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We consider a certain class of discrete pseudo-differential operators and related equations in a sharp convex cone and describe their invertibility conditions in L2 spaces. For this purpose we introduce… Click to show full abstract
We consider a certain class of discrete pseudo-differential operators and related equations in a sharp convex cone and describe their invertibility conditions in L2 spaces. For this purpose we introduce a concept of periodic wave factorization for elliptic symbol and show its applicability for the studying. For a half-space case we consider the Laplace equation and describe a solution of the discrete Dirichlet problem.
Keywords:
discrete pseudo;
half space;
pseudo differential;
cone;
differential operators
Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2018
Link to full text (if available)
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Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!