Geodesic
The maximal nonuniqueness classes of solutions to the Cauchy problem for linear equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2010), pp. 90-93

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We study linear partial differential equations with increasing coefficients in a half-plane. We establish maximal nonuniqueness classes of solutions to the Cauchy problem for these equations. The proof is based on a new estimation method for a solution to the dual differential equation with a parameter.
Keywords: classes of uniqueness and nonuniqueness, Newton's diagram, Cauchy problem. 
@article{IVM_2010_9_a9,
     author = {D. V. Turtin},
     title = {The maximal nonuniqueness classes of solutions to the {Cauchy} problem for linear equations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {90--93},
     publisher = {mathdoc},
     number = {9},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_9_a9/}
}
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D. V. Turtin. The maximal nonuniqueness classes of solutions to the Cauchy problem for linear equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2010), pp. 90-93. http://geodesic.mathdoc.fr/item/IVM_2010_9_a9/