| Abstract: |
| We consider the heat equation with a dynamical boundary condition in $N$-dimensional half space. For the Laplace equation case it is well known that the solution exists global-in-time for any measurable initial data. In this talk, for suitable initial data we construct global-in-time solution of our problem, and show that this solution converge to a solution for the case of the Laplace equation when the coefficient of the time derivative for the heat equation tends to zero.
This talk is based on the joint work with M. Fila (Comenius Univ. ) and K. Ishige (Tohoku Univ.). |
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