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Title: | Regularization for heat kernel in nonlinear parabolic equations | Authors: | Stojanović, Mirjana | Issue Date: | 1-Jan-2008 | Journal: | Taiwanese Journal of Mathematics | Abstract: | We prove existence-uniqueness theorems for some kinds of non-linear parabolic equations (cf. [2, 3, 15]) with singular initial data and non-Lipschitz's nonlinearities in a framework of Colombeau's algebras using different kinds of regularization for singularities appearing in the equations. We establish the convergence of a family of regularized solutions to the classical solutions (if they exist), when nonlinear term g(u) is of Lipschitz's class and ε → 0. Moreover, we find solutions not available in classical approach. | URI: | https://open.uns.ac.rs/handle/123456789/15781 | ISSN: | 10275487 | DOI: | 10.11650/twjm/1500602489 |
Appears in Collections: | PMF Publikacije/Publications |
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