scholarly journals Discrete Pseudo-Differential Operators and Boundary Value Problems in a Half-Space and a Cone

2018 ◽  
Vol 39 (2) ◽  
pp. 289-296 ◽  
Author(s):  
V. Vasilyev
Keyword(s):  
Boundary Value Problems ◽  
Half Space ◽  
Differential Operators ◽  
Boundary Value ◽  
Pseudo Differential Operators

scholarly journals To the theory of discrete boundary value problems

4open ◽  
2019 ◽  
Vol 2 ◽  
pp. 17 ◽  
Author(s):  
Oksana A. Tarasova ◽  
Vladimir B. Vasilyev
Keyword(s):  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Differential Operators ◽  
Boundary Value ◽  
Continuous Solutions ◽  
Existence And Uniqueness Results ◽  
Discrete Equations ◽  
Uniqueness Results ◽  
Pseudo Differential Operators ◽  
Discrete Analogues

We consider discrete analogues of pseudo-differential operators and related discrete equations and boundary value problems. Existence and uniqueness results for special elliptic discrete boundary value problem and comparison for discrete and continuous solutions are given for certain smooth data in discrete Sobolev–Slobodetskii spaces.

scholarly journals Recent developments on pseudo-differential operators (II)

2015 ◽  
Vol 46 (3) ◽  
pp. 281-348 ◽  
Author(s):  
Der-chen Edward Chang ◽  
Xiaojing Lyu ◽  
Bert-Wolfgang Schulze
Keyword(s):  
Boundary Value Problems ◽  
Differential Operators ◽  
Operator Algebras ◽  
Boundary Value ◽  
Iterative Approach ◽  
Pseudo Differential Operators ◽  
Analysis On Manifolds ◽  
Recent Developments ◽  
Manifolds With Singularities ◽  
Singular Manifolds

The analysis on manifolds with singularities is a rapidly developing field of research, with new achievements and compelling challenges. We present here elements of an iterative approach to building up pseudo-differential structures. Those participate in operator algebras on singular manifolds and reflect the properties of parametrices of elliptic operators, including boundary value problems.

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