Ellipticity: Theory and Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".
Deadline for manuscript submissions: closed (20 September 2023) | Viewed by 262
Special Issue Editor
Special Issue Information
Dear Colleagues,
Ellipticity in Partial Differential Equations is a concept where some invertibility of objects, such as symbols, is required. In the recent development of pseudo-differential operators, this property leads to parametrices of the respective operators. Originally motivated by applications in mathematical physics, models in quantization, or algebraic approaches, this became a powerful structure with new applications and challenges, with more and more relations to other fields of research, such as probability or numerical analysis. The simplest models are connected with the Laplacian in analysis, mechanics, and geometry. Keywords, indicating the direction of activities, are boundary and transmission problems, spectral properties, index- and K-theory, elliptic complexes, over- and under-determined systems, operator algebras, functional calculus, operators on stratified spaces or spaces with geometric singularities, asymptotics of solutions, non-linear equations and existence of specific solutions, and pseudo-differential operators with operator-valued symbols.
Prof. Dr. Bert Wolfgang Schulze
Guest Editor
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