Sobolev regular flows of non-Lipschitz vector fields
Sobolev regular flows of non-Lipschitz vector fields is a scholarly work, published in 2019 in ''Journal of Differential Equations''. The main subjects of the publication include Sobolev space, Lipschitz domain, mathematical analysis, pure mathematics, Lipschitz function, bifurcation theory, Fractional Laplacian, Sobolev inequality, vector field, mathematics, and fluid dynamics. The authors show that vector fields with exponentially integrable derivatives admit a well defined flow of homeomorphisms X ( t , ⋅ ) ∈ W 1 , p ( t ) l o c for some p ( t ) > 1 , at least for small times.