Biinvariant Operators on Nilpotent Lie Groups.
Billiards and boundary traces of eigenfunctions
This is a report on recent results with A. Hassell on quantum ergodicity of boundary traces of eigenfunctions on domains with ergodic billiards, and of work in progress with Hassell and Sogge on norms of boundary traces. Related work by Burq, Grieser and Smith-Sogge is also discussed.
Blow-up and global existence for heat flows of harmonic maps.
Blow-up of solutions to a periodic nonlinear dispersive rod equation.
Blow-up solutions of the self-dual Chern–Simons–Higgs vortex equation
Bohm Aharonov effects for bounded states in the case of systems
Book review. Fučík, S., Nečas, J., Souček, J., Souček, V.: Spectral Analysis of Nonlinear Operators
Borne explicite du nombre de tores plats isopectraux à un tore donné.
Bornes universelles pour des invariants géométriques
Boundaries and the Fatou theorem for subelliptic second order operators on solvable Lie groups
Boundaries of graphs of harmonic functions.
Boundary behaviour for p harmonic functions in Lipschitz and starlike Lipschitz ring domains
Boundary Conditions for the Univalence of N KL-Transformations.
Boundary value problems and layer potentials on manifolds with cylindrical ends
We study the method of layer potentials for manifolds with boundary and cylindrical ends. The fact that the boundary is non-compact prevents us from using the standard characterization of Fredholm or compact pseudo-differential operators between Sobolev spaces, as, for example, in the works of Fabes-Jodeit-Lewis and Kral-Wedland . We first study the layer potentials depending on a parameter on compact manifolds. This then yields the invertibility of the relevant boundary integral operators in the...
Boundary value problems for harmonic and minimal maps of surfaces into manifolds
Boundary value problems for the 2nd-order Seiberg-Witten equations.
Boundary value problems for the stationary Schrödinger equation on Riemannian manifolds.
Boundary values, Fourier-Sato transform and Laplace transform.
Boundary volume and length spectra of Riemannian manifolds: what the middle degree Hodge spectrum doesn't reveal
Let be a -dimensional compact Riemannian manifold. We show that the spectrum of the Hodge Laplacian acting on -forms does not determine whether the manifold has boundary, nor does it determine the lengths of the closed geodesics. Among the many examples are a projective space and a hemisphere that have the same Hodge spectrum on 1- forms, and hyperbolic surfaces, mutually isospectral on 1-forms, with different injectivity radii. The Hodge -spectrum also does not distinguish orbifolds from manifolds....
Bounded almost global solutions for non hamiltonian semi-linear Klein-Gordon equations with radial data on compact revolution hypersurfaces
This paper is devoted to the proof of almost global existence results for Klein-Gordon equations on compact revolution hypersurfaces with non-Hamiltonian nonlinearities, when the data are smooth, small and radial. The method combines normal forms with the fact that the eigenvalues associated to radial eigenfunctions of the Laplacian on such manifolds are simple and satisfy convenient asymptotic expansions.