Philip T. Gressman

Global classical solutions of the Boltzmann equation without angular cut-off

This work proves the global stability of the Boltzmann equation (1872) with the physical collision kernels derived by Maxwell in 1866 for the full range of inverse-power intermolecular potentials,

Global classical solutions of the Boltzmann equation with long-range interactions

r^{-(p-1)}

Sharp anisotropic estimates for the Boltzmann collision operator and its entropy production

with

On the uniqueness of solutions to the periodic 3D Gross–Pitaevskii hierarchy

p>2

Nonlinear r -modes in neutron stars: Instability of an unstable mode

, for initial perturbations of the Maxwellian equilibrium states, as announced in \cite{gsNonCutA}. We more generally cover collision kernels with parameters

On multilinear determinant functionals

s\in (0,1)

A non-local inequality and global existence

and

8 - Affine, Quasi-Affine and Co-Affine Wavelets

\gamma

Scalar oscillatory integrals in smooth spaces of homogeneous type

satisfying

Regularity of the Fourier transform on spaces of homogeneous distributions

\gamma > -n