Suppose that the two eigenvalues of system （0.1） are λ<sub>1</sub>（u, v）, λ<sub>2</sub>（u, v）, the corres-ponding Riemann invariants are w=w（u, v）, z=z（u, v）, and w=w（u, v）, z=z（...Suppose that the two eigenvalues of system （0.1） are λ<sub>1</sub>（u, v）, λ<sub>2</sub>（u, v）, the corres-ponding Riemann invariants are w=w（u, v）, z=z（u, v）, and w=w（u, v）, z=z（u, v） give a bijective smooth mapping from （u, v） plane onto （w, z） plane. Throughout this note, we always suppose that A<sub>1</sub> u<sub>0</sub>（x）, v<sub>0</sub>（x） are bounded measurable functions. A<sub>2</sub> λ<sub>1</sub>（u, v）, λ<sub>2</sub>（u, v）∈C<sup>1</sup> and system （0.1） are strictly hyperbolic, i.e. λ<sub>1</sub>（u, v）【λ<sub>2</sub>（u, v）.展开更多
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文摘Suppose that the two eigenvalues of system （0.1） are λ<sub>1</sub>（u, v）, λ<sub>2</sub>（u, v）, the corres-ponding Riemann invariants are w=w（u, v）, z=z（u, v）, and w=w（u, v）, z=z（u, v） give a bijective smooth mapping from （u, v） plane onto （w, z） plane. Throughout this note, we always suppose that A<sub>1</sub> u<sub>0</sub>（x）, v<sub>0</sub>（x） are bounded measurable functions. A<sub>2</sub> λ<sub>1</sub>（u, v）, λ<sub>2</sub>（u, v）∈C<sup>1</sup> and system （0.1） are strictly hyperbolic, i.e. λ<sub>1</sub>（u, v）【λ<sub>2</sub>（u, v）.
