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Global existence for fully parabolic boundary value problems

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Nonlinear Differential Equations and Applications NoDEA Aims and scope Submit manuscript

Abstract.

We present some results on the global existence of classical solutions for quasilinear parabolic equations with nonlinear dynamic boundary conditions in bounded domains with a smooth boundary.

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Authors and Affiliations

  1. School of Mathematics, Trinity College, Dunlin 2, Ireland

    Adrian Constantin

  2. Department of Mathematics, Lund University, 118, 22100, Lund, Sweden

    Adrian Constantin

  3. Institute of Applied Mathematics, University of Hannover, Welfengarten 1, 30167, Hannover, Germany

    Joachim Escher

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  1. Adrian Constantin
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  2. Joachim Escher
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Correspondence to Adrian Constantin.

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Constantin, A., Escher, J. Global existence for fully parabolic boundary value problems. Nonlinear differ. equ. appl. 13, 91–118 (2006). https://doi.org/10.1007/s00030-005-0030-7

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  • DOI: https://doi.org/10.1007/s00030-005-0030-7

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