一类非线性抛物方程的单调方法

Monotonicity Methods for a Class of Nonlinear Parabolic Equation

研究极大单调映射的伪单调扰动理论,并且给出一类包含p-拉普拉斯算子的发展方程解的存在条件.此条件与以前所给相关条件相比有很大改进,存在性条件得到了简化.

We study the theory of pseudo-monotone perturbations of maximal monotone mappings and give existence conditions of solutions for a class of evolution equations involving p-Laplacian operators, which is much more simple and weaker than the conditions given in some previous relevant results.