Existence of solutions for a class of degenerate parabolic equation with a linear diffusion
LIANG Bo
GAO Xin
WANG Ying
PENG Xi-ting
Abstract：The existence of solutions for a class degenerate parabolic equation with a linear diffusion is stud-ied. Under some assumptions on the initial value, by using the time discretization method, the minimizer func-tional method, the Poincare inequality and Young inequality, the existence of a discrete problem is proved. Mo-reover, by constructing the approximation solutions of the degenerate parabolic equation, the necessary uniform estimates are obtained and then we can gain the convergence results. Finally, the existence of the weak solutions is proved.
Keywords：degenerate parabolic equationweak solutionsexistence
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 117-122 )