Objective
Many problems in mathematical physics lead to partial differential equations (PDEs), a wide area with very different particular methods for different types of equations and systems. Although there exist various results, a theory of boundary value and of initial-boundary value problems for systems of PDEs is not yet fully developed. To investigate such problems in a general setting the powerful and subtle theory of several complex variables, of quaternionic and, more generally, of Clifford analysis will be used.
While boundary value problems in complex analysis of one variable are extensively studied there is almost no result for several variables. The reason is the complicated structure of the integral operators involved. The construction of appropriate kernel functions and the theory of singular integral operators related to the differential equations under consideration is important. In the case where an analytic function of several complex variables is the solution to some overdetermined systems of differential equations boundary value problems have been successfully treated. Some simple boundary value problems for the Dirac operator have also been solved in Clifford analysis.
The objective of this project is to build up a theory of boundary and initial-boundary value problems for systems of partial differential equations (PDEs) in more than two real variable, free and moving boundary problems, related singular integral operators and algebra's of singular integral operators, especially Beltrami systems in several variables.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
This project has not yet been classified with EuroSciVoc.
Be the first one to suggest relevant scientific fields and help us improve our classification service
You need to log in or register to use this function
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Data not available
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Data not available
Coordinator
14195 Berlin
Germany
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.