Differential and Integral Equations

Higher order ordinary differential-operator equations on the whole axis in UMD Banach spaces

Angelo Favini and Yakov Yakubov

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


We use a direct approach for proving an isomorphism result for a general higher order abstract ordinary differential equation in a UMD Banach space. In fact, it gives maximal $L_p$-regularity property. As a consequence, we get some interpolation theorem (about intermediate derivatives). A situation of a higher order equation generated by one operator is also treated. Finally, we present some application to elliptic PDEs.

Article information

Differential Integral Equations, Volume 21, Number 5-6 (2008), 497-512.

First available in Project Euclid: 20 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34G10: Linear equations [See also 47D06, 47D09]
Secondary: 35J40: Boundary value problems for higher-order elliptic equations 47A56: Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) 47N20: Applications to differential and integral equations


Favini, Angelo; Yakubov, Yakov. Higher order ordinary differential-operator equations on the whole axis in UMD Banach spaces. Differential Integral Equations 21 (2008), no. 5-6, 497--512. https://projecteuclid.org/euclid.die/1356038630

Export citation