Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus

DOI10.1016/j.na.2022.112845zbMath1492.35100arXiv2102.02689OpenAlexW3127226032MaRDI QIDQ2141041

Tristan Roy

Publication date: 23 May 2022

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.02689

zbMATH Keywords

local well-posednessill-posednessparabolic smoothingfully nonlinear third-order equationsgauged energy estimates

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Cites Work

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• Well-posedness of fully nonlinear KdV-type evolution equations
• Dispersion vs. anti-diffusion: Well-posedness in variable coefficient and quasilinear equations of KdV-type
• Large data local well-posedness for a class of KdV-type equations

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