Article
A note on strongly nonlinear parabolic variational inequalities
Authors
Abstract
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.
Keywords
Strongly nonlinear parabolic operators, variational inequalities, 35K86, 49J40
Citation
El-Dessouky, A. T. (2017). A note on strongly nonlinear parabolic variational inequalities. Applied Mathematics and Nonlinear Sciences, 2(2), 443–448. https://doi.org/10.21042/AMNS.2017.2.00035
A. T. El-Dessouky, “A note on strongly nonlinear parabolic variational inequalities,” Applied Mathematics and Nonlinear Sciences, vol. 2, no. 2, pp. 443–448, 2017, doi: 10.21042/AMNS.2017.2.00035.
El-Dessouky AT. A note on strongly nonlinear parabolic variational inequalities. Applied Mathematics and Nonlinear Sciences. 2017;2(2):443–448. doi:10.21042/AMNS.2017.2.00035.
El-Dessouky, A. T. (2017), ‘A note on strongly nonlinear parabolic variational inequalities’, Applied Mathematics and Nonlinear Sciences, 2(2), pp. 443–448. Available at: https://doi.org/10.21042/AMNS.2017.2.00035.
El-Dessouky, A. T. “A Note on Strongly Nonlinear Parabolic Variational Inequalities.” Applied Mathematics and Nonlinear Sciences, vol. 2, no. 2, 2017, pp. 443–448. https://doi.org/10.21042/AMNS.2017.2.00035.
El-Dessouky, A. T. “A Note on Strongly Nonlinear Parabolic Variational Inequalities.” Applied Mathematics and Nonlinear Sciences 2, no. 2 (2017): 443–448. https://doi.org/10.21042/AMNS.2017.2.00035.
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Published by: Engineering Journals
