Variation of constants formula for hyperbolic systems

• Autorzy: Lichtner M.
• Języki publikacji: EN

Abstrakty

EN

A smooth variation of constants formula for semilinear hyperbolic systems is established using a suitable Banach space X of continuous functions together with its sun dual space [wzór]. It is shown that mild solutions of this variation of constants formula generate a smooth semiflow in X. This proves that the stability of stationary states for the nonlinear flow is determined by the stability of the linearized semigroup.

Słowa kluczowe

EN

semilinear hyperbolic systems; variations of constants formula; sun star calculus; smooth dependence on data; linarized stability

PL

półliniowe hiperboliczne systemy; zmiany stałych formuły; rachunek gwiazdy słońce; gładkie zależności od danych

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2009
• Tom: Vol. 15, nr 1
• Strony: 79--100
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Lichtner M.

• Weierstrass Institute for Applied Analysis and Stochastics Mohrenstr,

Bibliografia

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