On the Differentiability of Weak Solutions of an Abstract Evolution Equation with a Scalar Type Spectral Operator. (24th March 2011)
- Record Type:
- Journal Article
- Title:
- On the Differentiability of Weak Solutions of an Abstract Evolution Equation with a Scalar Type Spectral Operator. (24th March 2011)
- Main Title:
- On the Differentiability of Weak Solutions of an Abstract Evolution Equation with a Scalar Type Spectral Operator
- Authors:
- Markin, Marat V.
- Other Names:
- Jorgensen Palle E. Academic Editor.
- Abstract:
- Abstract : For the evolution equationy ′ ( t ) = A y ( t ) with a scalar type spectral operatorA in a Banach space, conditions onA are found that are necessary and sufficient for all weak solutions of the equation on[ 0, ∞ ) to be strongly infinite differentiable on[ 0, ∞ ) or[ 0, ∞ ) . Certain effects of smoothness improvement of the weak solutions are analyzed.
- Is Part Of:
- International journal of mathematics and mathematical sciences. Volume 2011(2011)
- Journal:
- International journal of mathematics and mathematical sciences
- Issue:
- Volume 2011(2011)
- Issue Display:
- Volume 2011, Issue 2011 (2011)
- Year:
- 2011
- Volume:
- 2011
- Issue:
- 2011
- Issue Sort Value:
- 2011-2011-2011-0000
- Page Start:
- Page End:
- Publication Date:
- 2011-03-24
- Subjects:
- Mathematics -- Periodicals
510.5 - Journal URLs:
- https://www.hindawi.com/journals/ijmms/ ↗
- DOI:
- 10.1155/2011/825951 ↗
- Languages:
- English
- ISSNs:
- 0161-1712
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 10823.xml