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Publication:2869750
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zbMath1288.58016MaRDI QIDQ2869750

Giuseppe Savaré, Nicola Gigli, Luigi Ambrosio

Publication date: 3 January 2014


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Hamilton-Jacobi equationgradient flowheat flowWasserstein distanceHopf-Lax formulacompact metric spacesbounded below curvatureBrenier's TheoremSobolev spaces over metric spaces


Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Variational problems in a geometric measure-theoretic setting (49Q20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)


Related Items (8)

Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds ⋮ Lecture notes on differential calculus on \(\mathsf{RCD}\) spaces ⋮ Monotonicity of time-dependent transportation costs and coupling by reflection ⋮ On the differential structure of metric measure spaces and applications ⋮ On a class of first order Hamilton-Jacobi equations in metric spaces ⋮ A time-step approximation scheme for a viscous version of the Vlasov equation ⋮ A flow tangent to the Ricci flow via heat kernels and mass transport ⋮ Metric viscosity solutions of Hamilton-Jacobi equations depending on local slopes




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