Global in time solutions to quasilinear telegraph equations involving operators with time delay

Eduard Feireisl

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

Bounded, almost-periodic, and periodic solutions to fully nonlinear telegraph equations

Eduard Feireisl (1990)

Czechoslovak Mathematical Journal

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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.