Sökning: "Alexey Karapetyants"

Hittade 5 avhandlingar innehållade orden Alexey Karapetyants.

  1. 1. Maximal regularity of the solutions for some degenerate differential equations and their applications

    Författare :Raya Akhmetkaliyeva; Lars-Erik Persson; Peter Wall; Kordan Ospanov; Alexey Karapetyants Karapetyants; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Sammanfattning : This PhD thesis deals with the study of existence and uniqueness together with coercive estimates for solutions of certain differential equations.The thesis consists of six papers (papers A, B, C, D, E and F), two appendices and an introduction, which put these papers and appendices into a more general frame and which also serves as an overview of this interesting field of mathematics. LÄS MER

  3. 2. Operators and Inequalities in various Function Spaces and their Applications

    Författare :Evgeniya Burtseva; Natasha Samko; Lars-Erik Persson; Peter Wall; Alexey Karapetyants; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : This Licentiate thesis is devoted to the study of mapping properties of different operators (Hardy type, singular and potential) between various function spaces.The main body of the thesis consists of five papers and an introduction, which puts these papers into a more general frame. LÄS MER

  4. 3. Some new results concerning general weighted regular Sturm-Liouville problems

    Författare :Mervis Kikonko; Lars-Erik Persson; Peter Wall; Angelo B. Mingarelli; Alexey Karapetyants; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Partial differential equations; Sturm-Liouville problem; Right-definite; left-definite; non-definite; indefinite; Dirichlet problem; spectrum; eigenvalues; non-real eigenvalues; Richardson number; Richardson index; turning point; Mathematics; Matematik;

    Sammanfattning : In this PhD thesis we study some weighted regular Sturm-Liouville problems in which the weight function takes on both positive and negative signs in an appropriate interval [a,b]. With such  problems there is the possible existence of non-real eigenvalues, unlike in the definite case (i.e. LÄS MER

  5. 4. Partial differential equations and systems related to Morrey spaces

    Författare :Maria Alessandra Ragusa; Alexey Karapetyants; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : This PhD thesis deals with the study of well posedness, existence and regularity properties of solutions of partial differential equations and systems. Preparatory to the study of partial differential equations is the action of some integral operators, that are extensively used. LÄS MER

  7. 5. Some New Hardy-type inequalities in $q$-analysis

    Författare :Serikbol Shaimardan; Alexey N. Karapetyants; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : .... LÄS MER