$$\varvec{L^1-L^1}$$ L 1 - L 1 estimates for a doubly dissipative semilinear wave equation
Author:
Funder
Istituto Nazionale di Alta Matematica "Francesco Severi”
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00030-016-0428-4.pdf
Reference17 articles.
1. D’Abbicco, M.: A benefit from the $$L^1$$ L 1 smallness of initial data for the semilinear wave equation with structural damping. In: Mityushev, V., Ruzhansky, M. (eds.) Current Trends in Analysis and its Applications, 2015. Proceedings of the 9th ISAAC Congress, Krakow, pp. 209–216. http://www.springer.com/br/book/9783319125763
2. D’Abbicco, M., Ebert, M.R.: An application of $$L^p-L^q$$ L p - L q decay estimates to the semilinear wave equation with parabolic-like structural damping. Nonlinear Anal. 99, 16–34 (2014). doi: 10.1016/j.na.2013.12.021
3. D’Abbicco, M., Ebert, M.R.: A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations. Nonlinear Anal. 149, 1–40 (2017). doi: 10.1016/j.na.2016.10.010
4. D’Abbicco, M., Reissig, M.: Semilinear structural damped waves. Math. Methods Appl. Sci. 37, 1570–1592 (2014). doi: 10.1002/mma.2913
5. D’Ambrosio, L., Lucente, S.: Nonlinear Liouville theorems for Grushin and Tricomi operators. J. Differ. Equ. 123, 511–541 (2003)
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