Abstract
This paper investigates the solvability of initial boundary value problem for a quasilinear hyperbolic-parabolic system which consists of a transport equation and strongly parabolic system. The characteristics of the transport equation are assumed to be outward on the boundary of the domain. The unique local (in time) existence of solutions is shown in the class of continuous functions with values in Hs, where s is an integer satisfying s > [n/2]+1.
| Original language | English |
|---|---|
| Pages (from-to) | 195-232 |
| Number of pages | 38 |
| Journal | Journal of Hyperbolic Differential Equations |
| Volume | 3 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2006 Jun 1 |
| Externally published | Yes |
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Keywords
- Initial boundary value problem
- Local solvability
- Quasilinear hyperbolic-parabolic system
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
Cite this
Local solvability of an initial boundary value problem for a quasilinear hyperbolic-parabolic system. / Kagei, Yoshiyuki; Kawashima, Shuichi.
In: Journal of Hyperbolic Differential Equations, Vol. 3, No. 2, 01.06.2006, p. 195-232.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Local solvability of an initial boundary value problem for a quasilinear hyperbolic-parabolic system
AU - Kagei, Yoshiyuki
AU - Kawashima, Shuichi
PY - 2006/6/1
Y1 - 2006/6/1
N2 - This paper investigates the solvability of initial boundary value problem for a quasilinear hyperbolic-parabolic system which consists of a transport equation and strongly parabolic system. The characteristics of the transport equation are assumed to be outward on the boundary of the domain. The unique local (in time) existence of solutions is shown in the class of continuous functions with values in Hs, where s is an integer satisfying s > [n/2]+1.
AB - This paper investigates the solvability of initial boundary value problem for a quasilinear hyperbolic-parabolic system which consists of a transport equation and strongly parabolic system. The characteristics of the transport equation are assumed to be outward on the boundary of the domain. The unique local (in time) existence of solutions is shown in the class of continuous functions with values in Hs, where s is an integer satisfying s > [n/2]+1.
KW - Initial boundary value problem
KW - Local solvability
KW - Quasilinear hyperbolic-parabolic system
UR - http://www.scopus.com/inward/record.url?scp=34748897181&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34748897181&partnerID=8YFLogxK
U2 - 10.1142/S0219891606000768
DO - 10.1142/S0219891606000768
M3 - Article
AN - SCOPUS:34748897181
VL - 3
SP - 195
EP - 232
JO - Journal of Hyperbolic Differential Equations
JF - Journal of Hyperbolic Differential Equations
SN - 0219-8916
IS - 2
ER -