THE CAUCHY PROBLEM FOR SCHRÖDINGER–DEBYE EQUATIONS

DOI10.1142/S0218202500000185zbMath1010.78010OpenAlexW1994999627WikidataQ107099904 ScholiaQ107099904MaRDI QIDQ4798794

Brigitte Bidégaray-Fesquet

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202500000185

zbMATH Keywords

nonlinear opticslocal-in-time Cauchy problemSchrödinger-Debye equations

Mathematics Subject Classification ID

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

Related Items (6)

Scattering theory for the Schrödinger–Debye system ⋮ Asymptotic behavior of the Schrödinger-Debye system with refractive index of quadratic wave amplitude ⋮ Numerical study of self-focusing solutions to the Schrödinger-Debye system ⋮ On the Cauchy Problem Associated with a Nonequilibrium Bose--Einstein Condensate of Exciton Polaritons ⋮ Local and global well-posedness for the critical Schrödinger-Debye system ⋮ Global existence for Schrödinger–Debye system for initial data with infinite 𝐿²-norm

Cites Work

• Existence and smoothing effect of solutions for the Zakharov equations
• Blow-up results of virial type for Zakharov equations

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