نوع مقاله : مقاله پژوهشی
نویسنده
گروه ریاضی دانشگاه صنعتی شریف
چکیده
کلیدواژهها
موضوعات
عنوان مقاله [English]
نویسنده [English]
In this paper, we study the reaction-diffusion equation $\Delta u(x) = |u(x)|^{\gamma(x)-1} u(x) $ from a regularity point of view. This equation is used for modelling the distribution of a gas in an inhomogeneous porous catalyst. And the power $\gamma(x)$ can be a discontinuous function. In particular, we study the vanishing order of solution near the zero level set $\{u=0\}$.
کلیدواژهها [English]