Periodic solutions of degenerate differential equations in vector-valued function spaces

• Autorzy: Carlos Lizama , Rodrigo Ponce
• Języki publikacji: EN

Abstrakty

EN

Let A and M be closed linear operators defined on a complex Banach space X. Using operator-valued Fourier multiplier theorems, we obtain necessary and sufficient conditions for the existence and uniqueness of periodic solutions to the equation d/dt(Mu(t)) = Au(t) + f(t), in terms of either boundedness or R-boundedness of the modified resolvent operator determined by the equation. Our results are obtained in the scales of periodic Besov and periodic Lebesgue vector-valued spaces.

Kategorie tematyczne

• 34G10: Linear equations
• 34K13: Periodic solutions
• 35K65: Degenerate parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 202
• Numer: 1
• Strony: 49-63

Daty

wydano

2011

Twórcy

autor

Carlos Lizama

• Departamento de Matemática, Facultad de Ciencias, Universidad de Santiago de Chile, Casilla 307-Correo 2, Santiago, Chile

autor

Rodrigo Ponce

• Departamento de Matemática, Facultad de Ciencias, Universidad de Santiago de Chile, Casilla 307-Correo 2, Santiago, Chile

Identyfikatory

DOI

10.4064/sm202-1-3