Speaker:
Andras Vasy
Institution:
Stanford University
Time:
Tuesday, February 28, 2012 - 2:00pm to 3:00pm
Location:
RH 306
Waves reflecting/refracting/transmitting from singularities of a metric (e.g. sound speed) satisfy the law of reflection. One expects that if the singularities are sufficiently weak, in terms of differentiability (conormal order) then the reflected singularity is weaker than the transmitted one, in the sense that it is more regular. In this joint work with Maarten de Hoop and Gunther Uhlmann we prove such a result with slightly more regular than C^1 metrics.