✦ LIBER ✦

Global solutions of the cauchy problem for a nonhomogeneous quasilinear hyperbolic system

✍ Scribed by Ying Lung-An; Wang Ching-Hua

Publisher: John Wiley and Sons
Year: 1980
Tongue: English
Weight: 503 KB
Volume: 33
Category: Article
ISSN: 0010-3640
DOI: 10.1002/cpa.3160330502

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The Cauchy problem for quasilinear SG-hy

The Cauchy problem for quasilinear SG-hyperbolic systems

✍ Marco Cappiello; Luisa Zanghirati 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 187 KB

## Abstract We study the Cauchy problem for a class of quasilinear hyperbolic systems with coefficients depending on (__t__, __x__) ∈ [0, __T__ ] × ℝ^__n__^ and presenting a linear growth for |__x__ | → ∞. We prove well‐posedness in the Schwartz space __𝒮__ (ℝ^__n__^ ). The result is obtained by d

One system of quasilinear hyperbolic equ

One system of quasilinear hyperbolic equations: Uniqueness and global solvability of the Cauchy problem

✍ Andrzej Łada 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 465 KB

Solutions in the large for nonhomogeneou

Solutions in the large for nonhomogeneous quasilinear hyperbolic systems of equations

✍ Ying Lung-an; Wang Ching-hua 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 615 KB

Generalized Solutions to a Cauchy Proble

Generalized Solutions to a Cauchy Problem for a Nonconservative Hyperbolic System

✍ K.T. Joseph 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 323 KB

In this paper we show the existence of generalized solutions, in the sense of Colombeau, to a Cauchy problem for a nonconservative system of hyperbolic equations, which has applications in elastodynamics.

Point-wise decay estimate for the global

Point-wise decay estimate for the global classical solutions to quasilinear hyperbolic systems

✍ Yi Zhou 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 102 KB

## Abstract In this paper, we first consider the Cauchy problem for quasilinear strictly hyperbolic systems with weak linear degeneracy. The existence of global classical solutions for small and decay initial data was established in (__Commun. Partial Differential Equations__ 1994; **19**:1263–1317

A Remark on the Global Solvability of th

A Remark on the Global Solvability of the Cauchy Problem for Quasilinear Parabolic Equations

✍ Aris S. Tersenov 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 81 KB

The present paper is concerned with the global solvability of the Cauchy problem for the quasilinear parabolic equations with two independent variables: Ž . Ž . u s a t, x, u, u u q f t, x, u, u . We investigate the case of the arbitrary order < < of growth of the function f t, x, u, p with respect