Formal solutions of second order evolution equations

DOI10.4171/ZAA/1426zbMath1213.35174OpenAlexW2093013523MaRDI QIDQ628819

Grzegorz Łysik

Publication date: 7 March 2011

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1426

zbMATH Keywords

formal power series solutionGevrey type estimates

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Nonlinear parabolic equations (35K55) Series solutions to PDEs (35C10) Initial value problems for nonlinear higher-order PDEs (35G25) Initial value problems for second-order parabolic equations (35K15)

Cites Work

• Formal solutions of Burgers type equations
• Multisummability of formal solutions of some linear partial differential equations
• Formal solutions of semilinear heat equations
• On the Borel summability of formal solutions for some first order singular PDEs with irregular singularity
• Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity
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