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Sobolev inequalities for differential forms and $L_{q,p}$-cohomology

Marc Troyanov

We study the relation between Sobolev inequalities for differential forms on a Riemannian manifold

(M,g)

and the

L_{q,p}

-cohomology of that manifold. The

L_{q,p}

-cohomology of

(M,g)

is defined to be the quotient of the space of closed differential ...

2006

From low-rank retractions to dynamical low-rank approximation and back

Graph Chatbot

Chattez avec Graph Search

Image alignment with rotation manifolds built on sparse geometric expansions

Numerical methods for multiscale problems

Oscillating fracture paths in thin elastic sheets: when geometry rules the fracture path

Sobolev inequalities for differential forms and $L_{q,p}$-cohomology

Low Damped Cloth Simulation

High-order collocation methods for differential equations with random inputs

Fully discrete heterogeneous Multiscale methods and application to transport problems in microarrays

Semi-analytical bifurcation analysis of two-phase flow in a heated channel

Cracks in Thin Sheets: When Geometry Rules the Fracture Path

Stereographic Frames of Wavelets on the Sphere

Numerical methods for multiscale problems

Image alignment with rotation manifolds built on sparse geometric expansions

Sobolev inequalities for differential forms and $L_{q,p}$-cohomology

Low Damped Cloth Simulation

High-order collocation methods for differential equations with random inputs

Semi-analytical bifurcation analysis of two-phase flow in a heated channel

Fully discrete heterogeneous Multiscale methods and application to transport problems in microarrays

Oscillating fracture paths in thin elastic sheets: when geometry rules the fracture path

Stereographic Frames of Wavelets on the Sphere

Cracks in Thin Sheets: When Geometry Rules the Fracture Path