Uniqueness of solutions of the parabolic variational inequality with variable exponent of nonlinearity |
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| Authors: | O.M. Buhrii R.A. Mashiyev |
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| Affiliation: | 1. Department of Differential Equations, Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, 79000-Lviv, Ukraine;2. Dicle University, Faculty of Science and Arts, Department of Mathematics, 21280-Diyarbakir, Turkey |
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| Abstract: | In this article, new properties of variable exponent Lebesque and Sobolev spaces were examined. Using these properties we prove that the solution of some parabolic variational inequality is unique with the given conditions. |
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| Keywords: | 35K85 49J40 |
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