147 citations · 733 across the 37 of their papers we have counts for
5 papers · 1 filter
Initial value problems for wave equations on manifolds
Christian Baer, Roger Tagne Wafo
We study the global theory of linear wave equations for sections of vector bundles over globally hyperbolic Lorentz manifolds. We introduce spaces of finite energy sections and sho…
Some properties of solutions to weakly hypoelliptic equations
Christian Baer
A linear different operator L is called weakly hypoelliptic if any local solution u of Lu=0 is smooth. We allow for systems, that is, the coefficients may be matrices, not necessar…
Linear Wave Equations on Lorentzian Manifolds
Christian Baer
This is a survey on the analytic theory of linear wave equations on globally hyperbolic Lorentzian manifolds. There is no claim of originality.
Path integrals on manifolds by finite dimensional approximation
Christian Baer, Frank Pfaeffle
Let M be a compact Riemannian manifold without boundary and let H be a self-adjoint generalized Laplace operator acting on sections in a bundle over M. We give a path integral form…
Zero Sets of Solutions to Semilinear Elliptic Systems of First Order
Christian Baer
Consider a nontrivial solution to a semilinear elliptic system of first order with smooth coefficients defined over an -dimensional manifold. Assume the operator has the strong…