On the asymptotic boundedness of the energy of solutions of the wave equation u tt − a(t)Δu = 0
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s11565-012-0148-6.pdf
Reference8 articles.
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2. Hirosawa F., Wirth J.: Generalized energy conservation law for wave equations with variable propagation speed. J. Math. Anal. Appl. 358, 56–74 (2009)
3. Hörmander L.: Lectures on Nonlinear Hyperbolic Differential Equations. Springer, Berlin (1997)
4. Manfrin R.: Quadratic forms for the Liouville equation w tt + |ξ|2 a(t)w = 0 with applications to Kirchoff equation. Port. Math. 65(4), 447–484 (2008)
5. Manfrin R.: On the boundedness of solutions of the equation u′′ + (1 + f(t))u = 0. Discret. Contin. Dyn. Syst. 23(3), 991–1008 (2009)
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