Global well-posedness and blow up for the nonlinear fractional beam equations

Shouquan Ma, and Guixiang Xu. "Global well-posedness and blow up for the nonlinear fractional beam equations." Applicationes Mathematicae 37.3 (2010): 353-373. <http://eudml.org/doc/279877>.

@article{ShouquanMa2010,
abstract = {We establish the Strichartz estimates for the linear fractional beam equations in Besov spaces. Using these estimates, we obtain global well-posedness for the subcritical and critical defocusing fractional beam equations. Of course, we need to assume small initial data for the critical case. In addition, by the convexity method, we show that blow up occurs for the focusing fractional beam equations with negative energy.},
author = {Shouquan Ma, Guixiang Xu},
journal = {Applicationes Mathematicae},
keywords = {linear fractional beam equation; Strichartz estimates; blow up},
language = {eng},
number = {3},
pages = {353-373},
title = {Global well-posedness and blow up for the nonlinear fractional beam equations},
url = {http://eudml.org/doc/279877},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Shouquan Ma
AU - Guixiang Xu
TI - Global well-posedness and blow up for the nonlinear fractional beam equations
JO - Applicationes Mathematicae
PY - 2010
VL - 37
IS - 3
SP - 353
EP - 373
AB - We establish the Strichartz estimates for the linear fractional beam equations in Besov spaces. Using these estimates, we obtain global well-posedness for the subcritical and critical defocusing fractional beam equations. Of course, we need to assume small initial data for the critical case. In addition, by the convexity method, we show that blow up occurs for the focusing fractional beam equations with negative energy.
LA - eng
KW - linear fractional beam equation; Strichartz estimates; blow up
UR - http://eudml.org/doc/279877
ER -