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Singular Degenerate Differential Operators and Applications

  • Veli B. Shakhmurov EMAIL logo
Published/Copyright: February 9, 2016
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 65 Issue 6

Abstract

The boundary value problems for linear and nonlinear singular degenerate differential-operator equations with variable coefficients are studied. Degenerate linear problems are considered on the moving domain. The uniform maximal regularity properties of the singular degenerate linear problem with parameters and the existence and uniqueness result for the degenerate nonlinear problem is shown. This problem occur in fluid mechanics and environmental engineering.

Keywords: differential-operator equations; degenerate equations; semigroups of operators; Banach-valued function spaces; maximal regularity; operator-valued Fourier multipliers

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Received: 2012-10-23
Accepted: 2012-12-12
Published Online: 2016-2-9
Published in Print: 2015-12-1

Mathematical Institute Slovak Academy of Sciences

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  1. Radius, Diameter and the Degree Sequence of a Graph
  2. On Primary Ideals in Posets
  3. Characterization of the Set of Regular Elements in Ordered Semigroups
  4. Tame Automorphisms with Multidegrees in the Form of Arithmetic Progressions
  5. A Result Concerning Additive Mappings in Semiprime Rings
  6. Characterizing Jordan Derivations of Matrix Rings Through Zero Products
  7. Existence Results for Impulsive Nonlinear Fractional Differential Equations With Nonlocal Boundary Conditions
  8. The Radon-Nikodym Property and the Limit Average Range
  9. A Hake-Type Theorem for Integrals with Respect to Abstract Derivation Bases in the Riesz Space Setting
  10. On Booth Lemniscate and Hadamard Product of Analytic Functions
  11. Recursion Formulas for Srivastava Hypergeometric Functions
  12. Regularly Varying Solutions of Half-Linear Diffferential Equations with Retarded and Advanced Arguments
  13. Singular Degenerate Differential Operators and Applications
  14. The Interior Euler-Lagrange Operator in Field Theory
  15. On Selections of Set-Valued Maps Satisfying Some Inclusions in a Single Variable
  16. The Family F of Permutations of ℕ
  17. Summation Process of Positive Linear Operators in Two-Dimensional Weighted Spaces
  18. On Iλ-Statistical Convergence in Locally Solid Riesz Spaces
  19. Some Norm one Functions of the Volterra Operator
  20. Some Results on Absolute Retractivity of the Fixed Points Set of KS-Multifunctions
  21. Convexity in the Khalimsky Plane
  22. Natural Boundary Conditions in Geometric Calculus of Variations
  23. Exponential Inequalities for Bounded Random Variables
  24. Precise Rates in the Law of Iterated Logarithm for the Moment Convergence of φ-Mixing Sequences
  25. Second Order Riemannian Mechanics
  26. Further Remarks on an Order for Quantum Observables
https://doi.org/10.1515/ms-2015-0096
Keywords for this article
differential-operator equations; degenerate equations; semigroups of operators; Banach-valued function spaces; maximal regularity; operator-valued Fourier multipliers

Articles in the same Issue

  1. Radius, Diameter and the Degree Sequence of a Graph
  2. On Primary Ideals in Posets
  3. Characterization of the Set of Regular Elements in Ordered Semigroups
  4. Tame Automorphisms with Multidegrees in the Form of Arithmetic Progressions
  5. A Result Concerning Additive Mappings in Semiprime Rings
  6. Characterizing Jordan Derivations of Matrix Rings Through Zero Products
  7. Existence Results for Impulsive Nonlinear Fractional Differential Equations With Nonlocal Boundary Conditions
  8. The Radon-Nikodym Property and the Limit Average Range
  9. A Hake-Type Theorem for Integrals with Respect to Abstract Derivation Bases in the Riesz Space Setting
  10. On Booth Lemniscate and Hadamard Product of Analytic Functions
  11. Recursion Formulas for Srivastava Hypergeometric Functions
  12. Regularly Varying Solutions of Half-Linear Diffferential Equations with Retarded and Advanced Arguments
  13. Singular Degenerate Differential Operators and Applications
  14. The Interior Euler-Lagrange Operator in Field Theory
  15. On Selections of Set-Valued Maps Satisfying Some Inclusions in a Single Variable
  16. The Family F of Permutations of ℕ
  17. Summation Process of Positive Linear Operators in Two-Dimensional Weighted Spaces
  18. On Iλ-Statistical Convergence in Locally Solid Riesz Spaces
  19. Some Norm one Functions of the Volterra Operator
  20. Some Results on Absolute Retractivity of the Fixed Points Set of KS-Multifunctions
  21. Convexity in the Khalimsky Plane
  22. Natural Boundary Conditions in Geometric Calculus of Variations
  23. Exponential Inequalities for Bounded Random Variables
  24. Precise Rates in the Law of Iterated Logarithm for the Moment Convergence of φ-Mixing Sequences
  25. Second Order Riemannian Mechanics
  26. Further Remarks on an Order for Quantum Observables
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