Sharp well-posedness and ill-posedness results for dissipative KdV equations on the real line
From MaRDI portal
Publication:5078627
DOI10.7153/dea-2021-13-24zbMath1499.35175OpenAlexW3216697902WikidataQ115157905 ScholiaQ115157905MaRDI QIDQ5078627
Pedro Gamboa, Raphael Santos, Xavier Carvajal
Publication date: 23 May 2022
Published in: Differential Equations & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/dea-2021-13-24
PDEs in connection with optics and electromagnetic theory (35Q60) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15) Initial value problems for PDEs of mixed type (35M11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the well-posedness of higher order viscous Burgers' equations
- Scattering for the quartic generalised Korteweg-de Vries equation
- The Cauchy problem for a generalized Korteweg-de Vries equation in homogeneous Sobolev spaces
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- Well-posedness results and dissipative limit of high dimensional KdV-type equations
- Generalized Strichartz inequalities for the wave equation
- Well-posedness for a perturbation of the KdV equation
- Effect of Viscosity on Long Gravity Waves
- Global Well-Posedness for Dissipative Korteweg-de Vries Equations
- Sharp ill-posedness and well-posedness results for the KdV-Burgers equation: the real line case
- The Cauchy problem for dissipative Korteweg de Vries equations in Sobolev spaces of negative order
- A bilinear estimate with applications to the KdV equation
- Sharp local well-posedness of KdV type equations with dissipative perturbations
- A non-linear equation incorporating damping and dispersion
This page was built for publication: Sharp well-posedness and ill-posedness results for dissipative KdV equations on the real line