Global weak solutions and attractors of the three-dimensional Maxwell-Bloch two level laser systems

DOI10.1007/BF02102599zbMath0861.35118MaRDI QIDQ1924054

Yanyan Li

Publication date: 4 May 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

periodic boundary conditionshyperbolicityStrichartz inequalitydispersivityuniversal attractorMaxwell-Bloch systemtwo level wide aperture lasers

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Lasers, masers, optical bistability, nonlinear optics (78A60)

Cites Work

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• On the global Cauchy problem for some nonlinear Schrödinger equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Finite-dimensional attractor for the laser equations
• Partial regularity of suitable weak solutions of the navier-stokes equations

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