Programme

• Lectures:
  • 
    Series of lectures, devoted to the foundations, includes
    
    - the local inverse problem of Helmholtz and Douglas types for differential equations on Euclidean spaces
    - the global inverse problem formulated by the variational sequence theory and variational bicomplex theory; cohomology conditions
    - the inverse problem in mechanics and field theory
    
    
• • A. Bloch, D. Zenkov: Controlled Lagrangians and the Inverse Problem of the Calculus of Variations PDF
    D. Krupka: The Inverse Problem of the Calculus of Variations: An Introduction, PDF
    D. Saunders: Homogeneous Variational Problems: a minicourse, PDF
    Z. Urban: The Geometry of Variational Principles on Grassmann Fibrations, PDF
    
    Historical sources:
    J. Douglas, Solution of the inverse problem of the calculus of variations, Transactions AMS 50 (1941), 71-128. PDF
    H. von Helmholtz, Ueber die physikalische Bedeutung des Princips der kleinsten Wirkung, Journal fur die reine und angewandte Mathematik 100 (1887) (2-3), 137-166, 213-222. PDF
    N. J. Sonin, Ob opredelenii maximalnych i minimalnych svojstv ploskich krivych (About determining maximal and minimal properties of plane curves), Warsawskye Universitetskye Izvestiya (1886) (1-2), 1-68. PDF
    
    
    
• Workshop:
  • 
    The goal is to present recent results in the theory and applications of the inverse problem of the calculus of variations.
    Contributions in analysis, differential geometry, mechanics and field theory are welcome. Presentations of posters are also possible.
    
    
• List of contributions and posters (tentative):
  • 
    M. Benchaa: Global existence and blow up of solutions of a parabolic equation (poster)
    K. Drachal: Gluing Friedman cosmological models in differential spaces theory (poster)
    I.E.. Hirica: On some evolution PDE's (poster)
    I. Khavkine: Presymplectic current and the inverse problem of the calculus of variations
    G.H. Kim: Superstability of an exponential equation in C*-algebras (poster)
    D. Krupka, J. Volna, Z. Urban: Variational sequences
    R. Malikova: Poincare invariance of the Helmholtz morphism
    R. Matsyuk: Skinner-Rusk homogeneous covariant formalism (poster)
    Ch. K. Mishra: Curvature Inheritance Symmetry
    Ch. Park: Matrix normed spaces and functional equations (poster)
    
    M. Bragdi: A numerical solution scheme for a fractional differential model (poster)
    M. Menad: Finite difference methods for time-fractional diffusion equation (poster)
    Ch. Pradhan: An Intelligent Dynamic Sources protocol for network (poster)
    
    
    
• Monograph:
  • 
    An edited research monograph on the inverse variational problem, published by a renowned international publisher, consisting of chapters, written by different authors, is planned.
    Researchers are encouraged to make proposals for the contents of the book and chapters; the contents will be determined on agreement with the editor(s).
    More information will be provided in due course.
    
    


• Extended Abstract Book:
  • 
    Extended abstract book, covering contributions presented during the Summer School, is intended. In case of interest, please send your extended abstract to milan.demko-at-unipo.sk not later than 1 August 2013. Preferably, it should be prepared in LaTeX (a file prepared in MS Word is also acceptable), containing a title, author(s) and the corresponding addresses, key words, and MSC 2010 (see a sample).

Time Schedule (tentative)

Monday 12 August
9:00 Opening the Summer School
9:15-12:30 Lectures
15:00 Levoca sigtseeing

Tuesday 13 August
9:00-12:30 Lectures
15:00-17:00 Workshop

Wednesday 14 August
Excursions

Thursday 15 August
9:00-12:30 Lectures
15:00-17:00 Workshop

Friday 16 August
9:00-12:30 Lectures
14:30 Farewell party (barbecue)

Saturday 17 August
9:00-12:30 Lectures

Due to intention to organize the excursion to Dobsinska Ice Cave, warm clothes are recommended to take with you (a sightseeing tour of the Cave takes 30 min). See: www

Intended excursions