The research aims to investigate the initial boundary value problem for degenerate quasilinear ultraparabolic equations.
Analyzed the first initial boundary value problem
Focused on degenerate quasilinear p-Laplace equations
Proved the existence of generalized solutions
Established global existence of unique generalized solutions
Provided foundational understanding of degenerate ultraparabolic equations
Abstract
Abstract We consider the first initial boundary value problem for degenerate quasilinear ultraparabolic p ( x )-Laplace equations and prove the global existence of the unique generalized solution.