Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations
Feireisl, Eduard
Applications of Mathematics, Tome 35 (1990), p. 192-208 / Harvested from Czech Digital Mathematics Library
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In the present paper, the existence of a weak time-periodic solution to the nonlinear telegraph equation $U_{tt}+dU_t-\sigma(x,t,U_x)_x+aU=f(x,t,U_x,U_t,U)$ 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.

Publié le : 1990-01-01
Classification:  35B10,  35L70,  35Q20,  47J25 
@article{104403,
     author = {Eduard Feireisl},
     title = {Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations},
     journal = {Applications of Mathematics},
     volume = {35},
     year = {1990},
     pages = {192-208},
     zbl = {0737.35040},
     mrnumber = {1052740},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104403}
}

Feireisl, Eduard. Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations. Applications of Mathematics, Tome 35 (1990) pp. 192-208. http://gdmltest.u-ga.fr/item/104403/

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