## Abstract This paper is concerned with the thermoelastic plate equations in a domain Ξ©: subject to the boundary condition: __u__|=__D__~Ξ½~__u__|=ΞΈ|=0 and initial condition: (__u, u__~__t__~, ΞΈ)|~__t__=0~=(__u__~0~, __v__~0~, ΞΈ~0~). Here, Ξ© is a bounded domain in β^__n__^(__n__β§2). We assume tha
On Lp Bounds for Kakeya Maximal Functions and the Minkowski Dimension in R2
β Scribed by Keich, U.
- Book ID
- 127056543
- Publisher
- Oxford University Press
- Year
- 1999
- Tongue
- English
- Weight
- 231 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0024-6093
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We obtain the __L__~__p__~β__L__~__q__~ maximal regularity of the Stokes equations with Robin boundary condition in a bounded domain in β^__n__^ (__n__β©Ύ2). The Robin condition consists of two conditions: __v__ β __u__=0 and Ξ±__u__+Ξ²(__T__(__u__, __p__)__v__ β γ__T__(__u__, __p__)__v__,
In dimensionless units the step-up and step-down operators for the one-dimensional potential V= fx2+B/2x2, are A^? =ffxd/bx~$-f~2+f~,with~=-~ddl/dX2tV(~).WritingB~u(u-l),~+~~~[(n+l)(n+v+f)]"2~~+, arid..\_\_\_\_ = [ n( n + v-l) ] "jv\_, , corresponds to a raising and lowering of the energy by two har