THE ANTI-DERIVATIVE METHOD IN THE HALF SPACE AND APPLICATION TO DAMPED WAVE EQUATIONS WITH NON-CONVEX CONVECTION-Reference-Cited by-同舟云学术

THE ANTI-DERIVATIVE METHOD IN THE HALF SPACE AND APPLICATION TO DAMPED WAVE EQUATIONS WITH NON-CONVEX CONVECTION

Published:2012 Issue:2 Volume:66 Page:479-492
ISSN:1340-6116
Container-title:Kyushu Journal of Mathematics
language:en
Short-container-title:Kyushu J. Math.

Author:

HASHIMOTO Itsuko,UEDA Yoshihiro

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Link

https://www.jstage.jst.go.jp/article/kyushujm/66/2/66_479/_pdf

Reference13 articles.

1. [1] I. Hashimoto and A. Matsumura. Large time behavior of solutions to an initial boundary value problem on the half line for scalar viscous conservation law. Methods Appl. Anal. 14 (2007), 45-60.

2. [2] I. Hashimoto and Y. Ueda. Asymptotic behavior of solutions for damped wave equations with general convection term on the half line. Osaka J. Math. To appear.

3. [3] S. Kawashima and A. Matsumura. Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion. Comm. Math. Phys. 101 (1985), 97-127.

4. [4] S.Kawashima and A. Matsumura. Stability of shock profiles in viscoelasticity with non-convex constitutive relations. Comm. Pure Appl. Math. 47 (1994), 1547-1569.

5. [5] T.-P. Liu, A. Matsumura and K. Nishihara. Behaviors of solutions for the Burgers equation with boundary corresponding to rarefaction waves. SIAMJ. Math. Anal. 29 (1998), 293-308.

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