Critical Exponents for Fast Diffusion Equations with Nonlinear Boundary Sources

作     者：WANG LU-SHENG WANG ZE-JIA 

作者机构：School of Mathematics Jilin University Changehun 130012 

出 版 物：《Communications in Mathematical Research》 (数学研究通讯（英文版）)

年 卷 期：2011年第27卷第2期

页      面：97-104页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The Fundamental Research Funds for the Central Universities and the NSF(11071100) of China 

主　　题：exterior domain critical global exponent critical Fujita exponent fast diffusion equation 

摘      要：In this paper,we study the large time behavior of solutions to a class of fast diffusion equations with nonlinear boundary sources on the exterior domain of the unit *** are interested in the critical global exponent q_o and the critical Fujita exponent q_c for the problem considered,and show that q_o=q_c for the multidimensional Non-Newtonian polytropic filtration equation with nonlinear boundary sources,which is quite different from the known results that q_o〈q_c for the onedimensional case;moreover,the value is different from the slow case.