Exponential growth for wave equation with fractional boundary dissipation and boundary source term

Author:

Dai Huiya,Zhang Hongwei

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Reference25 articles.

1. Bajlekova, EG: Fractional Evolution Equations in Banach Spaces. Dissertation, Eindhoven University of Technology, Eindhoven (2001)

2. Mbodje B: Wave energy decay under fractional derivative controls. IMA J. Math. Control Inf. 2006, 237: 237-257.

3. Vitillaro E: Some new results on global nonexistence and blow up for evolution problem with positive initial energy. Rend. Ist. Mat. Univ. Trieste 2000, 31(2):245-275.

4. Vitillaro E: Global existence for the wave equation with boundary damping and source terms. J. Differ. Equ. 2002, 186: 259-298. 10.1016/S0022-0396(02)00023-2

5. Zhang HW, Hu QY: Asymptotic behavior and nonexistence of wave equation with nonlinear boundary conditions. Commun. Pure Appl. Anal. 2005, 4(4):861-869. 10.3934/cpaa.2005.4.861

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