Mixed Problem for an Ultraparabolic Equation in Unbounded Domain |
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Authors: | Lavrenyuk S P Protsakh N P |
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Institution: | (1) Politechnika Krakowska, Kraków, Poland;(2) Lviv University, Lviv |
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Abstract: | We investigate a mixed problem for a nonlinear ultraparabolic equation in a certain domain Q unbounded in the space variables. This equation degenerates on a part of the lateral surface on which boundary conditions are given. We establish conditions for the existence and uniqueness of a solution of the mixed problem for the ultraparabolic equation; these conditions do not depend on the behavior of the solution at infinity. The problem is investigated in generalized Lebesgue spaces. |
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