Object visibility for an observer with inaccurately given coordinates |
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| Authors: | V. I. Berdyshev |
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| Affiliation: | 1.Geometry and Teaching Mathematics Methodology,Vladimir State University for the Humanities,Vladimir,Russia;2.Mathematical Analysis,Vladimir State University for the Humanities,Vladimir,Russia |
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| Abstract: | We study the solvability of an initial-boundary value problem for second-order parabolic equations with variable order of nonlinearity. In the model case, the equation contains the p-Laplacian with a variable exponent p(x, t). We prove that if the measurable exponent p is separated from unity and infinity, then the problem has W-and H-solutions. |
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