Local solvability of one-dimensional problem of thermoviscoelasticity
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The local solvability of the initial-boundary value problem in spaces of summable functions for some one-dimensional system of equations of thermoviscoelasticity is established. The nonlinearities in equations are determined by the difference between Lagrangian and Eulerian coordinates. The coercive approach implies a necessary condition on the initial data.
KeywordsUnique Solution Linear Problem Dimensional Problem Unique Fixed Point Summable Function
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