On the Tonelli method for the degenerate parabolic Cauchy problem with functional argument

The degenerate parabolic Cauchy problem is considered. A functional argument in the equation is of the Hale type. As a limit of piecewise classical solutions we obtain a viscosity solution of the main problem. Presented method is an adaptation of Tonelli's constructive method to the partial dif...

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Bibliographic Details
Main Author: Krzysztof A. Topolski
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2014-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol34/2/art/opuscula_math_3426.pdf