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On approximate solutions to the first initial boundary value problem for the m-Hessian evolution equations
Authors:N. M. Ivochkina
Affiliation:(1) St.-Petersburg State University of Architecture and Civil Engineering, 2-Krasnoarmeiskaya, 4, 198005 St.-Petersburg, Russia
Abstract:
We adapt to degenerate m-Hessian evolution equations the notion of m-approximate solutions introduced by N. Trudinger for m-Hessian elliptic equations, and we present close to necessary and sufficient conditions guaranteeing the existence and uniqueness of such solutions for the first initial boundary value problem. Dedicated to Professor Felix Browder
Keywords:Mathematics Subject Classification (2000). 35J65
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