On the well-posedness of global fully nonlinear first order elliptic systems
In the very recent paper [15], the second author proved that for any f∈L2(ℝn,ℝN){f\in L^{2}(\mathbb{R}^{n},\mathbb{R}^{N})}, the fully nonlinear first order system F(⋅,Du)=f{F(\,\cdot\,,\mathrm{D}u)=f} is well posed in the so-called J. L. Lions space and, moreover, the unique strong solution u:ℝn...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2018-05-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2016-0049 |