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Symmetries of the heat equation on the lattice

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Abstract

Discrete versions of the heat equation on two-dimensional uniform lattices are shown to possess the same symmetry algebra as their continuum limits. Solutions with definite symmetry properties are presented.

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Authors and Affiliations

  1. Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Dipartimento di Fisica Teorica, Università di Trieste, Strada Costiera 11, 34014, Trieste, Italy

    Roberto Floreanini

  2. Departamento de Física Teórica, Universidad de Valladolid, 47011, Valladolid, Spain

    Javier Negro & Luis Miguel Nieto

  3. Centre de Recherches Mathématiques, Université de Montréal, H3C 3J7, Montréal, Canada

    Luc Vinet

Authors
  1. Roberto Floreanini
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  2. Javier Negro
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  3. Luis Miguel Nieto
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  4. Luc Vinet
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Floreanini, R., Negro, J., Nieto, L.M. et al. Symmetries of the heat equation on the lattice. Lett Math Phys 36, 351–355 (1996). https://doi.org/10.1007/BF00714402

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  • DOI: https://doi.org/10.1007/BF00714402

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