Semilinear Cauchy problems with almost sectorial operators

• Autorzy: Dlotko T.
• Języki publikacji: EN

Abstrakty

EN

Existence of a mild solution to a semilinear Cauchy problem with an almost sectorial operator is studied. Under additional regularity assumptions on the nonlinearity and initial data we also prove the existence of a classical solution to this problem. An example of a parabolic problem in Holder spaces illustrates the abstract result.

Słowa kluczowe

EN

Cauchy problem; integrated semigroup; almost sectorial operator; mild solution; classical solution

PL

zagadnienie Cauchy'ego

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: Vol. 55, no 4
• Strony: 333--346
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Dlotko T.

• Institute of Mathematics, Silesian University, 40-007 Katowice, Poland,

Bibliografia

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