On an abstract evolution equation with a spectral operator of scalar type

DOI10.1155/S0161171202112233zbMath1024.34050OpenAlexW2096007431MaRDI QIDQ1854171

Marat V. Markin

Publication date: 13 January 2003

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

Full work available at URL: https://eudml.org/doc/50397

zbMATH Keywords

weak solutionabstract evolution equationspectral operator of scalar type

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear differential equations in abstract spaces (34G10) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (4)

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