On the existence of a generalized solution of a nonlinear evolution system of equations in a domain unbounded in time |
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Authors: | Maksim Nechepurenko Galina Torgan |
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Affiliation: | 1. Mechanico-Mathematical Faculty, Ivan Franko Lviv National University, Lviv, 79000, Ukraine
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Abstract: | We consider a mixed problem with Dirichlet homogeneous boundary conditions and nonzero initial conditions for a nonlinear coupled evolution system of equations in a domain unbounded in time. The conditions of existence of a generalized solution are obtained. It is shown that no solution of the problem exists at a negative initial value of the energy integral. |
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