Geodesic
Representations for the solutions and coefficients of evolution equations
Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 2, pp. 40-49

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We give new representations for the solutions and coefficients of evolution equations in the linear case. The obtained formulas contain functional arbitrariness, which can be used in identification problems. We also give classes of hyperbolic equations admitting generalized functional-invariant solutions.
Keywords: second-order evolution differential equations, generalized functional-invariant solutions.
Mots-clés : Poisson formula 
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     author = {Yu. E. Anikonov and M. V. Neshchadim},
     title = {Representations for the solutions and coefficients of evolution equations},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {40--49},
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     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2013_16_2_a3/}
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Yu. E. Anikonov; M. V. Neshchadim. Representations for the solutions and coefficients of evolution equations. Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 2, pp. 40-49. http://geodesic.mathdoc.fr/item/SJIM_2013_16_2_a3/