A Note on the Well-Posedness of Control Complex Ginzburg-Landau Equations in Zhidkov Spaces

DOI10.5540/tcam.2022.023.03.00539zbMath1525.35210MaRDI QIDQ6088071

Agustín Besteiro

Publication date: 13 December 2023

Published in: Trends in Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

well-posednessZhidkov spacesLie-Trotter method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• Approximate and exact controllability of a reaction-diffusion equation governed by bilinear control
• The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. II: Contraction methods
• Controlling turbulence in the complex Ginzburg-Landau equation
• The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. I: Compactness methods
• Controlling turbulence in the complex Ginzburg-Landau equation. II: Two-dimensional systems
• Global existence for vector valued fractional reaction-diffusion equations
• General splitting methods for abstract semilinear evolution equations
• Schrödinger group on Zhidkov spaces
• The world of the complex Ginzburg-Landau equation
• High-order time-splitting methods for irreversible equations
• A note on dark solitons in nonlinear complex Ginzburg-Landau equations

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