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Content archived on 2022-12-23

Potential theory and complex analysis and applications to ordinary and partial differential equations

Objective



The main objective of this networking project is to take forward and apply a number of complex analytic methods, many of them being basically real analytic, inside the areas of potential theory, ordinary differential equations and partial differential equations, in order to achieve mathematical break-throughs in these areas. The network organises exchange of information as well as of visitors both at junior and senior level. The research within the network is closely linked with doctoral and post-doctoral education and training.

Scientifically, the network will organise its activities in four sections which are closely interrelated. In complex analysis the main topics to be investigated will be geometric function theory, symmetrisation methods, value distribution theory, Dirichlet series and BMO-theory. In potential theory, non-linear potential theory will be the main objective, while some linear potential theory will be studied in order to keep sight of its results and methodical devices. In the area of ordinary differential equations the main focus of research will be in the complex domain. In addition to geometric and value distribution properties of meromorphic and algebroid solutions of linear and algebraic differential equations, a research monograph project on Painlevé differential equations will be included, as well as applications of differential field theory. In partial differential equations research is mostly concerned with related investigations in non-linear potential theory and in hyperbolic manifolds. The focus of research in partial differential equations will be related to the p-Laplacian differential equation, as well as to the pluripotential theory.

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Programme(s)

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Topic(s)

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Call for proposal

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Funding Scheme

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Coordinator

University of Joensuu
EU contribution
No data
Address
Yliopistokatu 7
80101 Joensuu
Finland

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Total cost

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.

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Participants (7)

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