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Showing 21-40 of 104 results
  1. Complex ΨDOSS and systems of complex differential equations

    In Chapters 4–7 we discussed pseudo-differential equations of integer and fractional orders with ψDOSS depending on real variables...
    Chapter 2015
  2. Introduction and Main Results

    In this monograph we solve the problem of the existence of Feller semigroups associated with strong Markov processes. More precisely, we prove the...
    Chapter 2014
  3. The edge algebra structure of the Zaremba problem

    We study mixed boundary value problems, here mainly of Zaremba type for the Laplacian within an edge algebra of boundary value problems. The edge...

    Der-Chen Chang, Nadia Habal, B.-W. Schulze in Journal of Pseudo-Differential Operators and Applications
    Article 24 December 2013
  4. Hartogs Phenomenon for Systems of Differential Equations

    A property of extension is studied for solutions of linear elliptic systems of differential equations. We show that the dimension of the...

    Article 26 September 2012
  5. Elliptic Quasicomplexes on Compact Closed Manifolds

    We consider quasicomplexes of pseudodifferential operators on a smooth compact manifold without boundary. To each quasicomplex we associate a complex...

    Article 28 June 2012
  6. The Iterative Structure of the Corner Calculus

    We give a brief survey on some new developments on elliptic operators on manifolds with regular geometric singularities. The material corresponds to...
    Chapter 2011
  7. On the Compactness of the Hypercomplex Commutator in Hölder Continuous Functions Spaces

    This paper is devoted to the compactness of the hypercomplex commutator S γ M a M a S γ , where S γ is the Cauchy singular integral operator (in the...

    Ricardo Abreu-Blaya, Juan Bory-Reyes, Jean-Marie Vilaire in Complex Analysis and Operator Theory
    Article 07 March 2009
  8. Differential Equations in Algebras

    The aim of this work is to investigate how topological and dynamical properties of differential equations (in the sequel DE) are reflected in the...
    Yakov Krasnov in Hypercomplex Analysis
    Conference paper 2008
  9. Boundary Value Problems with the Transmission Property

    We give a survey on the calculus of (pseudo-differential) boundary value problems with the transmision property at the boundary, and ellipticity in...
    Conference paper 2009
  10. Linear Differential Equations

    Linear differential equations are simpler in many respects. The truth of this statement is already obvious from the fact that their solution spaces...
    Werner M. Seiler in Involution
    Chapter 2009
  11. Equations with nonnegative characteristic form. II

    This monograph consists of two volumes and is devoted to second-order partial differential equations (mainly, equations with nonnegative...

    Article 31 March 2009
  12. Equations with nonnegative characteristic form. I

    This monograph consists of two volumes and is devoted to second-order partial differential equations (mainly, equations with nonnegative...

    Article 01 April 2009
  13. Modern Banach Space Theory — Selected Topics

    Due to lack of space, it is impossible to present in this chapter all branches of modern Banach space theory. Luckily enough, the Handbook of the...
    Chapter 2007
  14. Overdetermined Elliptic Systems

    We consider linear overdetermined systems of partial differential equations. We show that the introduction of weights classically used for the...

    Katsiaryna Krupchyk, Werner M. Seiler, Jukka Tuomela in Foundations of Computational Mathematics
    Article 23 September 2005
  15. Operator Method for Solution of PDEs Based on Their Symmetries

    We touch upon “operator analytic function theory” as the solution of frequent classes of the partial differential equations (PDEs).
    Chapter 2005
  16. Maxwell’s Equations in Clifford Calculus Framework — An Overview on the Development

    Quaternione and Clifford calculus is applied on wide classes of problems in very different fields of science. The aim of our overview article is to...
    Conference paper 2004
  17. Selected papers

    All papers have been typed and translated trying to reproduce as much as possible their original aspect. We only used common fonts and the same style...
    Ennio De Giorgi in Selected Papers
    Chapter 2006
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