On the differentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator

DOI10.1155/2011/825951zbMath1222.34068OpenAlexW1999885860WikidataQ58687954 ScholiaQ58687954MaRDI QIDQ554843

Marat V. Markin

Publication date: 22 July 2011

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/825951

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10)

Related Items (3)

On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the open semi-axis ⋮ On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator of orders less than one ⋮ On the differentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis

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• Commuting spectral measures on Hilbert space
• A survey of the theory of spectral operators
• Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
• On the strong smoothness of weak solutions of an abstract evolution equation i. differentiability

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