Global, small amplitude solutions to nonlinear evolution equations. (English) Zbl 0509.35009


35B40 Asymptotic behavior of solutions to PDEs
35B45 A priori estimates in context of PDEs
35Q99 Partial differential equations of mathematical physics and other areas of application
35L70 Second-order nonlinear hyperbolic equations
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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