/Publications |
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