Some analytical properties of dissolving operators related with the Cauchy problem for a class of nonautonomous partial differential equations. Part. 1

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Opis

Tytuł:: Some analytical properties of dissolving operators related with the Cauchy problem for a class of nonautonomous partial differential equations. Part. 1
Autorzy:: Pytel-Kudela, M.
Prykarpatsky, A.K.
Powiązania:: https://bibliotekanauki.pl/articles/254883.pdf
Data publikacji:: 2006
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: dissolving operators
bilinear forms
Cauchy problem
semigroups
evolution equations
Źródło:: Opuscula Mathematica; 2006, 26, 1; 131-136
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 analytical properties of dissolving operators related with the Cauchy problem for a class of nonautonomous partial differential equations in Hilbert spaces are studied using theory of bilinear forms in respectively rigged Hilbert spaces triples. Theorems specifying the existence of a dissolving operator for a class of adiabatically perturbed nonautonomous partial differential equations are stated. Some applications of the results obtained are discussed.

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