Concepedia

The Lp–Lq estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media

Pierangelo Marcati, Kenji Nishihara

Journal of Differential Equations · 2003 · 162 citations · 19 references

DOI

Concepts

References

19

Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping

Ling Hsiao, Tai-Ping Liu · Communications in Mathematical Physics · 1992 · 387 citations

, , +14

Global existence of small solutions to a class of nonlinear evolution equations

Gustavo Ponce · Nonlinear Analysis · 1985 · 335 citations

, , +14

L p -L q estimates of solutions to the damped wave equation in 3-dimensional space and their application

Kenji Nishihara · Mathematische Zeitschrift · 2003 · 274 citations

, , +12

Convergence Rates to Nonlinear Diffusion Waves for Solutions of System of Hyperbolic Conservation Laws with Damping

Kenji Nishihara · Journal of Differential Equations · 1996 · 207 citations

, , +16

L-Convergence Rate to Nonlinear Diffusion Waves for p-System with Damping

Kenji Nishihara, Weike Wang, Tong Yang · Journal of Differential Equations · 2000 · 140 citations

, , +12