Global existence and \(L^{\infty}\) estimates of solution for doubly nonlinear parabolic equation
The Dirichlet problem for a doubly nonlinear degenerate parabolic equation is studied. Global existence, uniqueness, and \(L^\infty\)-estimates of weak solutions are established. The behavior of solutions as \(t\to 0^+\) and \(t\to\infty\) is also investigated. To obtain the \(L^\infty\)-estimates, Moser's iteration technique is used.
behavior of solutions as \(t\to 0^+\) and \(t\to\infty\)
scientific article; zbMATH DE number 1441392