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

• Autorzy: Shouquan Ma , Guixiang Xu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35G25: Initial value problems for nonlinear higher-order equations
• 35B44: Blow-up

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2010
• Tom: 37
• Numer: 3
• Strony: 353-373

Daty

wydano

2010

Twórcy

autor

Shouquan Ma

• Graduate School, China Academy of Engineering Physics, P.O. Box 2101, Beijing, China, 100088

autor

Guixiang Xu

• Institute of Applied Physics, and Computational Mathematics, P.O. Box 8009, Beijing, China, 100088

Identyfikatory

DOI

10.4064/am37-3-6