Invariance of the Fredholm radius of an operator in potential theory
Invariance of the Fredholm radius of the Neumann operator
Invariance of the Gibbs measure for the Benjamin–Ono equation
In this paper we consider the periodic Benjemin-Ono equation.We establish the invariance of the Gibbs measure associated to this equation, thus answering a question raised in Tzvetkov [28]. As an intermediate step, we also obtain a local well-posedness result in Besov-type spaces rougher than , extending the well-posedness result of Molinet [20].
Invariance par difféomorphisme d'espace de Sobolev. Espace de Sobolev d'une variété. Applications
Invariant Eigendistributions on the Tangent Space of a Rank One Semisimple Symmetrie Space.
Invariant Hilbert spaces of holomorphic functions.
Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation.
Invariant manifolds and almost automorphic solutions of second-order monotone equations
Invariant manifolds and alternative approaches to reduce perturbation theory: Dissipative systems.
Invariant manifolds for one-dimensional parabolic partial differential equations of second order
Invariant measure for some differential operators and unitarizing measure for the representation of a Lie group. Examples in finite dimension
Consider a Lie group with a unitary representation into a space of holomorphic functions defined on a domain 𝓓 of ℂ and in L²(μ), the measure μ being the unitarizing measure of the representation. On finite-dimensional examples, we show that this unitarizing measure is also the invariant measure for some differential operators on 𝓓. We calculate these operators and we develop the concepts of unitarizing measure and invariant measure for an OU operator (differential operator associated to...
Invariant measures and long-time behavior for the Benjamin-Ono equation
We summarize the main ideas in a series of papers ([20], [21], [22], [5]) devoted to the construction of invariant measures and to the long-time behavior of solutions of the periodic Benjamin-Ono equation.
Invariant measures for Burgers equation with stochastic forcing.
Invariant measures for stochastic Cauchy problems with asymptotically unstable drift semigroup.
Invariant measures for the defocusing Nonlinear Schrödinger equation
We prove the existence and the invariance of a Gibbs measure associated to the defocusing sub-quintic Nonlinear Schrödinger equations on the disc of the plane . We also prove an estimate giving some intuition to what may happen in dimensions.
Invariant prolongation of BGG-operators in conformal geometry
BGG-operators form sequences of invariant differential operators and the first of these is overdetermined. Interesting equations in conformal geometry described by these operators are those for Einstein scales, conformal Killing forms and conformal Killing tensors. We present a deformation procedure of the tractor connection which yields an invariant prolongation of the first operator. The explicit calculation is presented in the case of conformal Killing forms.
Invariant pseudo-differential operators on a Lie group
Invariant Rectangles and Strongly Coupled Semilinear Parabolic.
Invariant regions and global existence of solutions for reaction-diffusion systems with a tridiagonal matrix of diffusion coefficients and nonhomogeneous boundary conditions.
Invariant regions associated with quasilinear damped wave equations