Geodesic
Stability estimates of solutions to ill-posed Cauchy problem for electrodynamics and elasticity equations
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 531-542

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Cauchy problem for of electrodynamics and elasticity equations with data on time-like surfaces are considered. Stability estimates for these problems are stated. Moreover, formulae for coefficients of an asymptotic series for a solution to elasticity equations with a point impulse force are given. These coefficients determine a singular part and jumps of the solution across the characteristic surfaces corresponding to compressive and share waves.
Keywords: stability estimates, Cauchy problem, electrodynamics, isotropic elasticity, asymptotic series. 
@article{SEMR_2008_5_a47,
     author = {V. G. Romanov},
     title = {Stability estimates of solutions to ill-posed {Cauchy} problem for electrodynamics and elasticity equations},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {531--542},
     publisher = {mathdoc},
     volume = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2008_5_a47/}
}
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V. G. Romanov. Stability estimates of solutions to ill-posed Cauchy problem for electrodynamics and elasticity equations. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 531-542. http://geodesic.mathdoc.fr/item/SEMR_2008_5_a47/