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Independent fourth-order elastic coefficients for all crystal classes

โœ Scribed by Brendel, R.


Book ID
114522602
Publisher
International Union of Crystallography
Year
1979
Weight
670 KB
Volume
35
Category
Article
ISSN
0567-7394

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Fourth-order elastic coefficients in cry
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## Abstract We consider the equation (โˆ’1)^__m__^โˆ‡^__m__^ (__p__โˆ‡^__m__^__u__) + โˆ‚__u__ = ฦ’ in โ„^__n__^ ร— [0, โˆž] for arbitrary positive integers __m__ and __n__ and under the assumptions __p__ โˆ’1, ฦ’ ฯต __C__ and __p__ > 0. Under the additional assumption that the differential operator (โˆ’1)^__m__^โˆ‡^__

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โœ Matthias Winter ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 742 KB

## Abstract We consider the equation (โˆ’1)^__m__^โˆ‡^__m__^ (__p__โˆ‡^__m__^__u__) + โˆ‚__u__ = ฦ’ in โ„^__n__^ ร— (0, โˆž) for arbitrary positive integers __m__ and __n__ and under the assumptions __p__ โˆ’ 1, ฦ’ ฯต __C__(โ„^__n__^) and __p__ > 0. Even if the differential operator (โˆ’1)^__m__^โˆ‡^__m__^ (__p__โˆ‡^__m__