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Exponential decay for a von Kármán equations of memory type with acoustic boundary conditions
Author(s) -
Kang JumRan
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3090
Subject(s) - mathematics , exponential decay , type (biology) , exponential growth , exponential type , exponential function , kernel (algebra) , mathematical analysis , boundary (topology) , zero (linguistics) , mathematical physics , pure mathematics , physics , quantum mechanics , ecology , linguistics , philosophy , biology
In this paper, we consider the dynamical von Kármán equations of memory type with acoustic boundary conditions. We show an exponential decay result of solutions under weaker assumption than the ones frequently used in the literature. In particular, the kernel we are considering is not necessarily exponentially decaying to zero as was assumed before. Copyright © 2014 John Wiley & Sons, Ltd.