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Nonlocal Symmetries in Nonlinear Heat Equations

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Energy Methods in Continuum Mechanics

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Abstract

The paper is devoted to the study of symmetry properties of second-order nonlinear parabolic equations in divergent form and with a single space variable. It contains also a review of preceding results in the field, including the classical symmetries of the equations mentioned. The main topic of the paper are nonlinear symmetries of these equations.

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Author information

Authors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics, Lavrentyev Prospect 15, Novosibirsk, 630090, Russia

    V. V. Pukhnachov

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  1. V. V. Pukhnachov
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Editors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia

    S. N. Antontsev  & S. I. Shmarev  & 

  2. Universidad Complutense de Madrid, Spain

    J. I. Díaz

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© 1996 Kluwer Academic Publishers

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Pukhnachov, V.V. (1996). Nonlocal Symmetries in Nonlinear Heat Equations. In: Antontsev, S.N., Díaz, J.I., Shmarev, S.I. (eds) Energy Methods in Continuum Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0337-1_8

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  • DOI: https://doi.org/10.1007/978-94-009-0337-1_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6638-9

  • Online ISBN: 978-94-009-0337-1

  • eBook Packages: Springer Book Archive

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