Objective
"Semi-classical analysis started to be developed about 50 years ago by the works of Sato and Hormander on micro-local analysis.
Nowadays, it has reached great achievement with many applications to different topics in analysis including spectral theory, scattering theory, control theory, and some aspects in non linear equations, by the use of dispersive estimates and paraproduct techniques .
The objective of our proposal is to develop new tools and applications in two directions : boundary value problems and connections between probability and semi-classical analysis. We expect to solve basic remaining open problems in the analysis of boundary problems, and to make contributions to develop new links between probability and analysis of partial differential equations.
We will focus on four topics :
- 1) Dispersive and Strichartz estimates for wave or Schrödinger equations in domains. Applications to the Cauchy problem for non linear waves in domains.
- 2) Theoretical analysis of the optimal control operator in control theory.
- 3) Analysis of Markov Chain Monte Carlo algorithm of Metropolis type via PDE's tools.
- 4) Applications of probabilistic tools to the analysis of PDE.
Topics 1) and 2) are strongly connected to progress in the analysis of boundary value problems.
Topic 3) involves a generalization of the classical pseudo-differential calculus. The purpose of topic 4) is to develop a new field of research for deterministic PDE's (and therefore is not in the area of stochastic PDE's).
All topics involve geometric analysis in the phase space."
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: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
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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.
ERC-2012-ADG_20120216
See other projects for this call
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.
Host institution
06100 NICE - CEDEX 2
France
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.