G. Lauro et S. Totaro, A PROBLEM OF OUTGASSING AND CONTAMINATION WITH MULTIPLYING BOUNDARY-CONDITIONS, Journal of mathematical analysis and applications, 195(3), 1995, pp. 759-777
A mathematical model for the description of processes of outgassing an
d contamination is studied under the assumption that the boundary surf
ace between the region where the contaminant particles are produced an
d the cavity, where they migrate, is multiplying. The theory of semigr
oups is used to show that a unique positive strict solution exists. Su
itable bounds for the total number of contaminant particles are derive
d. (C) 1995 Academic Press, Inc.