On the semilinear Schrödinger equation with time dependent coefficients

DOI10.1002/mana.201200108zbMath1309.35133OpenAlexW2121515199MaRDI QIDQ5175856

Takuya Gonda, Shuji Machihara, Tohru Ozawa

Publication date: 25 February 2015

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201200108

zbMATH Keywords

nonlinear Schrödinger equationLorentz spacetime dependent coefficient

Mathematics Subject Classification ID

Wave equation (35L05) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Hyperbolic equations on manifolds (58J45)

Related Items (2)

Strichartz estimates for Schrödinger operators with square potential with time-dependent coefficients ⋮ Global existence and scattering for nonlinear Schrödinger equations with time-dependent damping

Cites Work

• Some inequalities related to the Lorentz spaces
• Remarks on proofs of conservation laws for nonlinear Schrödinger equations
• Remarks on scattering for nonlinear Schrödinger equations
• On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness
• Convolution operators and L(p, q) spaces
• Asymptotically-Free Solutions for the Short-Range Nonlinear Schrödinger Equation
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• Endpoint Strichartz estimates
• Low Energy Scattering for Nonlinear Schrödinger Equations in Fractional Order Sobolev Spaces
• Lorentz space extension of Strichartz estimates
• Semilinear Schrödinger equation with time dependent coefficients

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