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Propagation of uniform Gevrey regularity of solutions to evolution equations

Volume 60 / 2003

Todor Gramchev, Ya-Guang Wang 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.

Authors

  • Todor GramchevDipartimento di Matematica
    Università di Cagliari
    09124 Cagliari, Italy
    e-mail
  • Ya-Guang WangDepartment of Mathematics
    Shanghai Jiao Tong University
    200030 Shanghai
    P. R. China
    e-mail

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