𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Well-posedness of the Basset problem in spaces of smooth functions

✍ Scribed by Allaberen Ashyralyev

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
216 KB
Volume
24
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

In the present paper we consider the initial value problem for the fractional differential equation

in a Banach space E with the strongly positive operator A. The well-posedness of this problem in spaces of smooth functions is established. In practice, the coercive stability estimates for the solution of problems for 2mth order multidimensional fractional parabolic equations and one-dimensional fractional parabolic equations with nonlocal boundary conditions in space variable are obtained.

πŸ“œ SIMILAR VOLUMES

Generic well-posedness of minimization p
Generic well-posedness of minimization problems with mixed smooth constraints
✍ Alexander J. Zaslavski πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 348 KB

In this paper we study mathematical programming problems with mixed smooth constraints in a Banach space and show that most of the problems (in the Baire category sense) are well-posed. Our result is a generalization of a result of A.D. Ioffe et al. [A variational principle for problems with functio

On the well-posedness of the Cauchy prob
On the well-posedness of the Cauchy problem for an MHD system in Besov spaces
✍ Changxing Miao; Baoquan Yuan πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 206 KB πŸ‘ 1 views

## Abstract This paper is devoted to the study of the Cauchy problem of incompressible magneto‐hydrodynamics system in the framework of Besov spaces. In the case of spatial dimension __n__β©Ύ3, we establish the global well‐posedness of the Cauchy problem of an incompressible magneto‐hydrodynamics sys