JournalsaihpcVol. 31, No. 2pp. 339–348

Duality methods for a class of quasilinear systems

  • Antonella Marini

    Dipartimento di Matematica, Università di L'Aquila, 67100 L'Aquila, Italy, Department of Mathematical Sciences, Yeshiva University, New York, NY 10033, United States

  • Thomas H. Otway

    Department of Mathematical Sciences, Yeshiva University, New York, NY 10033, United States
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Abstract

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.

Cite this article

Antonella Marini, Thomas H. Otway, Duality methods for a class of quasilinear systems. Ann. Inst. H. Poincaré Anal. Non Linéaire 31 (2014), no. 2, pp. 339–348

DOI 10.1016/J.ANIHPC.2013.03.007