Nonlinear Diffusion Equations
Nonlinear Diffusion Equations
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DOI：
10.1142/4782
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发表时间：
2002-02
期刊：
影响因子：
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通讯作者：
Zhuoqun Wu;Jingxue Yin;Huilai Li;Junning Zhao
中科院分区：
文献类型：
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作者：
Zhuoqun Wu;Jingxue Yin;Huilai Li;Junning Zhao
牛顿过滤方程：解的存在性和唯一性-一维情况解的存在性和唯一性-高维情况解的正则性-一维情况解的正则性-高维情况自由边界的性质-一维情况自由边界的性质-高维情况解的初始迹其他问题。非牛顿渗流方程：解的存在性，Harnack不等式，解的初迹，解的正则性，解的唯一性，自由边界的性质，其它问题。一般二阶拟线性方程：一维弱退化方程高维弱退化方程一维强退化方程不含低阶项的高维退化方程类BV和BV。高阶非线性扩散方程：四阶方程的相似解双退化方程常数迁移率Cahn-Hilliard方程迁移率与浓度有关的Cahn-Hilliard方程薄膜方程退化迁移率Cahn-Hilliard方程。
Newtonian filtration equations: existence and uniqueness of solutions - one dimensional case existence and uniqueness of solutions - higher dimensional case regularity of solutions - one dimensional case regularity of solutions - higher dimensional case properties of the free boundary - one dimensional case properties of the free boundary - higher dimensional case initial trace of solutions other problems. Non-Newtonian filtration equations: existence of solutions Harnack inequality and initial trace of solutions regularity of solutions uniqueness of solutions properties of the free boundary other problems. General quasilinear equations of second order: weakly degenerate equations in one dimension weakly degenerate equations in higher dimension strongly degenerate equations in one dimension degenerate equations in higher dimension without terms of lower order general strongly degenerate equations in higher dimension classes BV and BV. Nonlinear diffusion equations of higher order: similarity solutions of a fourth order equation equations with double-degeneracy Cahn-Hilliard equation with constant mobility Cahn-Hilliard equations with positive concentration dependent mobility thin film equation Cahn-Hilliard equation with degenerate mobility.