New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations
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Svetlin G. Georgiev
svetlingeorgiev1@gmail.com
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Khaled Zennir
khaledzennir2@yahoo.com
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DOI:
https://doi.org/10.4067/S0719-06462018000200023Abstract
In this article, we consider a class of nonlinear parabolic equations. We use an integral representation combined with a sort of fixed point theorem to prove the existence of classical solutions for the initial value problem (1.1), (1.2). We also obtain a result on continuous dependence on the initial data. We propose a new approach for investigation for existence of classical solutions of some classes nonlinear parabolic equations.
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Published
2018-07-31
How to Cite
[1]
S. G. Georgiev and K. Zennir, “New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations”, CUBO, vol. 20, no. 2, pp. 23–39, Jul. 2018.
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