Spectral decomposition and decay to grossly determined solutions for a simplified BGK model

Groups and semigroups of linear operators, their generalizations and applications (47Dxx) Qualitative properties of solutions to partial differential equations (35Bxx) General theory of linear operators (47Axx)

Cites Work

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Grossly determined solutions for a Boltzmann-like equation
\(L^\infty\) resolvent bounds for steady Boltzmann's equation
Elementary solutions of the transport equation and their applications
Nonselfadjoint operators, infinite determinants, and some applications
Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves
Semigroups of linear operators and applications to partial differential equations
Eigenfunction expansions for some nonselfadjoint operators and the transport equation
On the stability of waves of nonlinear parabolic systems
Stability of periodic solutions of conservation laws with viscosity: Pointwise bounds on the Green function
Stable manifolds for a class of singular evolution equations and exponential decay of kinetic shocks
Elementary solutions for a model Boltzmann equation in one dimension and the connection to grossly determined solutions
Improving semigroup bounds with resolvent estimates
Evans functions, Jost functions, and Fredholm determinants
Explicit spectral gap estimates for the linearized Boltzmann and Landau operators with hard potentials
Elementary solutions of the linearized gas-dynamics Boltzmann equation and their application to the slip-flow problem
Investigation of the spectrum and the expansion in eigenfunctions of a non-selfadjoint differential operator of the second order on a semi-axis
On the Spectrum of C 0 -Semigroups
One-Parameter Semigroups for Linear Evolution Equations
Dirac Formalism and Symmetry Problems in Quantum Mechanics. I. General Dirac Formalism
COMPLETELY REGULAR PERTURBATION OF A CONTINUOUS SPECTRUM
A renormalization method for the Chapman-Enskog expansion

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