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On the Theory of Diffusion Processes in Viscoelastic Media
Author(s) -
Gröger K.,
Hünlich R.
Publication year - 1981
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19810611006
Subject(s) - viscoelasticity , monotone polygon , hilbert space , mathematics , diffusion , convergence (economics) , mathematical analysis , physics , thermodynamics , geometry , economics , economic growth
The paper deals with initial value problems describing diffusion processes in viscoelastic media. By means of the theory of maximal monotone operators in Hilbert spaces it is shown that these problems are uniquely solvable. Moreover, the convergence of an approximation method is proved.