After introducing non-minimal variables, the midpoint insertion of Y Ȳ in cubic open Neveu-Schwarz string field theory can be replaced with an operator Nρ depending on a constant parameter ρ. As in cubic open superstring field theory using the pure spinor formalism, the operator Nρ is invertible and is equal to 1 up to a BRST-trivial quantity. So unlike the linearized equation of motion Y Ȳ QV ...

For gasless combustion in a one-dimensional solid, we show a type of nonlinear stability of the physical combustion front: if a perturbation of the front is small in both a spatially uniform norm and an exponentially weighted norm, then the perturbation stays small in the spatially uniform norm and decays in the exponentially weighted norm, provided the linearized operator has no eigenvalues in...

We prove explicit coercivity estimates for the linearized Boltzmann and Landau operators, for a general class of interactions including any inversepower law interactions, and hard spheres. The functional spaces of these coecivity estimates depend on the collision kernel of these operators. For Maxwell molecules they coincide with the spectral gap estimates. For hard potentials they are stronger...

For a general class of linear collisional kinetic models in the torus, including in particular the linearized Boltzmann equation for hard spheres, the linearized Landau equation with hard and moderately soft potentials and the semi-classical linearized fermionic and bosonic relaxation models, we prove explicit coercivity estimates on the associated integro-differential operator for some modifie...