The Cauchy problem for the Ishimori equations

DOI10.1016/0022-1236(92)90079-XzbMath0763.35077MaRDI QIDQ1187997

Alain Soyeur

Publication date: 3 August 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

well-posednessnonlinear wave equationisotropic spin-chain in ferromagnetism

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs in connection with quantum mechanics (35Q40)

Related Items

Global Existence for Two Dimensional Quadratic Derivative Nonlinear Schrödinger Equations ⋮ Global existence of small solutions to semilinear Schrödinger equations with gauge invariance ⋮ Local well-posedness for hyperbolic-elliptic Ishimori equation ⋮ On the stability of certain spin models in \(2+1\) dimensions ⋮ Global extstence of small solutions to semiliner schrödinger equations ⋮ Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces ⋮ Globally well and ill posedness for non-elliptic derivative Schrödinger equations with small rough data ⋮ Schrödinger soliton from Lorentzian manifolds ⋮ Large time behavior of solutions for derivative cubic nonlinear Schrödinger equations ⋮ Low-regularity Schrödinger maps. II: Global well-posedness in dimensions \(d \geq 3\) ⋮ Global existence of small classical solutions to nonlinear Schrödinger equations ⋮ Quadratic derivative nonlinear Schrödinger equations in two space dimensions ⋮ IST Versus PDE: A Comparative Study ⋮ The initial value problem for cubic semilinear Schrödinger equations

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