On the strong smoothness of weak solutions of an abstract evolution equation III. gevrey ultradifferentiability of order less than One

DOI10.1080/00036810108840930zbMath1033.34065OpenAlexW2076076674WikidataQ58309437 ScholiaQ58309437MaRDI QIDQ3152131

Marat V. Markin

Publication date: 22 October 2002

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810108840930

zbMATH Keywords

weak solutionsGevrey classes

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10)

Related Items (3)

Ultradifferentiable classes of entire functions ⋮ 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

Cites Work

• Spaces of infinitely differentiable vectors of a nonnegative self-adjoint operator
• Espaces de fonctions et distributions du type de Gevrey et problèmes aux limites paraboliques
• Some theorems connected with the theory of infinitely differentiable functions
• Quasi-analyticity and properties of flatness of entire functions
• Theory of Infinite Derivatives
• Boundary values of solutions of operator-differential equations
• On the strong smoothness of weak solutions of an abstract evolution equation i. differentiability
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