Global well-posedness with large initial data is established for the 1D quasilinear wave equation under boundedness and monotonicity conditions on c via upper and lower estimates on Riemann variables using a new comparison principle.
Glassey, John K
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Large data global well-posedness for a one-dimensional quasilinear wave equation
Global well-posedness with large initial data is established for the 1D quasilinear wave equation under boundedness and monotonicity conditions on c via upper and lower estimates on Riemann variables using a new comparison principle.