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Continuous dependence inequalities for a class of quasilinear parabolic problems

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Abstract.

In this paper, we establish continuous dependence inequalities for the solutions u(x, t) of a class of nonlinear parabolic initial-boundary value problems and their gradients when the data are subject to variations.

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Authors and Affiliations

  1. Department of Mathematics, Cornell University, Ithaca, N.Y., 14853, USA

    L. E. Payne

  2. Département de mathématiques et de statistique, Université Laval, Québec, Canada, G1K 7P4

    G. A. Philippin

  3. Département de mathématiques, Faculté des sciences - Semlalia, Université Cadi Ayyad, Marrakech, Morocco

    A. Safoui

Authors
  1. L. E. Payne
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  2. G. A. Philippin
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  3. A. Safoui
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Corresponding author

Correspondence to L. E. Payne.

Additional information

Dedicated to Joseph Hersch on the occasion of his 80th birthday

(Received: February 24, 2005; revised: March 14, 2005)

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Payne, L.E., Philippin, G.A. & Safoui, A. Continuous dependence inequalities for a class of quasilinear parabolic problems. Z. angew. Math. Phys. 57, 750–765 (2006). https://doi.org/10.1007/s00033-005-0046-1

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  • DOI: https://doi.org/10.1007/s00033-005-0046-1

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