On Some Properties of Solutions to One Class of Evolution Sobolev Type Mathematical Models in Quasi-Sobolev Spaces

DOI10.14529/MMP150410zbMath1344.47026OpenAlexW2585112485MaRDI QIDQ2806478

J. K. T. al-Isawi, Alena Aleksandrovna Zamyshlaeva

Publication date: 18 May 2016

Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14529/mmp150410

zbMATH Keywords

quasi-Banach spacesinvariant spacequasi-Sobolev spacesexponential dichotomy of solutionholomorphic degenerate semigroups

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Groups and semigroups of linear operators (47D03) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (8)

Invariant Manifolds of Semilinear Sobolev Type Equations ⋮ Sobolev-Type Systems and Applied Problems ⋮ Positive Degenerate Holomorphic Groups of the Operators and Their Applications ⋮ Computational Experiment for One Class of Evolution Mathematical Models in Quasi-Sobolev Spaces ⋮ Mathematical Bases of Optimal Measurements Theory in Nonstationary Case ⋮ Spectral Problems for One Mathematical Model of Hydrodynamics ⋮ Solvability of the Showalter - Sidorov Problem for Sobolev Type Equations with Operators in the Form of First-Order Polynomials from the Laplace - Beltrami Operator on Differential Forms ⋮ Positive Solutions to Sobolev Type Equations with Relatively p-Sectorial Operators

Cites Work

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• Invariant spaces and dichotomies of solutions of a class of linear equations of the Sobolev type
• Linear Sobolev type equations and degenerate semigroups of operators
• On Integration in Quasi-Banach Spaces of Sequences
• Holomorphic Degenerate Operator Semigroups and Evolutionary Sobolev Type Equations in Quasi-Sobolev Spaces of Sequences
• Asymptotic expansions for a model with distinguished “fast” and “slow” variables, described by a system of singularly perturbed stochastic differential equations

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