Duality methods for a class of quasilinear systems
Annales de l'I.H.P. Analyse non linéaire, Volume 31 (2014) no. 2, p. 339-348

Duality methods are used to generate explicit solutions to nonlinear Hodge systems, demonstrate the well-posedness of boundary value problems, and reveal, via the Hodge–Bäcklund transformation, underlying symmetries among superficially different forms of the equations.

DOI : https://doi.org/10.1016/j.anihpc.2013.03.007
Classification:  58A14,  58A15,  35J47,  35J62,  35M10
Keywords: Hodge–Frobenius equations, Hodge–Bäcklund transformations, Nonlinear Hodge theory, A-harmonic forms
@article{AIHPC_2014__31_2_339_0,
     author = {Marini, Antonella and Otway, Thomas H.},
     title = {Duality methods for a class of quasilinear systems},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     publisher = {Elsevier},
     volume = {31},
     number = {2},
     year = {2014},
     pages = {339-348},
     doi = {10.1016/j.anihpc.2013.03.007},
     zbl = {1300.35047},
     mrnumber = {3181673},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_2014__31_2_339_0}
}
Marini, Antonella; Otway, Thomas H. Duality methods for a class of quasilinear systems. Annales de l'I.H.P. Analyse non linéaire, Volume 31 (2014) no. 2, pp. 339-348. doi : 10.1016/j.anihpc.2013.03.007. http://www.numdam.org/item/AIHPC_2014__31_2_339_0/

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