2007•Journal of Guangdong Polytechnic Normal UniversityRequires access

The Solution to the Heat Equation with Robin and Kinetic Boundary Condition

Yingshan Chen

Abstract

By now people have managed to find formulas of the solution for the heat equation on the half-plane with Dirichlet and Neumann condition.However there is no existed formula of solution for the problem with the third boundary condition and little study related to the problem with kinetic boundary condition.Therefore,the paper tries to find formulas of solution for the problem with these two kinds of boundary condition.

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Available abstract

Key concepts: Robin boundary condition, Mixed boundary condition, Boundary value problem, Cauchy boundary condition, Neumann boundary condition, Mathematics, Dirichlet boundary condition, Free boundary problem