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Results tagged with ap.analysis-of-pdes
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user 41486
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
0
votes
Non-uniqueness of flow for divergence free vector fields
Another recent paper that deals with this question is this one:
http://cvgmt.sns.it/paper/3700/
The spirit is Eulerian and they use the convex integration technique (so unluckily no explicit vector …
- 151
3
votes
A question on density of Lipschitz functions in weighted Sobolev spaces
The problem is not easy to tackle: a conjecture by De Giorgi was that $e^{w}+ e^{w^{-1}} \in L^1(\mathbb{R}^n)$ is a sufficient condition for the coincidence for general $p$. Recently, in 2013, V.V.Z …
- 151