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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... -
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... -
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...
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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...
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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...
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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... -
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...
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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... -
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... -
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... -
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...
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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...
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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... -
Overdetermined Elliptic Systems
We consider linear overdetermined systems of partial differential equations. We show that the introduction of weights classically used for the...
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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). -
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... -
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...