Boundary value problem for nonlinear ultraparabolic equation in unbounded with respect to time variable domain

Year, pages: 2007, 131 - 146

This article describes the solvability in the generalized Lebesgue spaces of mixed problem and problem without initial condition for nonlinear ultraparabolic equation. The result is obtained without restrictions on the behaviour of the solution at infinity. The property of decreasing for the solution as $T o∞$ is proved. Some estimates for the solution in unbounded with respect to the time variable domain are obtained.

Lavrenyuk, S., Protsakh, N. 2007. Boundary value problem for nonlinear ultraparabolic equation in unbounded with respect to time variable domain. In Tatra Mountains Mathematical Publications, vol. 38, no.4, pp. 131-146. 1210-3195.

Lavrenyuk, S., Protsakh, N. (2007). Boundary value problem for nonlinear ultraparabolic equation in unbounded with respect to time variable domain. Tatra Mountains Mathematical Publications, 38(4), 131-146. 1210-3195.