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Details of Grant 

EPSRC Reference: EP/J017450/1
Title: Solvability of elliptic partial differential equations with rough coefficients; the boundary value problems
Principal Investigator: Dindos, Professor M
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Sch of Mathematics
Organisation: University of Edinburgh
Scheme: Standard Research
Starts: 12 September 2012 Ends: 11 September 2015 Value (£): 354,196
EPSRC Research Topic Classifications:
Mathematical Analysis
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:
Panel DatePanel NameOutcome
05 Mar 2012 Mathematics Prioritisation Panel Meeting March 2012 Announced
Summary on Grant Application Form
The proposed research aims to study elliptic partial differential equations. Partial differential equations are used to mathematically describe behaviour of many real life phenomena and arise practically everywhere, such as in physics, material science, geometry, probability and many other disciplines.

In many real life models such as in material science or physics the coefficients can be discontinuous (modelling impurities in the material or cracks) and so it makes sense to study equations with

low regularity coefficients. Here the discontinuity of coefficients is the mathematical expression of the fact that many materials contain impurities (foreign objects) that somewhat change the properties of studied objects. It is therefore very important to consider these situations mathematically and understand way of solving such equations. This is what we are going to do in our research.

As the name of this project suggests we are going to focus on three basic types of boundary value problems. Our knowledge about different boundary value problems is quite uneven, in particular one type of boundary value problem is much better explored than the other two. We aim to remedy this situation and bring our knowledge about these boundary value problems to approximately same level.

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