Higher order asymptotic expansions to the solutions for a nonlinear damped wave equation-Reference-Cited by-同舟云学术

Higher order asymptotic expansions to the solutions for a nonlinear damped wave equation

Published:2016-09-21 Issue:5 Volume:23 Page:
ISSN:1021-9722
Container-title:Nonlinear Differential Equations and Applications NoDEA
language:en
Short-container-title:Nonlinear Differ. Equ. Appl.

Author:

Kawakami Tatsuki,Takeda Hiroshi^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00030-016-0408-8.pdf

Reference44 articles.

1. Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Dover Publications Inc., New York (1992) (reprint of the 1972 edition)

2. Bellout H., Friedman A.: Blow-up estimates for a nonlinear hyperbolic heat equation. SIAM J. Math. Anal. 20, 354–366 (1989)

3. Courant, R., Hilbert, D.: Methods of Mathematical Physics II. Wiley, New York (1989)

4. D’Abbicco M., Ebert M.R.: An application of L p –L q decay estimates to the semi-linear wave equation with parabolic-like structural damping. Nonlinear Anal. 99, 16–34 (2014)

5. D’Abbicco M., Ebert M.R.: Diffusion phenomena for the wave equation with structural damping in the L p -L q framework. J. Differ. Equ. 256, 2307–2336 (2014)

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The effect of inhomogeneous terms for asymptotic profiles of solutions to second-order abstract evolution equations with time-dependent dissipation;Journal of Mathematical Analysis and Applications;2025-02

2. Decay property of solutions to the wave equation with space‐dependent damping, absorbing nonlinearity, and polynomially decaying data;Mathematical Methods in the Applied Sciences;2023-01-06

3. Weighted estimates and large time behavior of small amplitude solutions to the semilinear heat equation;Differential Equations & Applications;2023

4. Decay character and estimates for the damped wave equation;Journal of Mathematical Analysis and Applications;2022-02

5. Unconditional small data global well-posedness for nonlinear beam equations with weak damping;Nonlinear Analysis: Real World Applications;2018-06