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Dynamical interface transition in ramified media with diffusion. (English) Zbl 0852.35057

Interaction problems in ramified spaces with an interface transition in form of a dynamical Kirchhoff condition, are studied. The conditions come from applications and modelling in biology and physics. The authors prove existence results in the linear and semilinear case and they analyze the influence of the transition on the behaviour of solutions.
Reviewer: M.A.Vivaldi (Roma)

MSC:

35G10 Initial value problems for linear higher-order PDEs
35K25 Higher-order parabolic equations
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