Stability of stationary transport equations with accretive collision operators
Stability of solutions to stationary transport equations with accretive collision operators is studied in this article. Stability means here robustness with respect to small perturbations of both operators and initial values. The problem is studied first in the finite-dimensional case to which the general problem is eventually reduced (Section 1). Section 2 is devoted to the study of several spectral decompositions and accretive admissible pairs play an important role here. The main results are proved in Section 3. This extends previous work for positive semidefinite operators.
robustness with respect to small perturbations
scientific article; zbMATH DE number 1496049
scientific article