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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On the local regularity of solutions in linear viscoelasticity of several space dimensions


Author: Jong Uhn Kim
Journal: Trans. Amer. Math. Soc. 346 (1994), 359-398
MSC: Primary 35L10; Secondary 35B65, 35R10, 45K05, 73F15
DOI: https://doi.org/10.1090/S0002-9947-1994-1270666-7
MathSciNet review: 1270666
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Abstract: In this paper we discuss the local regularity of solutions of a nonlocal system of equations which describe the motion of a viscoelastic medium in several space dimensions. Our main tool is the microlocal analysis combined with MacCamy's trick and the argument of the classical energy method.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1994-1270666-7
Keywords: Local regularity, MacCamy's trick, propagation of singularities, energy method, microlocal regularity, bicharacteristic strip, bicharacteristic curve, singular support
Article copyright: © Copyright 1994 American Mathematical Society