Displaying similar documents to “Global in time solutions to quasilinear telegraph equations involving operators with time delay”

Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations

Eduard Feireisl (1990)

Aplikace matematiky

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In the present paper, the existence of a weak time-periodic solution to the nonlinear telegraph equation U t t + d U t - σ ( x , t , U x ) x + a U = f ( x , t , U x , U t , U ) with the Dirichlet boundary conditions is proved. No “smallness” assumptions are made concerning the function f . The main idea of the proof relies on the compensated compactness theory.