Short—time Asymptotics of the Heat Kernel of the Laplacian for a Multiply-connected Domain in R 2 with Robin Boundary Conditions
Elsayed M. E. Zayed · Applicable Analysis · 2001
The trace of the heat kernel are the eigenvalues of the negative Laplacian plane, is studied for a multiply—connected bounded domain Ω in R 2 surrounding by simply connected bounded domains fy with smooth boundaries where a finite number of piecewise smooth Robin boundary conditions on the piecewise smooth parts of the boundaries is considered, where and Some applications of θ (t) for an ideal gas enclosed in the multiply—connected bounded container Ω with Robin boundary conditions are given.