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A Class of Evolutionary Problems with an Application to Acoustic Waves with Impedance Type Boundary Conditions.
Author(s) -
Picard Rainer
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110333
Subject(s) - boundary value problem , electrical impedance , class (philosophy) , operator (biology) , domain (mathematical analysis) , mathematical analysis , acoustic impedance , boundary (topology) , mathematics , acoustics , physics , computer science , chemistry , artificial intelligence , biochemistry , repressor , quantum mechanics , transcription factor , gene
A well‐posedness result for a time‐shift invariant class of evolutionary operator equations is considered and exemplified by an application to an impedance type initial boundary value problem for the system of linear acoustics. The problem class allows for memory effects in the domain as well as on the domain boundary. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)