Add to ORKGAbstract. We use microlocal and paradifferential techniques to obtain L8 norm bounds for spectral clusters associated to elliptic second order operators on two-dimensional manifolds with boundary. The result leads to optimal Lq bounds, in the range 2 ≤ q ≤ ∞, for L2-normalized spectral clusters on bounded domains in the plane and, more generally, for two-dimensional compact manifolds with boundary. We also establish new sharp Lq estimates in higher dimensions for a range of exponents qn ≤ q ≤ ∞. 1
Following Hartigan (1975), a cluster is defined as a connected component of the t-level set of the u...
Abstract. We establish L2 → Lq mapping bounds for unit-width spectral projectors associated to ellip...
We investigate norms of spectral projectors on thin spherical shells for the Laplacian on tori. This...
Abstract. We establish Lq bounds on eigenfunctions, and more generally on spectrally localized funct...
Abstract. We prove bilinear and trilinear estimates for the spectral cluster operator on two and thr...
Abstract. We establish Lp bounds on L2 normalized spectral clusters for self-adjoint elliptic Dirich...
Abstract. We establish Lp bounds on L2 normalized spectral clusters for self-adjoint elliptic Dirich...
Abstract. In this paper, we establish Lp norm bounds for spectral clusters on com-pact manifolds, un...
Abstract. In this paper, we establish Lp norm bounds for spectral clusters on compact manifolds, und...
AbstractIn this paper we study the (Lp, L2) mapping properties of a spectral projection operator for...
Published Online: 2013-04-03Let (M,g) be a compact, boundaryless manifold of dimension n with the pr...
We prove sharp L-2 boundary decay estimates for the eigenfunctions of certain second order elliptic ...
We prove essentially optimal bounds for norms of spectral projectors on thin spherical shells for th...
summary:Bounds on the spectrum of the Schur complements of subdomain stiffness matrices with respect...
We prove uniform Lpestimates for resolvents of higher order elliptic self-adjoint differential opera...
Following Hartigan (1975), a cluster is defined as a connected component of the t-level set of the u...
Abstract. We establish L2 → Lq mapping bounds for unit-width spectral projectors associated to ellip...
We investigate norms of spectral projectors on thin spherical shells for the Laplacian on tori. This...
Abstract. We establish Lq bounds on eigenfunctions, and more generally on spectrally localized funct...
Abstract. We prove bilinear and trilinear estimates for the spectral cluster operator on two and thr...
Abstract. We establish Lp bounds on L2 normalized spectral clusters for self-adjoint elliptic Dirich...
Abstract. We establish Lp bounds on L2 normalized spectral clusters for self-adjoint elliptic Dirich...
Abstract. In this paper, we establish Lp norm bounds for spectral clusters on com-pact manifolds, un...
Abstract. In this paper, we establish Lp norm bounds for spectral clusters on compact manifolds, und...
AbstractIn this paper we study the (Lp, L2) mapping properties of a spectral projection operator for...
Published Online: 2013-04-03Let (M,g) be a compact, boundaryless manifold of dimension n with the pr...
We prove sharp L-2 boundary decay estimates for the eigenfunctions of certain second order elliptic ...
We prove essentially optimal bounds for norms of spectral projectors on thin spherical shells for th...
summary:Bounds on the spectrum of the Schur complements of subdomain stiffness matrices with respect...
We prove uniform Lpestimates for resolvents of higher order elliptic self-adjoint differential opera...
Following Hartigan (1975), a cluster is defined as a connected component of the t-level set of the u...
Abstract. We establish L2 → Lq mapping bounds for unit-width spectral projectors associated to ellip...
We investigate norms of spectral projectors on thin spherical shells for the Laplacian on tori. This...