On the renormalization group approach to perturbation theory for PDEs

DOI10.1007/s00023-010-0046-3zbMath1209.35012OpenAlexW2166380377MaRDI QIDQ625740

Walid K. Abou Salem

Publication date: 25 February 2011

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-010-0046-3

zbMATH Keywords

quadratic nonlinearitythree spatial dimensions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Renormalization group methods applied to problems in quantum field theory (81T17) Resonance in context of PDEs (35B34)

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Cites Work

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• Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations
• Renormalization group method. Application to Navier-Stokes equation
• Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions
• On a certain renormalization group method
• Global Solutions for 3D Quadratic Schrodinger Equations
• Renormalization Group Theory for Global Asymptotic Analysis
• Renormalization group method. Applications to partial differential equations

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