Hölder estimates of solutions to a degenerate diffusion equation期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Hölder estimates of solutions to a degenerate diffusion equation

Authors:	Yunguang Lu

Institution:	Departamento de Matemáticas y Estadística, Universidad Nacional de Colombia, Bogotá, Colombia -- and -- Department of Mathematics, University of Science & Technology of China, Hefei, People's Republic of China

Abstract:	This paper is concerned with the Hölder estimates of weak solutions of the Cauchy problem for the general degenerate parabolic equations $\begin{displaymath}u_{t}= \Delta G(u)+ \sum \limits _{j=1}^{N}f_{j}(u)_{x_{j}}+h(u), \end{displaymath}$ with the initial data $u(x,0)=u_{0}(x_1,x_2,\dots,x_N)$ , where the diffusion function can be a constant on a nonzero measure set, such as the equations of two-phase Stefan type. Some explicit Hölder exponents of the composition function with respect to the space variables are obtained by using the maximum principle.

Keywords:	Degenerate parabolic equation H\"older solution maximum principle

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文