Lp-Bounded Pseudodifferential Operators and Regularity for Multi-quasi-elliptic Equations
✍ Scribed by Gianluca Garello; Alessandro Morando
- Book ID
- 105760048
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2005
- Tongue
- English
- Weight
- 499 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
We consider elliptic equations of the form L \* μ = ν for measures on R n . The membership of solutions in the Sobolev classes W p,1 (R n ) is established under appropriate conditions on the coefficients of L. Bounds of the form (x) CΦ(x) -1 for the corresponding densities are obtained.
## Abstract We obtain the __L__~__p__~–__L__~__q__~ maximal regularity of the Stokes equations with Robin boundary condition in a bounded domain in ℝ^__n__^ (__n__⩾2). The Robin condition consists of two conditions: __v__ ⋅ __u__=0 and α__u__+β(__T__(__u__, __p__)__v__ – 〈__T__(__u__, __p__)__v__,