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

• Autorzy: Topolski K. A.

Identyfikatory

DOI

http://dx.doi.org/10.7494/OpMath.2014.34.2.425

• Języki publikacji: EN

Abstrakty

EN

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 differential-functional equation. It is also shown that this approach can be improved by the vanishing viscosity method and regularisation process.

Słowa kluczowe

EN

viscosity solutions; parabolic equation; differential-functional equation

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2014
• Tom: Vol. 34, no. 2
• Strony: 425--441
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Topolski K. A.

• University of Gdansk Institute of Mathematics Wit Stwosz Street 57, 80-952 Gdansk

Bibliografia

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