出版社：Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)
摘要：In this paper, we show that the $L^1$ norm of the bounded weak solutions of the Cauchy problem for general degenerate parabolic equations of the form u_t + div f(x,t,u) = div( u ^{\alpha}\nabla u), x \in R^n , t > 0, where \alpha > 0 is constant, decrease, under fairly broad conditions in advection flow f. In addition, we derive the mass conservation property for positive (or negative) solutions.
其他摘要：In this paper, we show that the $L^1$ norm of the bounded weak solutions of the Cauchy problem for general degenerate parabolic equations of the formu_t + div f(x,t,u) = div( u ^{\alpha}\nabla u), x \in R^n , t > 0,where \alpha > 0 is constant, decrease, under fairly broad conditions in advection flow f. In addition, we derive the mass conservation property for positive (or negative) solutions.
关键词：Mass Conservation Decreasing of the L1 Norm Porous Medium Equations
