Propagation of uniform Gevrey regularity of solutions to evolution equations
Volume 60 / 2003
Banach Center Publications 60 (2003), 279-293
MSC: Primary 35B65; Secondary 35G25, 35S05
DOI: 10.4064/bc60-0-22
Abstract
We investigate the propagation of the uniform spatial Gevrey $G^\sigma$, $\sigma \geq 1$, regularity for $t\rightarrow +\infty$ of solutions to evolution equations like generalizations of the Euler equation and the semilinear Schrödinger equation with polynomial nonlinearities. The proofs are based on direct iterative arguments and nonlinear Gevrey estimates.
