| Spectral problems for parabolic equations with conditions of conjugation and dynamical boundary conditions |
| S. Gegovska-Zajkova |
Abstract The initial boundary value problems for the heat equation with discontinuous heat flow and concentrated heat capacity in the interior points or at the boundary are considered. The corresponding spectral problems, where the eigenvalues appear in the boundary or interface conditions, are derived and studied.
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Keywords: Parabolic equations, conjugation conditions, dynamical boundary conditions, spectral problems. |
MSC: 35K20, 35P99 |
Pages: 97$-$106 |
Volume 55 , Issue 3$-$4 , 2003 |
