We give a globalization of the comparison principle for parabolic PDEs by using Morse theory on spaces of braids. This leads to applications in Lagrangian systems and a homotopy index for certain braid pairs.
Thursday, October 4, 2001 - 4:30pm
Georgia Tech
We give a globalization of the comparison principle for parabolic PDEs by using Morse theory on spaces of braids. This leads to applications in Lagrangian systems and a homotopy index for certain braid pairs.