Recently, L. Guth improved the restriction estimate for the surfaces with strictly positive Gaussian curvature in R3. In this paper we extend his restriction estimate to the quadratic surfaces with strictly negative Gaussian curvature in R3
Abstract. In this paper, we mainly investigate non-developable ruled surface in a 3-dimensional Eucl...
AbstractWe obtain bilinear restriction estimates for surfaces with vanishing curvatures. As applicat...
Global COE Program Math-for-Industry Education & Research HubグローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」The m...
If Γ is a C3 hypersurface in Rn and dσ is induced Lebesgue measure on Γ, then it is well known that ...
Abstract. We investigate restriction theorems for hypersurfaces of revolution in R3, with affine cur...
A necessary condition is established for the optimal (Lp, L2) restriction theorem to hold on a hyper...
If Γ is a C3 hypersurface in Rn and dσ is induced Lebesgue mea-sure on Γ, then it is well known that...
A necessary condition is established for the optimal $(L^p,L^2)$ restriction theorem to hold on a hy...
We consider a surface with negative curvature in R3, which is a cubic perturbation of the saddle. Fo...
In the first part we consider restriction theorems for hypersurfaces [Gamma] in Rn, with the affine ...
This thesis is concerned with the restriction theory of the Fourier transform. We prove two restrict...
In connection with the restriction problem in Rn for hypersurfaces including the sphere and parabolo...
Let z = w(x, y) represent an embedded (not necessarily simply-connected), compact nonparametric surf...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2019Cataloged from...
23 pages, no figures.-- MSC2000 codes: 53C23, 30F20, 30F45.MR#: MR2273661 (2007j:53046)Zbl#: Zbl 111...
Abstract. In this paper, we mainly investigate non-developable ruled surface in a 3-dimensional Eucl...
AbstractWe obtain bilinear restriction estimates for surfaces with vanishing curvatures. As applicat...
Global COE Program Math-for-Industry Education & Research HubグローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」The m...
If Γ is a C3 hypersurface in Rn and dσ is induced Lebesgue measure on Γ, then it is well known that ...
Abstract. We investigate restriction theorems for hypersurfaces of revolution in R3, with affine cur...
A necessary condition is established for the optimal (Lp, L2) restriction theorem to hold on a hyper...
If Γ is a C3 hypersurface in Rn and dσ is induced Lebesgue mea-sure on Γ, then it is well known that...
A necessary condition is established for the optimal $(L^p,L^2)$ restriction theorem to hold on a hy...
We consider a surface with negative curvature in R3, which is a cubic perturbation of the saddle. Fo...
In the first part we consider restriction theorems for hypersurfaces [Gamma] in Rn, with the affine ...
This thesis is concerned with the restriction theory of the Fourier transform. We prove two restrict...
In connection with the restriction problem in Rn for hypersurfaces including the sphere and parabolo...
Let z = w(x, y) represent an embedded (not necessarily simply-connected), compact nonparametric surf...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2019Cataloged from...
23 pages, no figures.-- MSC2000 codes: 53C23, 30F20, 30F45.MR#: MR2273661 (2007j:53046)Zbl#: Zbl 111...
Abstract. In this paper, we mainly investigate non-developable ruled surface in a 3-dimensional Eucl...
AbstractWe obtain bilinear restriction estimates for surfaces with vanishing curvatures. As applicat...
Global COE Program Math-for-Industry Education & Research HubグローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」The m...
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