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. 
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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/

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