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Title: | Nonlinear parabolic equations with regularized derivatives in Colombeau algebra | Authors: | Stojanović, Mirjana | Issue Date: | 1-Jan-2006 | Journal: | Acta Applicandae Mathematicae | Abstract: | We consider several types of nonlinear parabolic equations with singular δ like potential and initial data. To prove the existence-uniqueness theorems we employ regularized derivatives. As a framework we use Colombeau space G p,q ([0,T)× ℝ n ),1 ≤ p,q ≤ ∞ and Colombeau vector space GG Ci,L2 ([0,T), ℝ n . | URI: | https://open.uns.ac.rs/handle/123456789/12387 | ISSN: | 01678019 | DOI: | 10.1007/s10440-006-9036-3 |
Appears in Collections: | Naučne i umetničke publikacije |
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