𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Optimal a priori estimates for interface problems

✍ Scribed by Michael Plum; Christian Wieners

Publisher
Springer-Verlag
Year
2003
Tongue
English
Weight
270 KB
Volume
95
Category
Article
ISSN
0029-599X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Some New A Priori Estimates for Second-O
Some New A Priori Estimates for Second-Order Elliptic and Parabolic Interface Problems
✍ Jianguo Huang; Jun Zou πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 172 KB

We present some new a priori estimates of the solutions to the second-order elliptic and parabolic interface problems. The novelty of these estimates lies in the explicit appearance of the discontinuous coefficients and the jumps of coefficients across the interface.

Optimal conditions for a priori estimate
Optimal conditions for a priori estimates for semilinear elliptic systems with two components
✍ Li Yuxiang πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 889 KB

In this paper, we present a new bootstrap procedure for elliptic systems with two unknown functions. When combined with the L p -L q -estimates, it yields the optimal L ∞ -regularity conditions for the three well-known types of weak solutions: H 1 0 -solutions, L 1 -solutions and L 1 δ -solutions. T