2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146999Using pointwise semigroup techniques of Zumbrun--Howard and Mascia--Zumbrun, we obtain sharp global pointwise Green function bounds for noncharacteristic boundary layers of arbitrary amplitude. These estimates allow us to analyze linearized and nonlinearized stability of noncharacteristic boundary layers of one-dimensional systems of conservation laws, showing that both are equivalent to a numerically checkable Evans function condition. Our results extend to the large-amplitude case results obtained for small amplitudes by Matsumura, Nishihara and others using energy estimates.33 ppAnalysis of PDEs35B35Pointwise Green function bounds and long-time stability of large-amplitude noncharacteristic boundary layerstext