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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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 
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     author = {Feireisl, Eduard},
     title = {Global in time solutions to quasilinear telegraph equations involving operators with time delay},
     journal = {Applications of Mathematics},
     pages = {456--468},
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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. http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104482/

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