مشکل مرز ارزش برای یک مدل PDE در تئوری انتقال جرم : نمایندگی از راه حل های و برنامه های کاربردی A boundary value problem for a PDE model in mass transfer theory: Representation of solutions and applications
- نوع فایل : کتاب
- زبان : انگلیسی
- نویسنده : Cannarsa P. ,Cardaliaguet P. ,Crasta G.
- چاپ و سال / کشور: 2005
Description
The system of partial differential equationsarises in the analysis of mathematical models for sandpile growth and in the context of the Monge-Kantorovich optimal mass transport theory. A representation formula for the solutions of a related boundary value problem is here obtained, extending the previous two-dimensional result of the first two authors to arbitrary space dimension. An application to the minimization of integral functionals of the formwith f≥ 0, and h≥ 0 possibly non-convex, is also included.
