Propagation of uniform Gevrey regularity of solutions to evolution equations

Todor Gramchev; Ya-Guang Wang

Banach Center Publications (2003)

  • Volume: 60, Issue: 1, page 279-293
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Todor Gramchev, and Ya-Guang Wang. "Propagation of uniform Gevrey regularity of solutions to evolution equations." Banach Center Publications 60.1 (2003): 279-293. <http://eudml.org/doc/282540>.

@article{TodorGramchev2003,
abstract = {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.},
author = {Todor Gramchev, Ya-Guang Wang},
journal = {Banach Center Publications},
keywords = {generalizations of the Euler equation; semilinear Schrödinger equation; nonlinear Gevrey estimates},
language = {eng},
number = {1},
pages = {279-293},
title = {Propagation of uniform Gevrey regularity of solutions to evolution equations},
url = {http://eudml.org/doc/282540},
volume = {60},
year = {2003},
}

TY - JOUR
AU - Todor Gramchev
AU - Ya-Guang Wang
TI - Propagation of uniform Gevrey regularity of solutions to evolution equations
JO - Banach Center Publications
PY - 2003
VL - 60
IS - 1
SP - 279
EP - 293
AB - 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.
LA - eng
KW - generalizations of the Euler equation; semilinear Schrödinger equation; nonlinear Gevrey estimates
UR - http://eudml.org/doc/282540
ER -

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