## Abstract We obtain the __L__~__p__~โ__L__~__q__~ maximal regularity of the Stokes equations with Robin boundary condition in a bounded domain in โ^__n__^ (__n__โฉพ2). The Robin condition consists of two conditions: __v__ โ __u__=0 and ฮฑ__u__+ฮฒ(__T__(__u__, __p__)__v__ โ ใ__T__(__u__, __p__)__v__,
โฆ LIBER โฆ
On the sufficient condition for regularity of a boundary point for singular parabolic equations with non-standard growth
โ Scribed by Igor I. Skrypnik
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 214 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
โฆ Synopsis
We investigate the continuity of solutions for general nonlinear parabolic equations with non-standard growth near a nonsmooth boundary of a cylindrical domain. We prove a sufficient condition for regularity of a boundary point.
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