Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Zuily, Claude"'
We prove an interpolation theorem for nonlinear functionals defined on scales of Banach spaces that generalize Besov spaces. It applies to functionals defined only locally, requiring only some weak Lipschitz conditions, extending those introduced by
Externí odkaz:
http://arxiv.org/abs/2410.06909
Autor:
Burq, Nicolas, Zuily, Claude
We prove the sharp domain of dependence property for solutions to subelliptic wave equations for sums of squares of vector fields satisfying H\"ormander bracket condition. We deduce a unique continuation property for the square root of subelliptic La
Externí odkaz:
http://arxiv.org/abs/2309.05992
Autor:
Alazard, Thomas, Zuily, Claude
We study several different aspects of the energy equipartition principle for water waves. We prove a virial identity that implies that the potential energy is equal, on average, to a modified version of the kinetic energy. This is an exact identity f
Externí odkaz:
http://arxiv.org/abs/2304.07872
Autor:
Burq, Nicolas, Zuily, Claude
The question of unique continuation of harmonic functions in a domain $\Omega$ $\subset$ R d with boundary $\partial$$\Omega$, satisfying Dirichlet boundary conditions and with normal derivatives vanishing on a subset $\omega$ of the boundary is a cl
Externí odkaz:
http://arxiv.org/abs/2110.14282
Autor:
Burq, Nicolas, Zuily, Claude
The purpose of this short note is to show how it is possible to combine existing results in the literature to get the unique continuation from sets of positive measure for time dependent parabolic equations with Lipschitz principal part and bounded l
Externí odkaz:
http://arxiv.org/abs/2010.16161
In this paper we consider the Cauchy problem for gravity water waves, in a domain with a flat bottom and in arbitrary space dimension. We prove that if the data are of size $\varepsilon$ in a space of analytic functions which have a holomorphic exten
Externí odkaz:
http://arxiv.org/abs/2007.08329
Autor:
Zuily, Claude
We show that resonant states in scattering on asymptotically hyperbolic man-ifolds that are analytic near conformal infinity, have analytic radiation patterns at infinity. On even asymptotically hyperbolic manifolds we also show that smooth solutions
Externí odkaz:
http://arxiv.org/abs/1611.10250
Autor:
Burq, N, Zuily, Claude
- The purpose of this article is to study possible concentrations of eigenfunc-tions of Laplace operators (or more generally quasi-modes) on product manifolds. We show that the approach of the first author and Zworski [10, 11] applies (modulo rescall
Externí odkaz:
http://arxiv.org/abs/1503.05513
Autor:
Burq, N., Zuily, Claude
- In this article, we prove some universal bounds on the speed of concentration on small (frequency-dependent) neighborhoods of submanifolds of L 2-norms of quasi modes for Laplace operators on compact manifolds. We deduce new results on the rate of
Externí odkaz:
http://arxiv.org/abs/1503.02058
Autor:
ALAZARD, THOMAS, ZUILY, CLAUDE
Publikováno v:
SIAM Journal on Mathematical Analysis; 2024, Vol. 56 Issue 4, p5285-5329, 45p
