Solutions to the transmission problem with small positive interface resistance converge in Sobolev spaces to the perfect bonding solution as resistance approaches zero, with uniform gradient convergence under boundary regularity.
Miranda.Partial differential equations of elliptic type, volume Band 2 of Ergebnisse der Mathematik und ihrer Grenzgebiete [Results in Mathemat- ics and Related Areas]
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The transmission problem with imperfect interfaces of small resistance
Solutions to the transmission problem with small positive interface resistance converge in Sobolev spaces to the perfect bonding solution as resistance approaches zero, with uniform gradient convergence under boundary regularity.