Propagation of uniform Gevrey regularity 
of solutions  to evolution equations

Todor Gramchev; Ya-Guang Wang

doi:10.4064/bc60-0-22

Instytut Matematyczny Polskiej Akademii Nauk / pl / Wydawnictwa / Banach Center Publications / Wszystkie tomy

Propagation of uniform Gevrey regularity of solutions to evolution equations

Tom 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

Streszczenie

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.

Autorzy

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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