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A note on strongly nonlinear parabolic variational inequalities

A. T. El-Dessouky
A. T. El-Dessouky
   | 23 oct. 2017
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Publié en ligne: 23 oct. 2017
Pages: 443 - 448
Reçu: 06 avr. 2017
Accepté: 23 oct. 2017
DOI: https://doi.org/10.21042/AMNS.2017.2.00035
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© 2017 A.T. El-Dessouky, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

We prove the existence of weak solutions of variational inequalities for general quasilinear parabolic operators of order m = 2 with strongly nonlinear perturbation term. The result is based on a priori bound for the time derivatives of the solutions.

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Anglais
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Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics
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