@article{Lavrenyuk_Protsakh_2002, title={Mixed Problem for an Ultraparabolic Equation in Unbounded Domain}, volume={54}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/4146}, abstractNote={We investigate a mixed problem for a nonlinear ultraparabolic equation in a certain domain <em class="a-plus-plus">Q</em> 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.}, number={8}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Lavrenyuk, S. P. and Protsakh, N. P.}, year={2002}, month={Aug.}, pages={1053-1066} }