Geodesic
Global in time solutions to quasilinear telegraph equations involving operators with time delay
Applications of Mathematics, Tome 36 (1991) no. 6, pp. 456-468

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MR Zbl
The existence of small global (in time) solutions to an abstract evolution equation containing a damping term is proved. The result is then applied to fully nonlinear telegraph equations and to nonlinear equations involving operators with time delay.
The existence of small global (in time) solutions to an abstract evolution equation containing a damping term is proved. The result is then applied to fully nonlinear telegraph equations and to nonlinear equations involving operators with time delay.
DOI : 10.21136/AM.1991.104482
Classification : 35A05, 35B35, 35L70, 45G10, 45K05
Keywords: quasilinear telegraph equations; bounded solutions; time-periodic solutions; time delay; small global solution; abstract evolution equation; nonlinear coefficients; nonlinear right-hand side 
Feireisl, Eduard. Global in time solutions to quasilinear telegraph equations involving operators with time delay. Applications of Mathematics, Tome 36 (1991) no. 6, pp. 456-468. doi: 10.21136/AM.1991.104482
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