The Cartan-Monge geometric approach to the generalized characteristics method and its application to the heat equation Ut - Uxx = 0

• Autorzy: Golenia J. , Prykarpatsky Y. A. , Wachnicki E.
• Języki publikacji: EN

Abstrakty

EN

The generalized Cartan-Monge type approach to the characteristics method is discussed from the geometric point of view. Its application to the classical one-dimensional linear heat equation Ut - uxx = 0 is presented. It is shown that the corresponding exact solution of the Cauchy problem can be represented in a classical functional-analytic Gauss type form.

Słowa kluczowe

EN

characteristics method; heat equation

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2009
• Tom: Vol. 29, no. 1
• Strony: 27--39
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Golenia J.

autor

Prykarpatsky Y. A.

autor

Wachnicki E.

• AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow, Poland,

Bibliografia

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