论文信息 - Exact integrability conditions for cotangent vector fields

Exact integrability conditions for cotangent vector fields

In Quantum Hydro-Dynamics the following problem is relevant: let ( √ ρ,Λ) ∈ H1(Rd) × L2(Rd,Rd) be a finite energy hydrodynamics state, i.e. Λ = 0 when ρ = 0 and

Stefano Bianchini

[1] Weak curvature conditions and functional inequalities , 2005, math/0506481.

[2] T. Rajala. Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm , 2011, 1111.5526.

[3] S. Bianchini,et al. On the extremality, uniqueness and optimality of transference plans , 2009 .

[4] Shashi M. Srivastava,et al. A Course on Borel Sets , 1998, Graduate texts in mathematics.

[5] P. Marcati,et al. Genuine Hydrodynamic Analysis to the 1-D QHD System: Existence, Dispersion and Stability , 2019, Communications in Mathematical Physics.

[6] Shin-ichi Ohta. On the measure contraction property of metric measure spaces , 2007 .

[7] Nicola Gigli,et al. Nonsmooth differential geometry - An approach tailored for spaces with Ricci curvature bounded from below , 2014, 1407.0809.

[8] J. K. Hunter,et al. Measure Theory , 2007 .