A new type of solutions for a singularly perturbed elliptic Neumann problem.
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Asymptotic expansion in time of the Schrödinger group on conical manifolds
Xue Ping Wang (2006)
Annales de l’institut Fourier
For Schrödinger operator on Riemannian manifolds with conical end, we study the contribution of zero energy resonant states to the singularity of the resolvent of near zero. Long-time expansion of the Schrödinger group is obtained under a non-trapping condition at high energies.
Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles
Robert Berman, Johannes Sjöstrand (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
In this paper we obtain the full asymptotic expansion of the Bergman-Hodge kernel associated to a high power of a holomorphic line bundle with non-degenerate curvature. We also explore some relations with asymptotic holomorphic sections on symplectic manifolds.
Asymptotics of holomorphic sections of powers of a positive line bundle
Steve Zelditch (1997/1998)
Séminaire Équations aux dérivées partielles
Averaging method for differential equations perturbed by dynamical systems
Françoise Pène (2002)
ESAIM: Probability and Statistics
In this paper, we are interested in the asymptotical behavior of the error between the solution of a differential equation perturbed by a flow (or by a transformation) and the solution of the associated averaged differential equation. The main part of this redaction is devoted to the ascertainment of results of convergence in distribution analogous to those obtained in [10] and [11]. As in [11], we shall use a representation by a suspension flow over a dynamical system. Here, we make an assumption...
Averaging method for differential equations perturbed by dynamical systems
Françoise Pène (2010)
ESAIM: Probability and Statistics
In this paper, we are interested in the asymptotical behavior of the error between the solution of a differential equation perturbed by a flow (or by a transformation) and the solution of the associated averaged differential equation. The main part of this redaction is devoted to the ascertainment of results of convergence in distribution analogous to those obtained in [10] and [11]. As in [11], we shall use a representation by a suspension flow over a dynamical system. Here, we make an assumption...
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