Local and global well-posedness for the critical Schrödinger-Debye system

DOI10.1090/S0002-9939-2013-11612-6zbMath1283.35120arXiv1102.2874MaRDI QIDQ2845424

Jorge Drumond Silva, Filipe Oliveira, Adán J. Corcho

Publication date: 30 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.2874

zbMATH Keywords

Cauchy problemperturbed nonlinear Schrödinger equationglobal well-posedness

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (6)

Scattering theory for the Schrödinger–Debye system ⋮ Asymptotic behavior of the Schrödinger-Debye system with refractive index of quadratic wave amplitude ⋮ Global well-posedness results for the \(2D\)-Schrödinger-Debye system ⋮ On the unboundedness of higher regularity Sobolev norms of solutions for the critical Schrödinger–Debye system with vanishing relaxation delay ⋮ On the Cauchy Problem Associated with a Nonequilibrium Bose--Einstein Condensate of Exciton Polaritons ⋮ Global existence for Schrödinger–Debye system for initial data with infinite 𝐿²-norm

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