- Amar , M. and De Cicco , V. 1994 . Relaxation of quasiconvex integrals of arbitrary order . Proc. Roy. Soc. Edinburgh , 121A ( 5 ) : 927 – 946 .
- Ball , J. 1989 . “ A version of the fundamental theorem of Young measures, in PDE's and continuum models of phase transitions ” . In Lecture Notes of Physics , Edited by: Rascle , Serre and Slemrod . Vol. 344 , 207 – 215 . Springer-Verlag .
- Bethuel , F. , Coron , J. , Ghidaglia , J. and Soyeur , A. 1992 . “ Heat flows and relaxed energies for harmonic maps, in Nonlinear Diffusion Equations and Their Equilibrium States,3 ” . In Progress in Nonlinear Differential Equations , Edited by: Liyod , Ni , Peletier and Serrin . Vol. 7 , 99 – 109 . Birkhäuser .
- Demoulini , S. 1996 . Young measure solutions for a nonlinear parabolic equation of forward-backward type . SIAM J. Math. Anal. , 27 ( 2 ) : 376 – 403 .
- Demoulini S. Qi-nian Jin oung measure solutions for nonlinear systems of evolution, Y to appear in Annals de I'I.H.P. - Analyse Non Linéaire.
- Ekeland , I. and Temam , R. 1972 . Analyse convexe et problémes variationelles , Paris : Dunod .
- Horihata , K. and Kikuchi , N. 1989 . A construction of solutions satisfying a Caciopolic inequality for non-linear parabolic equations associated to a variational functional of harmonic type . Boll. Un. Mat. Ital. , 3-A ( 7 ) : 199 – 207 .
- Kinderlehrer , D. and Pedregal , P. 1992 . Weak convergence of integrands and the Young measure representation . SIAM J. Math. Anal. , 23 ( 1 ) : 1 – 19 .
- Kinderlendhrer , D. and Pedregal , P. 1994 . Remarks about the analysis of Gradient Young measures . J. Geom. Anal. , 4 ( 1 ) : 59 – 90 .
- Slemrod , M. 1991 . Dynamics of measure valued solutions to a backward-forward heat equation . J. Dynamis Diff. Equations , 3 ( 1 ) : 1 – 28 .
Variational methods for young measure solutions of nonlinear parabolic evolutions of forward-backward type and of high spatial order
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