Geodesic
The increasing smoothness property of solutions to some hyperbolic problems in two independent variables
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 413-424

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The initial-boundary problems for first-order hyperbolic systems and for the wave equation are considered in the half-strip $\Pi=\{(x,t):0$, $t>0\}$. Boundary conditions which guarantee the increasing of smoothness of the solutions to the considered problems as $t$ grows are formulated.
Keywords: first-order hyperbolic systems on the plane, wave equation, initial-boundary problems, increasing smoothness of the solutions. 
@article{SEMR_2010_7_a39,
     author = {N. A. Lyul'ko},
     title = {The increasing smoothness property of solutions to some hyperbolic problems in two independent variables},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {413--424},
     publisher = {mathdoc},
     volume = {7},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2010_7_a39/}
}
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N. A. Lyul'ko. The increasing smoothness property of solutions to some hyperbolic problems in two independent variables. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 413-424. http://geodesic.mathdoc.fr/item/SEMR_2010_7_a39/