Dispersion vs. anti-diffusion: Well-posedness in variable coefficient and quasilinear equations of KdV-type

DOI10.1512/iumj.2013.62.5049zbMath1293.35274arXiv1205.2710OpenAlexW2964202517MaRDI QIDQ5415362

J. Douglas Wright, David M. Ambrose

Publication date: 12 May 2014

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2710

zbMATH Keywords

well-posednessill-posednessparaboliccompactongain of regularityKdV-like equations, dispersion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Positive solutions to PDEs (35B09)

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