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| SEMI-GLOBAL $C^1$ SOLUTION TO THE MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS |
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Citation： |
LI Ta-tsien,JIN Yi.SEMI-GLOBAL $C^1$ SOLUTION TO THE MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS[J].Chinese Annals of Mathematics B,2001,22(3):325~336 |
| Page view： 1837
Net amount： 956 |
Authors： |
LI Ta-tsien; JIN Yi |
Foundation： |
Project supported by the Special Funds for Major State Basic Research Projects of China. |
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| Abstract： |
By means of an equivalent invariant form of boundary conditions, the authors get the existence and uniqueness of semi-global $C^1$ solution to the mixed initial-boundary value problem
for quasilinear hyperbolic systems with general nonlinear boundary conditions. |
Keywords： |
Semi-global $C^1$ solution, Mixed initial-boundary value problem,
Quasilinear hyperbolic system |
Classification： |
35L50 |
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