Asymptotic Behavior of Solutions Toward a Multiwave Pattern to the Cauchy Problem for the Dissipative Wave Equation with Partially Linearly Degenerate Flux

Author:

Yoshida Natsumi12

Affiliation:

1. Ritsumeikan University

2. Doshisha University

Publisher

Division of Functional Equations, The Mathematical Society of Japan (JST)

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference20 articles.

1. [1] Hashimoto, I. and Matsumura, A., Large time behavior of solutions to an initial boundary value problem on the half space for scalar viscous conservation law, Methods Appl. Anal., 14 (2007), 45-59.

2. [2] Hashimoto, I. and Ueda, Y., Asymptotic behavior of solutions for damped wave equations with non-convex convection term on the half line, Osaka J. Math., 49 (2012), 37-52.

3. [3] Hashimoto, I. and Ueda, Y., The anti-derivative method in the half space and application to damped wave equations with non-convex convection, Kyushu J. Math., 66 (2012), 479-492.

4. [4] Il'in, A. M. and Oleĭnik, O. A., Asymptotic behavior of the solutions of the Cauchy problem for some quasi-linear equations for large values of the time, Mat. Sb., 51 (1960), 191-216 (in Russian).

5. [5] Kawashima, S. and Ueda, Y., Large time behavior of solutions to a semilinear hyperbolic system with relaxation, J. Hyperbolic Differ. Equ., 4 (2007), 147-179.

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