Marco Veneroni

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 Spezialvorlesung SS09: Weak convergence methods in Calculus of Variations and PDEs


  Summary of the Course and references (pdf)


Short bibliography:

1.  Evans, L. C.   Weak convergence methods for nonlinear partial differential equations.   CBMS Regional Conference Series in Mathematics, 74. Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1990. viii+80 pp.

2Lions, P.-L.   The concentration-compactness principle in the calculus of variations. The locally compact case. I-II. Ann. Inst. H. Poincaré Anal. Non Linéaire 1 (1984).

3.  Tartar, L.   Compensated compactness and applications to partial differential equations. Nonlinear analysis and mechanics: Heriot-Watt Symposium, Vol. IV, pp. 136--212, Res. Notes in Math., 39, Pitman, Boston, Mass.-London, 1979.

4.  Alberti, G. Variational models for phase transitions. An approach via Gamma-convergence (Lecture notes) 

5. Müller, S.  Variational models for microstructure and phase transitions. (Lecture notes)