Gevrey regularity for nonlinear analytic parabolic equations Academic Article uri icon

abstract

  • It is shown that the solutions of a certain class of nonlinear parabolic partial differential equations in periodic cubes of Rn with analytic nonlinearity are in a certain Gevrey class for small t > 0, provided they are initially in the appropriate Sobolev space. Similar results hold in all of Rn as well.

author list (cited authors)

  • Ferrari, A. B., & Titi, E. S.

publication date

  • December 1998