关键词: p-Laplace算子, 退化, 抛物方程

Abstract: The present paper discusses the existence of weak solutions to the initial and boundary value problem of a class of degen erate parabolic equations in non-divergence form. The authors applied the method of parabolic regularization to prove the existence of weak solutions to the problem. By carefully analyzing the approximate solutions to the problem, the authors made a sequence of estimates to the solutions and proved the weak convergence of the approximation solution sequence and hence testified the existence of weak solutions.

Key words: p-Laplace operator, degenerate, parabolic equation