Objective
In this project we want to consider biharmonic evolution equations on domains with Dirichlet boundary conditions. This evolution problem gives a model for the continuum theory of some special kinds of liquid crystals. The big difference between this biharmonic evolution problem and the corresponding second order problem is that in the higher order case the maximum principle does not hold. A solution of the biharmonic evolution equations in the whole space with a non-negative initial condition may change sign instantaneously. Our interest in studying the biharmonic evolution problem is to find out to what extent results proved for the heat equation really depend upon the maximum principle or in other words, upon positivity preservation. In particular w e would like to get estimates of the solutions both from above and from below. In order to find such bounds one method is to find optimal estimates both from above and from below of the semi group kernel associated. A study of the behaviour, or more specific ally of the sign of the semigroup kernel, will be a powerful tool to get bounds of the kernel itself. Optimal a priori estimates of the semigroup kernel associated to the biharmonic evolution problem is an interesting subject on its own. Moreover, these bounds turn out to be important results for the study of higher order non-linear evolution equations and also for proving boundedness and compactness of operators.
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.
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2002-MOBILITY-5
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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.
Coordinator
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.