Global well-posedness for the critical Schrödinger-Debye system

DOI10.4310/DPDE.2014.v11.n3.a3zbMath1303.35087MaRDI QIDQ470324

Pedro Gamboa, Xavier Carvajal

Publication date: 12 November 2014

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

a priori estimatesglobal well-posednessSchrödinger-Debye system

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (3)

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

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