Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866929682813812736 |
|---|---|
| author | Tu, Li Zhou, Yi |
| author_facet | Tu, Li Zhou, Yi |
| contents | We give a simpler proof for the local well-posedness of the modified Korteweg-de Vries equations and modified Benjamin-Ono equation in $H^{\frac{1}{4}}(\mathbb{R})$ and $H^{\frac{1}{2}}(\mathbb{R})$, respectively. The proof is based on the Strichartz estimate, dyadic decomposition and a bilinear estimate given by a new type of div-curl lemma. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13656 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations Tu, Li Zhou, Yi Analysis of PDEs 35Q53 We give a simpler proof for the local well-posedness of the modified Korteweg-de Vries equations and modified Benjamin-Ono equation in $H^{\frac{1}{4}}(\mathbb{R})$ and $H^{\frac{1}{2}}(\mathbb{R})$, respectively. The proof is based on the Strichartz estimate, dyadic decomposition and a bilinear estimate given by a new type of div-curl lemma. |
| title | Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations |
| topic | Analysis of PDEs 35Q53 |
| url | https://arxiv.org/abs/2410.13656 |