The boundary integral method for the Laplace equation with nonlinear boundary conditions
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The aim of this work is to show how the usual Boundary Integral Equation techniques can be extended to deal with harmonic problems with nonlinear mixed boundary conditions. Based on the Green formula, a nonlinear system of boundary integral equation is obtained. By the Browder and Minty theorem on monotone operators, the existence and the uniqueness of the solution is established.
Abstract
The aim of this work is to show how the usual Boundary Integral Equation techniques can be extended to deal with harmonic problems with nonlinear mixed boundary conditions. Based on the Green formula, a nonlinear system of boundary integral equation is obtained. By the Browder and Minty theorem on monotone operators, the existence and the uniqueness of the solution is established.
참고문헌 (9)
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