Dynamics of Partial Differential Equations
Volume 8 (2011)
Weighted energy decay for 1D Dirac equation
Pages: 113 – 125
We obtain a dispersive long-time decay in weighted energy norms for solutions of the 1D Dirac equation with generic potential. The decay extends the results obtained by Jensen, Kato and Murata for the Schrödinger equations.
dispersion, Dirac equation, relativistic equations, resolvent, spectral representation, weighted spaces, continuous spectrum, Born series, convolution, long-time asymptotics
2010 Mathematics Subject Classification
34L25, 35L10, 47A40, 81U05