Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Hart F. Smith"'
Autor:
Hart F. Smith
Publikováno v:
The Journal of Geometric Analysis. 31:6766-6780
We establish $$L^{q*}\rightarrow L^q$$ bounds for the resolvent of the Laplacian on compact Riemannian manifolds assuming only that the sectional curvatures of the manifold are uniformly bounded. When the resolvent parameter lies outside a parabolic
Autor:
Hart F. Smith
Publikováno v:
Transactions of the American Mathematical Society. 371:3857-3875
Autor:
Hart F. Smith
Publikováno v:
Anal. PDE 13, no. 8 (2020), 2375-2398
We demonstrate a parametrix construction, together with associated pseudodifferential operator calculus, for an operator of sum-of-squares type with semiclassical parameter. The form of operator we consider includes the generator of kinetic Brownian
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9796fef6033d6a0999ca4da825aa2a6
https://projecteuclid.org/euclid.apde/1611284419
https://projecteuclid.org/euclid.apde/1611284419
Autor:
Hart F. Smith, Yuanlong Chen
Publikováno v:
Pure Appl. Anal. 1, no. 1 (2019), 101-148
We establish space-time dispersive estimates for solutions to the wave equation on compact Riemannian manifolds with bounded sectional curvature, with the same exponents as for $C^\infty$ metrics. The estimates are for bounded time intervals, so by f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75cce1e0a0c35f1a873a3b7505142a8c
https://projecteuclid.org/euclid.paa/1549297979
https://projecteuclid.org/euclid.paa/1549297979
Publikováno v:
American Journal of Mathematics. 136:1629-1663
We establish $L^p$ bounds on $L^2$ normalized spectral clusters for self-adjoint elliptic Dirichlet forms with Lipschitz coefficients. In two dimensions we obtain best possible bounds for all $2\le p\le\infty$, up to logarithmic losses for $6
Publikováno v:
Applied and Computational Harmonic Analysis. 33(3):330-353
We present a multi-scale solution scheme for hyperbolic evolution equations with curvelets. We assume, essentially, that the second-order derivatives of the symbol of the evolution operator are uniformly Lipschitz. The scheme is based on a solution c
Publikováno v:
ResearcherID
We establish the Strauss conjecture for nontrapping obstacles when the spatial dimension $n$ is two. As pointed out in \cite{HMSSZ} this case is more subtle than $n=3$ or 4 due to the fact that the arguments of the first two authors \cite{SmSo00}, Bu
Publikováno v:
Mathematische Annalen. 354:1397-1430
We establish Strichartz estimates for the Schrodinger equation on Riemannian manifolds (Ω, g) with boundary, for both the compact case and the case that Ω is the exterior of a smooth, non-trapping obstacle in Euclidean space. The estimates for exte
Publikováno v:
Communications in Partial Differential Equations. 36:1683-1693
We establish a decoupling result for the P and S waves of linear, isotropic elasticity, in the setting of twice-differentiable Lame parameters. Precisely, we show that the P↔S components of the wave propagation operator are regularizing of order on
Publikováno v:
Communications in Partial Differential Equations. 33:988-1017
We discuss how techniques from multiresolution analysis and phase space transforms can be exploited in solving a general class of evolution equations with limited smoothness. We have wave propagati...