Global attractor for 3D Dirac equation with nonlinear point interaction
Global attractor for 3D Dirac equation with nonlinear point interaction
Abstract We prove global attraction to stationary orbits for 3D Dirac equation with concentrated nonlinearity. We show that each finite energy solution converges as $$t\rightarrow \pm \infty $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>t</mml:mi> <mml:mo>→</mml:mo> <mml:mo>±</mml:mo> <mml:mi>∞</mml:mi> </mml:mrow> </mml:math> to the set of four-frequency “nonlinear eigenfunctions”. The global attraction is caused by …