On the regularity of solutions of second-order elliptic partial differential equations with an unbounded Dirichlet integral
✍ Scribed by Jindřich Nečas
- Publisher
- Springer
- Year
- 1962
- Tongue
- English
- Weight
- 512 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0003-9527
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📜 SIMILAR VOLUMES
for u ( x ) = ( u l ( x ) , -\* , u,(x)).
## Abstract We use rearrangement techniques to investigate the decay of the parabolic Dirichlet problem in a bounded domain. The coefficients of the second order term are used to introduce an isoperimetric problem. The resulting isoperimetric function together with the divergence of the first order
## Abstract Regularity of the solution for the wave equation with constant propagation speed is conserved with respect to time, but such a property is not true in general if the propagation speed is variable with respect to time. The main purpose of this paper is to describe the order of regularity