Explicit estimates for the continuous dependence in L ([0, T]; L 1 (R d )) of solutions of the equation l v={ } (8(v))+2(.(v)) (in (0, )\_R d with initial condition v(0, } )=h) with respect to the nonlinear continuously differential functions 8 and . are established.
Nonlinear degenerate parabolic equations with time dependent singular coefficients
β Scribed by S. Ahmetolan; S. Cavdar
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 169 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
It is well-known that this inequality has a key role in the analysis of partial differential equations with singular coefficients. Moreover the nonexistence of positive solutions has strong connections with Hardy' s inequality.
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