Sobolev regularity of the second biharmonic problem on a rectangle
✍ Scribed by János Karátson
- Publisher
- Akadmiai Kiad
- Year
- 2005
- Tongue
- English
- Weight
- 112 KB
- Volume
- 109
- Category
- Article
- ISSN
- 1588-2632
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📜 SIMILAR VOLUMES
## Communicated by W. Spro¨ßig In this paper, we study a system of biharmonic equations coupled by the boundary conditions. These boundary conditions contain some combinations of the values, div, curl, and grad. Applications in mathematical physics are possible and the investigations will be done
We prove that C2\*" (a) solutions of problem (1.2) below are in H"+2(i2) for all m E IN, if f and the coefficients are in Hm(52) n Cola (a) . Previously, this result was explicitly known only if m > n/2 (or if m = 0). A similar result holds for the quasi-linear equation (1.11) below. of IR\* ; in th