Well-posedness of second order evolution equation on discrete time

作者：Castro Airton; Cuevas Claudio^*; Lizama Carlos

来源：Journal of Difference Equations and Applications, 2010, 16(10): 1165-1178.

DOI：10.1080/10236190902791619

• well-posedness
• discrete maximal regularity
• second order evolution equations
• R-boundedness
• UMD spaces
• Fourier multipliers

We characterize the well-posedness for second order discrete evolution equations in unconditional martingale difference spaces by means of Fourier multipliers and R-boundedness properties of the resolvent operator which defines the equation. Applications to semilinear problems are given.

• 出版日期2010