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

Szczegóły
Opis

Tytuł:: 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.
Powiązania:: https://bibliotekanauki.pl/articles/255525.pdf
Data publikacji:: 2009
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: characteristics method
heat equation
Źródło:: Opuscula Mathematica; 2009, 29, 1; 27-39
1232-9274
2300-6919
Język:: angielski
Prawa:: CC BY: Creative Commons Uznanie autorstwa 3.0 PL
Dostawca treści:: Biblioteka Nauki
: Artykuł

Przejdź do źródła

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.

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

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