Abstract
Linearly elastic laminates are examples of materials whose equilibrium equations may have only bounded measurable coefficients, yet whose solutions may be fairly smooth. This is quite different from general experience, where regularity of solutions is determined by the closeness of the system to a diagonal one. A particular situation where a laminate may appear is a highly twinned elastic or ferroelectric crystal, and there are questions related to these materials which make it useful to know some properties of these special systems of equations.
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Dedicated to James Serrin on his sixtieth birthday
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© 1989 Springer-Verlag Berlin Heidelberg
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Chipot, M., Kinderlehrer, D., Caffarelli, G.V. (1989). Smoothness of Linear Laminates. In: Analysis and Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83743-2_19
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DOI: https://doi.org/10.1007/978-3-642-83743-2_19
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