Gradient estimates of the solution to the Cauchy problem for degenerate parabolic equations with nonpower nonlinearities.

Autor: Tedeev, Anatoli F., Tedeev, Azamat I.
Předmět:
Zdroj: Applicable Analysis; Feb2024, Vol. 103 Issue 4, p827-842, 16p
Abstrakt: We prove the uniform gradient estimates of the nonnegative solution to the Cauchy problem for quasilinear degenerate parabolic equations with nonpower nonlinearity. The large-time estimates in terms of initial data mass and nonlinearity structure were obtained. In the particular case, when the nonlinearity of the equation is power like, then our result coincides with well-known optimal bound. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index