Propagation of uniform Gevrey regularity of solutions to evolution equations

• Autorzy: Todor Gramchev , Ya-Guang Wang
• Języki publikacji: EN

Abstrakty

EN

We investigate the propagation of the uniform spatial Gevrey $G^σ$, σ ≥ 1, regularity for t → +∞ 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.

Kategorie tematyczne

• 35G25: Initial value problems for nonlinear higher-order equations
• 35B65: Smoothness and regularity of solutions
• 35S05: Pseudodifferential operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 60
• Numer: 1
• Strony: 279-293

Daty

wydano

2003

Twórcy

autor

Todor Gramchev

• Dipartimento di Matematica, Università di Cagliari, 09124 Cagliari, Italy

autor

Ya-Guang Wang

• Department of Mathematics, Shanghai Jiao Tong University, 200030 Shanghai, P. R. China

Identyfikatory

DOI

10.4064/bc60-0-22