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MATEMATIČKI VESNIK
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