A boundary value problem for a PDE model in mass transfer theory: Representation of solutions and applications

✍ Scribed by P. Cannarsa; P. Cardaliaguet; G. Crasta; E. Giorgieri

• Publisher: Springer
• Year: 2005
• Tongue: English
• Weight: 435 KB
• Volume: 24
• Category: Article
• ISSN: 0944-2669
• DOI: 10.1007/s00526-005-0328-7

✦ Synopsis

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.