A convolution estimate for two-dimensional hypersurfaces
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Publication:986624
DOI10.4171/RMI/615zbMath1203.42033arXiv0809.5091MaRDI QIDQ986624
Sebastian Herr, Ioan Bejenaru, Daniel Tataru
Publication date: 11 August 2010
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.5091
Function spaces arising in harmonic analysis (42B35) Linear operators on function spaces (general) (47B38)
Related Items (24)
Sharp bilinear estimates and its application to a system of quadratic derivative nonlinear Schrödinger equations ⋮ Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in 2D ⋮ Well-posedness for a system of quadratic derivative nonlinear Schrödinger equations in almost critical spaces ⋮ Transversal multilinear Radon-like transforms: local and global estimates ⋮ Global nonlinear Brascamp-Lieb inequalities ⋮ Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher ⋮ Decoupling inequality for paraboloid under shell type restriction and its application to the periodic Zakharov system ⋮ Well-posedness for a system of quadratic derivative nonlinear Schrödinger equations with radial initial data ⋮ A short proof of the multilinear Kakeya inequality ⋮ Low regularity well-posedness for KP-I equations: the dispersion-generalized case ⋮ Local well-posedness and spatial analyticity for the generalized Zakharov-Kuznetsov equation ⋮ Resonant decompositions and global well-posedness for 2D Zakharov-Kuznetsov equation in Sobolev spaces of negative indices ⋮ \(L^p\) estimates for bilinear generalized Radon transforms in the plane ⋮ Convolutions of singular measures and applications to the Zakharov system ⋮ \(L^p\) improving multilinear Radon-like transforms ⋮ On the nonlinear Brascamp-Lieb inequality ⋮ Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation ⋮ Global well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation in 2D ⋮ Transference of bilinear restriction estimates to quadratic variation norms and the Dirac-Klein-Gordon system ⋮ Local well-posedness for the Klein-Gordon-Zakharov system in 3D ⋮ Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis ⋮ Local well-posedness for the Zakharov system in dimension \(d \leqslant 3\) ⋮ Initial value problems for nonlinear dispersive equations at critical regularity ⋮ Generating monotone quantities for the heat equation
Cites Work
- On the multilinear restriction and Kakeya conjectures
- Global well-posedness of the KP-I initial-value problem in the energy space
- A nonlinear generalisation of the Loomis-Whitney inequality and applications
- Bilinear estimates and applications to 2d NLS
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- Low regularity solutions for a 2D quadratic nonlinear Schrödinger equation
- Quadratic nonlinear derivative Schrödinger equations - Part 2
- On the 2D Zakharov system withL2Schrödinger data
- An inequality related to the isoperimetric inequality
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