التفاصيل البيبلوغرافية
| العنوان: |
Beltrami's completeness for p symmetric matrix fields. |
| المؤلفون: |
Aibeche, Aissa, Amrouche, Chérif, Bahouli, Bassem |
| المصدر: |
Mathematical Models & Methods in Applied Sciences; Jun2022, Vol. 32 Issue 6, p1251-1294, 44p |
| مصطلحات موضوعية: |
MATRIX decomposition, COMPLETENESS theorem, SYMMETRIC matrices, LAPLACIAN matrices |
| مستخلص: |
Geymonat extended Gurtin's result on Beltrami's completeness to L 2 -case. The first objective of this paper is to generalize Geymonat's result to L p -case with tangential and normal boundary conditions. Maggiani et al. proposed an extension of Beltrami's-type decomposition for symmetric matrix fields in s p (Ω) when Ω is simply connected domain and of class ∞ . The second objective of this paper is to present more extensions of the above decomposition when the domain Ω is only of class 1 , 1 and not necessarily simply connected. The third objective of this paper is to use the previous characterizations of matrix fields to solve some variants of the bi-Laplacian problem. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
