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• W2039556493 abstract "This work investigates the existence of globally Lipschitz continuous solutions to a class of Cauchy problem of quasilinear wave equations. Applying Lax's method and generalized Glimm's method, we construct the approximate solutions of the corresponding perturbed Riemann problem and establish the global existence for the derivatives of solutions. Then, the existence of global Lipschitz continuous solutions can be carried out by showing the weak convergence of residuals for the source term of equation." @default.
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• W2039556493 date "2007-05-01" @default.
• W2039556493 modified "2023-10-16" @default.
• W2039556493 title "Globally Lipschitz continuous solutions to a class of quasilinear wave equations" @default.
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• W2039556493 doi "https://doi.org/10.1016/j.jde.2007.02.006" @default.
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