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Global Existence of Small Solutions for Cubic Quasi-linear Klein-Gordon Systems in one Space Dimension
Cubic Quasi-linear Klein--Gordon systems One space dimension Global existence Asym-ptotic behavior
2007/12/12
In this paper, we consider a system of two cubic quasi-linear Klein--Gordon equations with different masses for small, smooth, compactly supported Cauchy data in one space dimension. We show that such...
A Quasi-Linear Manifolds and Quasi-Linear Mapping Between Them
Quasi-Linear Manifolds Quasi-Linear Mapping
2010/2/26
In this article a special class of Banach manifolds (called QL-manifolds) and mapping between them (QL-mappings) are introduced and some examples are given.
Generalized Solutions of a Class of Linear and Quasi-Linear Degenerated Hyperbolic Equations
Linear Quasi-Linear Degenerated Hyperbolic Equations
2010/3/3
The equation L(u):=k(y)uxx-\partialy(\ell(y)uy)+r(x,y)u=f(x,y,u), where k(y)>0, \ell(y)>0 for y>0,k(0)=\ell(0)=0 and limy\rightarrow 0k(y)/\ell(y) exists, is strictly hyperbolic for y>0 and its order ...