عنوان	Nonlinear Neumann problem with a singular potential function on the manifold with conical singularity
نوع پژوهش	مقاله چاپ‌شده
کلیدواژه‌ها	Blow-up · Nonlinear parabolic equation · Sobolev spaces · Variational method
چکیده	This article is devoted to the existence and blow-up of solutions the semi-linear parabolic equation with singular potential function and nonlinear Neumann boundary condition on cone Sobolev spaces.More precise, we obtained a threshold result for the global existence of solution and proved the existence time of solution is finite when the initial energy satisfies certain condition.
پژوهشگران	مرتضی کوزه گر کالجی (نفر دوم)، یاسر خلیلی (نفر اول)