Well-posedness and Ill-posedness for Linear Fifth-Order Dispersive Equations in the Presence of Backwards Diffusion
Author:
Funder
Directorate for Mathematical and Physical Sciences
Publisher
Springer Science and Business Media LLC
Subject
Analysis
Link
http://link.springer.com/content/pdf/10.1007/s10884-020-09905-9.pdf
Reference14 articles.
1. Akhunov, T.: A sharp condition for the well-posedness of the linear KdV-type equation. Proc. Am. Math. Soc. 142(12), 4207–4220 (2014)
2. Akhunov, T., Ambrose, D.M., Wright, J.D.: Well-posedness of fully nonlinear KdV-type evolution equations. Nonlinearity 32, 2914–2954 (2019)
3. Ambrose, D.M., Simpson, G., Wright, J.D., Yang, D.G.: Ill-posedness of degenerate dispersive equations. Nonlinearity 25(9), 2655–2680 (2012)
4. Ambrose, D.M., Wright, J.D.: Dispersion vs. anti-diffusion: well-posedness in variable coefficient and quasilinear equations of KdV type. Indiana Univ. Math. J. 62(4), 1237–1281 (2013)
5. Bourgain, J.: On the Cauchy problem for periodic KdV-type equations. In: Proceedings of the Conference in Honor of Jean-Pierre Kahane (Orsay, 1993), Number Special Issue, pp. 17–86 (1995)
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